Bijganit Purvarddh

Author(s): Bapudev Shastri
Publisher: Medical Hall Press
Catalog link: https://jainqq.org/explore/020330/1

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biijgnnit| pUrvArdha bahuta udAharaNoM se yukta banArasa ke rAjakIya saMskRta pAThazAlA meM gaNita aura jyoti:zAstra ke adhyApaka zrIbApUdeva zAstrI ne banAyA / dUsarI bAra chApA adhyApaka ELEMENTS OF ALGEBRA. FIRST PART WITH NUMEROUS EXAMPLES, BY PANDITA BAPU DEVA SA'STRI, PROTESBOR OT MATHEMATICA AND ASTRONOMY IN TRT SANSKRIT COLLEGE, BENARE BONORARY MEMBER OT THE ROYAL ASIATIC BOCIETY OF GREAT BRITAIN AND IRELAND, HONORARY MEMBER OF THE ASIATIC SOCIETY OF BENGAL AND FELLOW OF TAX CALCUTTA UNIVERSITY. SECOND EDITION: BENARES PRINTED AT THE MEDICAL HALL PRESS. For Private and Personal Use Only

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cosesososos encoreenenessen PRINTED BY #. J. LAZARUS & Co., AT THE MEDICAL BALL PREA, BENARES. ecoccocoe cocoeecocosebelah For Private and Personal Use Only

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TRANSLATION OF THE PREFACE. The science of computation comprehends three branches: 1st. That which treats of numbers.--As the result at which we arrive in each case by the employment of numbers does not in general apply to other cases in which the numbers employed are different, this branch (viz. Arithmetic) is called in Hindi VYAKTA-GANITA, i. e. the computation of particulars. This department of mathematics was originally cultivated in India, whence it spread into other countries. This proposition is strongly supported by the circumstance that the Europeans acknowledge that they owe their knowledge of figures to the Arabs, by whom the science is called The Indian.' 2d.--That which treats of lines.-lu this branch of inquiry our investigations and conclusions are general; but it does not answer all the purposes of computation. The fundamental principles of this branch were at a very early date known in India, whence a knowledge of this science spread into Egypt and other countries. For a minute detail of the circumstances conuected with this, the reader is referred to the preface to my KSHETTRAMITI (a treatise on Geometry in Sanskrit). This department of Mathematics was termed REKHA-GANIT by Pandita Jagannatha of the court of Jayasinha, but I prefer the term KSHETTRA-MITI. 3d.--That which treats of the relations of abstract quantities by means of letters and symbols. As the letters do not, like numbers, disappear when any operation is performed on them, and the result therefore must hold good whatever numbers are substi tuted for the letters the results arrived at by this method of For Private and Personal Use Only

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( 2 ) computation are general. Hence it is called the computation of genera (TATTVA), or the root (MULA) of Arithmetic, or the computation of what are not merely particulars (AVYAKTA). Regarding the invention of this science, viz. Algebra, I am disposed to think that it was orignally cultivated in India, whence it spread into other countries, as examples of Algebraical computation are to be found even in such ancient treatises as the SURYA-SIDDHANTA. There is for instance in the SURYA-SIDDHANTA a rule, (which we give in a note),* deducible only by Algebraical computation, Acharya Shri Kailassagarsuri Gyanmandir * Subtract the square of the sine of the amplitude from the half of the square of the radious. Multiply the remainder by 144. Divide the product by the half of the square of the gnomon (that is, by 72) added to the square of the equinoctial shadow i. e. the midday-shadow of the gnomon when the sun is in the equinoctial points. Let the name of the result arrived at by this process of calculation be KARANI. Let the calculator write down this number for future reference. Then having multiplied twelve times the equinoctial shadow by the sine of the amplitude, let him divide it. by the former divisor (i. e. by 72 added to the square of the equinoctial shadow). Let the result be called PHALA. Let the PHALA be subtracted from, or added to, the square root of the KARANI increased by the square of the PHALA, according as the sun is south or north of the equinoctial. The result is called KONA-SANKU-i. e. "The sign of the altitude of the sun when situated in the vertical circle, of which the azimuth distance is 45." If the sun be south of the calculator, then the KONA SANKU will be south-east or southwest, but if it be north of him, then it will be north-east or north-west. ck 66 Dem. Let x represent the KONA-BANKU. 66 64 P PALABHA (i. e. the equinoctial shadow). Let a represent AGRA (i. e. the sine of the amplitude). KARANI. "k 66 " f Then 12 px: PHALA. 12x Now, since the result of adding the AGRA to, or subtracting it from, the SANEU TALA, according as the sun is south or north of the equator. is called BHUJA (i. e. the sine of the difference between the sun's place and the prime vertical), xa = BHUJA. SAKUNTALA, :: 12 but when the sun is N. E., N. W., S. E., or S. W., it is equidistant from the prime vertical circle and meridian. Therefore the hypotenuse of a right-angled triangle, of which one side is the BHUJA and the other equal to it, is the sine of the zenith dis. tauce. For Private and Personal Use Only

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for determining the sine of the altitude of the sun when situated in the vertical circle of which the Azimuth distance is 45. But all the original treatises on Algebra bave perished, and of those compiled since the time of ARYA BHATA that of BHASKARACHARYA only is in use : the others are rarely to be met with: The first treatise on Algebra published in Greece was that prepared about 1500 years ago by an ingenious Greek named Diophantus. The Arabs and Persians have never been the inventors of any science. They have always borrowed from other nations. Algebra therefore could not have been a science of their invention : bsp. ):= 2 (**+a)= * +2 a3 Now, since the square of the sine of the zenith distance added to the square of the sine of the altitude is equal to the muare of the radius. .:.x2 + + y2 + 2 a? = R$ Clearing fractions, 72 22 + pa 24 apr + 144 a? = 72 R? or (p2 + 72) 9 + 24 apx - 72 R? - 144 ao 22+ 24 ap 72 R2-144 4?_144 ( RP-a!) .** +p+72* p? +72 - pi + 72 Now, in the foregoing equation it will be observed, that the voice of the side containing the knowo quantities is wbat has been already spoken of under the naine of KARANI, and that the half of the co-efficient of 2 i9 wbat has been already spoker. of uuder tha name of PHALA. Completing the square 2 fx + + Extracting the square root +1 / 2+k x=vf+Ff (A) From this it is evident thnt PHALA is subtractod from, or added to, the square root of the EaraNI increased by the syaure of the PHALI according as the sun is south or north of the equinoctial. in (A), if ft be assumed a negative, then the value of x (i. e. of the KOMASAXKU) will also be negative, (i. e. the sun will be below the horizon). As the foregoing calculation is effcoted by a method of procedure clearly Alge. braical, it follows that the Hindus were in possession of that science at the date of the earliest of their mathenatical treatises, For Private and Personal Use Only

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Now we cannot say that they burrowed from the Greeks, since the mathematical works of the Arabs are essentially different from those of Diophantus. Hence there cau be little doubt that they derived their Algebra, as well as Arithmetic, from the Hindus. This science was in course of time introduced by the Arabs into Europe, and thence spread into other quarters of the globe. The first European treatise on Algebra was that of the Italian Lucas de Burgo A. D. 1478. The science was next cultivated in Germany, and Stifel introduced the symbols +,--, and in the year 1544. In 1557, Robert Records introduced the science into Eng. land. Spreading over the whole of Europe, it has now reachod a very high degrec at peraction. There are a gran variety of problms admitting of 30 easy 50lution by the aid of European Algebra, which cannot be solved by the Hindu method. Mr. D. F. M'Leod (then Magistrate of Benares and afterwards Lieutenant Governor of the Punjab) therefore desired me to prepare a treatise on European Algebra in the Hindi Janguage. Although to write properly on such a subject requires a very intelligent person, seeing that Bhaskaracharya declares the science to be nothing cise than "reason exortod," yet, however incompetent for the task, being anxious to meet the wishes of this gentlenian, I ventured upon the undertaking. When the first part of this work was completed, it was lithographed at Bombay in the year 1850 by order of Government, N. W. P. The first purt is out of print and the second part is really for the press. As many people are now very anxious to get the whole work i. e, the first and second parts printed, Nr. Kempson the director of Public Instruction, N. W. P. has encouraged me to publish it. The work is compiled from various European and Native anthors, and SLOKAS of BILASKARACHARYA are occasionally quoted. The first part, which contains 5 chapters, has now been considerably improved and many examples have been added to it. For Private and Personal Use Only

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Chapter I. Definition of terms. Chapter II. Simple Rules including Involution, Evolution, Properties of prime quantities, &c. Chapter III. The Greatest Common Measure and Least Common Multiple. Chapter IV. Algebraic Fractions, Determination of the real values of : and , Circulating decimal periods &c. Chapter V. Nature and Classifications of Equations, Simple Equations involving one unknown quantity, Simple Equations of two or more unknown quantities, Problems producing simple Equations and Single and Double Position. BENARES SANSKRIT COLLEGE:) BAPU DEVA SASTRI. The 18th February, 1874. For Private and Personal Use Only

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// zrI: // bhamikA / gaNita tIna prakAra kA hai / usa meM 1 / jo eka, do ityAdi saMkhyAoM se banatA hai vaha eka gaNita hai| ima meM mo gaNanAprakAra ekatra upapatra ho so prAyaH anyatra upapava nahIM hotA isaliye yaha vizeSa gaNita kahalAve aura isI liye isa kI vyakta gaNita arthAta spaSTa gaNita saMjA hai / yaha pahile bhAratavarSa meM utpanna huA aura phira yahAM se saba pRthvI meM phaila gayA kyoMki yaha atyanta prasiddha hai ki yaha gaNita yuropIyana logoM ne prAraboM se liyA aura pArakha logoM ne bhAratavarSa se liyA kyoMki ve isa ko hisAbe hinda kahate haiN| 2 / jo gaNita rekhAyoM se banatA hai yaha dUsarA / isa se jo gaNa. nAprakAra ekatra upapatra ho yaha sarvatra upapatra hotA hai parantu isase gaNitamAtra kA nirvAha nahIM hai| isa gaNita kI satyabAte atiprAcIna kAla se bhAratavarSa meM prasiddha haiM usa meM kisI ko saMzaya nahIM, parantu yaha mitrAdi dezo meM bahuta phaila gyaa| isa kA savistara vRttAMta mahata kSetramiti yanya kI bhUmikA meM dekha leo| isa prakAra kA nAma jayasiMha rAjA ke jaganAtha nAmaka paNDita ne rekhAgaNita rakhA hai parantu hama ne rasa kA nAma kSetramiti rakhA hai| 3 / jo gaNita saMkhyAoM ke sthAna meM asara rakhake una se banAte haiM vaha tIsarA / isa meM ekatra jo gaNitaprakAra upapava ho usa kA vyabhicAra anyatra kahIM nahIM hotA kyoMki no atara kisI eka saMkhyA kA dyotaka ho to vaha saMkhyAoM ke aisA dUsare akSara meM lupta nahIM ho jAtA For Private and Personal Use Only

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bhUmikA isaliye isa meM phala meM jo eka 2 akSara ke sthAna meM kora saMkhyA rakhA to vaha phala kabhI azuddha nahIM hotA ataeva yaha sAmAnya gaNita kahalAve / aura isI liye isa ko bAja arthAt tattva vA mUla aura avyakta kahate haiM / aba yaha gaNita pRthvIpara pahile kisa deza meM utpanna huA isa kA vicAra karate haiM / 1 * mere vicAra meM yaha AtA hai ki yaha gaNita pahile hindusthAna meM utpanna huA phira yahAM se sarvatra phailA hai| isa kA kAraNa yaha hai ki sUryasiddhAntAdika jo ati prAcIna grantha haiM ina sabhoM meM isa gaNita se upapaca hue prakAra milate haiN| jesA sUryasiddhAnta meM koyazaGka kA Anayana jo* TippaNI meM likhA hai isa kI upapatti bIjagaNita ke Acharya Shri Kailassagarsuri Gyanmandir trijyAvardhito'yajyAvI nAdvAdazAhatAt / punardvadiza nighrAcca labhyate yat phalaM budhaiH // zaGkuvargArdhasaMyuktaviSutradvargabhAjitAt / tadeva karaNI nAma tAM pRthak sthApayedudhaH // zrI viSuvacchAyAgranyathA guNitA tathA / bhaktA phalAkhyaM tadvargasaMyuktakaraNa padam // phalena hInasaMyuktaM dakSiNottaragolayoH / yAmyayorvidizAH zaGkurevaM yAmyottare ravI // parizramati zaGkAstu zaGkuruttarayostu saH // isa kA artha / trijyA ke varga ke Adhe meM ayA kA varga ghaTA ke zeSa ko 12 se guNa ke phira usa ko 15 se guNadezro aura isa meM zaGkhavarga ke Adhe arthAt 72 se i jo bhAva usa kA bhAga deza isase jo bhajanaphala gaNaka loga pAyeMge usa kA nAma karaNI hove usa karaNo ko gaNaka alaga likha rakhe phira 12 gunI palabhA ke ase guNa ke usa meM sAhi bhAga dezro arthAt 72 se sahita ko palabhAvarga usa kA bhAga dekho jo labdha hogA usa kA nAma phala hove / aba isa phala ke varga se sahita jo karaNI usa kA vargamUla usa phala se rahita vA sahita karo jaba sUrya dakSiNA kA uttara gola meM hove arthAt jo sUrya dakSiNa gola meM hove to karaNI ke vargamUla meM phala ghaTA dezro aura jo uttara gola meM hove to phala jor3a dezro sAzaGku hotA hai| yaha zaGka jisa sthAna ke liye zaGka siddha karate ho usa kI dakSiNa kI aura sUrya bhramaNa karatA ho to zrI aura nairRtI dizAoM meM banatA hai aura jo uttara kI ora sUrya bhramaNa karatA ho to, IzAnI aura bAyatrI dizAoM meM banatA hai isa ko upapatti yaha hai / yahAM mAno ya = -koNazaGka / taba 12: palabhA : yaH pa 12 For Private and Personal Use Only ya zaGkulala /

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Shri Mahavir Jain Aradhana Kendra bhUmikA / binA nahIM ho sakatI isaliye ina atiprAcIna granthoM ke bhI pahile se bIjagaNita yahAM prasiddha hai yaha siddha hotA hai / parantu bIjagaNi ke A yanya saba naSTa hue sAMprata AryabhaTa ke kAla se idhara jo bIja aba jo dakSiNa gola meM sUrya ho to zaGkutala meM prayA jor3a dene se aura jo uttara gola meM ho to ghaTAdene se bhuja banatA hai :. pa ya + a = bhuja / 12 paraMtu jaba koNa meM sUrya rahatA hai taba usa ko jitanA antara samamaNDala se rahatA hai utanAhi yAmyottara vRtta se rahatA hai isaliye taba dRgjyA arthAt natAMzoM kI dhyA ka hotI hai aura bhuja aura koTI ye donoM bhuja ke samAna hote haiM / 2 3 dRgjyA = 2 2 pa ... ya + .... 72 2 apa 2 + ya+3zra 1 72 3 aba zaGkubarga ora kRgjyAvarga ina kA yoga trijyAvarga ke samAna hotA hai / 2 apa 2 pa ya 2 ... ya + 12 www.kobatirth.org * ya e pra 3 chedagamase, 726 + khA, ( pa + 72) 2 ya +2 a tri 22 paya e + 24 apa + 144 zra 2 2 = 72 tri ya = 24 zrapaya 7 Acharya Shri Kailassagarsuri Gyanmandir 2 144 pra 24 zrapa 2 + 72 2 + 75 pa2 + 72 isa se spaSTa prakAzita hotA hai ki isa meM jo vyakta pakSa hai usa kI karaNI saMjJA kiI hai aura ya ke vArayotaka ke Adhe kI phalasaMjJA kiI hai / .. ya e + 2 phaya = ka 2 vargapUrti se, ya e + 2 phaya + pha mUla lene se, yadeg pha = Vphara + ka 2 = pha + ka = 72 tri 144 zra 144 (tri - zra e) For Private and Personal Use Only - ya - 1 phara + R + pha isa se phala ke varga se sahita jo karaNI usa kA vargamUla usa phala se rahita vA mahita karo jaba sUrya dakSiNa vA uttara gola meM hoye yaha spaSTa prakAzita hotA hai isa meM jo (phara + ka yaha vyaktapakSa kA mUla RNa mAno to donoM gola meM zaGkamAnaM RNa hogA arthAt taba sUrya kSitija ke nIce koNavRtta meM pravegA / yaha Upara kA gaNita kevala bIjahI se banatA hai isa se spaSTa hai ki ina pratiprAcIna siddhAntoM ke bhI pahine me bIjagaNita kA pracAra yahAM thA /

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bhUmikA bane haiM una meM eka zrIbhAskarAcArya kA bIjagaNita prasiddha hai aura sa are milate haiM 1 anumAna 1500 barasa pahile grIsa deza meM eka DAyAphaNTasa nAmai bidvAn huvA usa ne vahAM bIja kA banya pahile banAyA / cAraba vA phArasa ke logoM se kodra vidyA kabhI utpanna nahIM huI inhoM ne saba vimAnoM kA saMgraha dUdhara udhara se kiyA taba bIjagaNita avazya inheM ne dUsare se liyA hai isa meM saMzaya nahIM sobhI grIka logoM se na liyA hogA kyoMki DAyAphaNTasa kA bIja aura cAraboM kA bIja dUna meM bar3A bIca hai isaliye unhoMne vaha bIka logoM se nahIM liyA yahI siddha hotA hai / taba Avazya ve jaisA vyaktagaNita hindusthAna se le gaye vaisA bIjagaNita bhI yahAM se le gaye hoMge yaha sambhAvya hai / phira Araba se yuropa meM gayA / yo samaya pRthvI meM bIjagaNita hindusthAna se gayA hai / ye yuropa meM bIjagaNita kA grantha pahile IsavI san 1478 meM lukAsa star nAmaka eka vidvAna iTalI deza meM le gayA phira vahAM se jarmanI deza meM gayA vahAM san 1544 meM striphela nAmaka eka vidvAna ne dhana, RNa aura mUla dUna ko yotita karane ke liye krama se +, cihna ThaharAe / phira thor3ehI kAla se san 1550 meM rAbarTa rikArDa ne iglaMDa meM isa vidyA kA pracAra kiyA yoM yuropa meM yaha vikA pherA gii| vaha aba vahAM paramAvadhi ke nikaTa pahuMcI hai saMprati yuropiyana roti se jo 2 bIja ke viSaya siddha hote haiM ve hamAre bhAratavarSIya boloM se kisI prakAra se sAdhya nahIM haiM isa kAraNa ve boja ke prakAra isa deza meM prasiddha hone ke liye pahile zrIyuta DI. eph. meklor3a sAhiba ne (jo phira paMjAba ke gavarnara hue the) mujha ko yaha grantha hindI meM banAne kI AjJA diI / phira yadyapi bIja kA grantha karanA yaha atizaya sUkSma buddhi jisa kI hogI usI kA kAma hai kyoMki yaha kevala buddhi kA vyApAra hai ( yoM bhAskarA For Private and Personal Use Only

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bhUmikA / cArya ne bhI apane grantha meM likhA hai) tathApi maiM alpabuddhi kevala usa pUrvokta mahAzaya kI icchA pUrI karane ke liye usa kI AjJA ke anusAra isa yanya ke banAne meM pravRtta huA / aura jaba isa grantha kA pUrvArdha bana gayA taba vaha pazcimottara dezAdhyakSa zrIgavarnara sAhiba kI zrAjA se san 1850 meM baMbaI meM chApA gyaa| phira pahilI bAra pIhuI pUrvArdha kI prati saba uTha gaI, aura isa grantha kA uttarArdha bhI hamArA banAyA huA chApane ke liye siddha huA / aura jaba bahuta logoM ko isa samaya grantha ke chapajAne kI bar3I utkaNThA huI taba pazcimottara deza ko saba zAlAo ke Dairekara zrI kemasan sAhiba ne isa samaya grantha ke chapa jAne meM mujha ko bar3A protsAhana aura sAhAyya kiyA / yaha yanya aneka aMgrejI ke aura isa deza ke bIjagaNitoM ko dekha ke banAyA hai isa meM prasaMga se zrIbhAskarAcArya ke zloka bhI kahIM 2 likhe haiM / isa kA pUrvArdha jo pahilI bAra chapA thA usa se sAMprata ke pUrvArdha meM bahuta vizeSa haiM aura abhyAsa ke liye udAharaNa bhI pahile bahuta adhika dUsa meM likhe haiM / se isa pUrvArdha meM 5 adhyAya haiM / 1 le adhyAya meM paribhASA, aura usa kA acchI bhAMti bodha hone ke liye kucha utthApana ke udAharaNa aura pratyakSa bAteM itane viSaya haiM / 2 re meM saMkalana, vyavakalana ityAdi 6 parikarma aura anta meM prakIrNaka arthAt agrima viSayoM ke upayogI kucha phuTakara viSaya likhe haiM / isa prakIrNaka meM pahile samAna vA viSam do pakSoM kA samazodhana vA pakSAntaranayana, saMkramaNa, bIjAtmaka adRDha rAzi ke guNyaguNakarUpa vayavoM kA jJAna hone ke liye kucha upayogI yukti aura paraspara jA do rAzi dRr3ha haiM una ke guNa itane viSaya kahe haiM / For Private and Personal Use Only

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bhUmikA / 3re meM bIjAtmaka padoM kA mahasamApavartana aura laghutamApavayaM jAnane ke prakAra haiN| 4 the meM bIjAtmaka, bhinnapada, una ke bheda, una ke saMkalanAdika 6 parikarma aura prakIrNaka itane viSaya kahe haiN| isa prakIrNaka meM chedagama, viSamapakSoM kA gaNita, RNAtmaka aura bhintrAtmaka ghAtamApaka, * aura 0 dana ke guNa aura aura ina rAzioM kA vAstava mAna jAnane kI rIti, aura anta meM dazamalava bhivarAzioM kA gaNita hai| 5 ve meM samIkaraNa, usa ke bheda, ekavarNa ekaghAtasamIkaraNa, aneka. varNa ekaghAtasamIkaraNa, ekaghAtasamIkaraNasaMbandhi prazna, aura anta meM dRSTakarma aura dvISTakarma hai| For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra paribhASA saMkalana vyavakalana koSTha gumAna bhAgahAra ghAtakriyA mUlakriyA prakIrNaka ... 329 *** 300 *** D ma samApavartana laghutamApavartya ** 649 110 100 ... 140 100 146 guNana bhAgahAra ghAtakriyA malakriyA freibandhiprakIrNaka ... // anukramaNikA // ... bIjAtmakabhitra padoM kA vyutpAdana frapadoM kA rupabheda saMkalana aura vyavakalana ... *** 174 www.kobatirth.org ... co adhyAya 1 *** adhyAya :: 00000 ... :: ::: adhyAya 3 111 ... adhyAya 4 4 FDM 142 :: ::::: ::::: :.. : Acharya Shri Kailassagarsuri Gyanmandir DD. (es For Private and Personal Use Only :: :: :: :: ::: ::: ::::: ::: : : : ... 443 : : .. ::: 190 *** SAS :: *** ::: *** ::: ... 200 ... ... 406 ... *** 0.0 ... 21 Y - 11 17 20 67 35 46 52 62 pa 103 117 118 127 139 144 153 150 162

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samIkaraNa kA vyutpAdana eka ekaghAta samIkaraNa anekavarNaekaghAta samIkaraNa ekaghAta samIkaraNa saMbandhi prazna duSkarma aura duSTakarma *** **0 *** 10 isg adhyAya 5 000 : : Acharya Shri Kailassagarsuri Gyanmandir : :: :: For Private and Personal Use Only : E ... 130 *** 189 191 215 235 370

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natvebhAsyaM vakSye yuropiyanarItito bIjameM mphaTayA hindyAkhyagirA bApUdevAbhidhAno'ham // 5 // bIjagaNita adhyAya 1 / prakrama / a, ka, ga, ityAdi ataroM ko saMkhyAoM ke ghAtaka arthAt dikhalAne hAra mAna ke unhIM akSaroM se jo gaNita karate haiM usa ko bIjagaNita kahate haiN| yaha prAyaH saba gaNitoM kA upayogI hai| yahAM jo no saMkhyA vyakta arthAt jAnI huI haiM una ke yotaka a, ka, ga, ityAdi varNamAlA ke pahile atara mAnaliye haiN| aura jo saMkhyA avyakta arthAt ajJAta haiM una ke dyotaka ya, ra, la, ityAdi varNamAlA ke anta ke atara mAnaliye haiN| aura bina saMkhyAoM ke vyaktatva kA vA avyaktatva kA nizcaya nahIM hai unake dotaka ta, tha, da, ityAdi madhyama varNa mAnaniye haiN| aura ina saba varNI ke saMkalana, vyavakalana ityAdi parikoM ko kitane eka+,-.x, ityAdi vihAM se dikhalAte haiN| paribhASA / 2 / + yaha niha saMkalana kA yotaka, isa ko dhana cihna kahate haiN| yaha cihna nisa pada ke arthAta kisI saMvyA ke dikhanAne hAre bIjA. smaka cihna ke pahine rahatA hai so dikhanAtA hai ki usa kevala pada kI saMkhyA jor3I huI hai usa ko dhana para kahate haiN| aura isIliye kora do padoM ke bIca meM vA bahuta pada hArve to pAsa 2 ke do 2 padoM ke bIca meM + isa citra ko likhane meM jo banatA hai vaha dikhalAtA hai ki una saba For Private and Personal Use Only

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paribhASA | padoM kI saMkhyA milake ikaTThAM kiI huI hai / jaisA / a + ka yaha dikha lAtA hai ki kI saMkhyA meM ka kI saMkhyA milAI hai / aura a + ka + ga yaha a, ka aura ga ina kI saMkhyAoM ke yoga ko dikhalAtA hai / -- 3 1 yaha cihna vyavakalana kA dyotaka, isa ko RNa cihna kahate haiM / yaha cihna jisa pada ke Adi meM rahatA hai so dikhalAtA hai ki usa kevala pada kI saMkhyA ghaTAI hai / aura usa ko RNa pada kahate haiM / ka yaha dikhalAtA hai ki kI saMkhyA meM ka kI saMkhyA jaisA / a ghaTAI hai / - Acharya Shri Kailassagarsuri Gyanmandir -- -gha, (a + ka) + (ga 4 / + + ga gha), {a + ka } + ga gha, vA, [a + ka] + [ga gha] ye saba cAroM pratyeka dikhalAte haiM ki a + kakI saMkhyA meM ga gha kI saMkhyA jor3a diI hai| aura+ka ga gha, (+ka) - (ga + gha) ityAdi pratyeka dikhalAte haiM ki a + ka kI saMkhyA meM ga dha, kI saMkhyA ghaTA diI hai| isa cihna ko hala aura ( ), { } aura [ ] ina ko koSTha kahate haiM / ye saba pratyeka dikhalAte haiM ki apane antargata jo pada haiM ve milake eka pada hai / -G eka hi artha dikhalAne ke liye eka hula aura tIna koSTha ye cAra cihna kalpanA karane kA prayojana yaha hai ki jaba eka koSTha kA kAma ho taba to prAya: ( ) yahI koSTha likhate haiM aura eka ke bAhara eka aise aneka koSTha karane kA kAma par3e taba jo eka hi prakAra kA koSTha kA cihna ho to kauna koSTha kahAM taka hai isa kA turaMta bodha na hogA aura vijAtIya koSTa hoM to isa meM vyAmoha na hogA / For Private and Personal Use Only jaisA / ca - [gha - {ga - ( + ka) ) ] yaha dikhalAtA hai ki a + ka kI saMkhyA ko ga kI saMkhyA meM ghaTA ke zeSa ko phira gha kI saMkhyA meM ghaTa ke isa zeSa ko na kI saMkhyA meM ghaTA dekho / jo eka hi prakAra kA koSTha kA cihna ho to isa artha kI zIghra upasthiti na hogI / isa liye aneka prakAra ke koSTha ke cihna kalpanA kiye haiM /

Page #20
Aw paribhASA / 5 / 4 yaha vA * yaha cihna guNana kA yotaka hai| jaisA, 4xka vA aka yaha a aura ka ina ke guNanaphala ko dikhalAtA hai| isI bhAMti aXX ga, vA, akAga yaha a, ka aura ga ina ke guNanaphala ko dikhalAtA hai / yahAM a, ka aura ga ina ko guNyaguNakarUpa avayava kahate haiM / paraMtu jo guNyaguNakarUpa avayava kevala bIjAtmaka pada ho to una ke guNanaphala meM lAghava ke liye prAyaH guNanacihna nahIM likhate, / jaisaa| a, ka aura ga ina ke guNanaphala ko prAyaH akaga, yoM likhate haiM aura 3, ya aura ra ina ke guNanaphala ko 3 yara yoM likhate haiN| isI bhAMti a (ka + ga), vA, aX ka+ga ityAdi pratyeka dikhalAte haiM ki ka+ga kI saMkhyA ko a kI saMkhyA se gaNa diyA hai| aura a+ ka x a+ga, vA, (a+ka) (+ga) ityAdi pratyeka pra kAra a+ ga ke guNanaphala ko dikhalAte haiN| kisI pada ke guNyaguNakrarUpa do avayava mAna ke guNaka ko guNya kA vArasrotaka kahate haiN| jaisaa|5 aya, yahAM 5 ko aya kA vArayotaka kahate haiM / 5 a ko ya kA vArayotaka kahate haiN| aura isI liye a kA vArajhotaka 1 hai| hai| yaha cihna bhAgahAra kA dyotaka hai| jaisaa| aka yaha dikhalAtA hai ki a kI saMkhyA meM ka kI saMkhyA kA bhAga diyA hai / parantu bhitrapada kA aMza bhAjya hai aura cheda bhAjaka hai isaliye bhAjyabhAjakoM ko bhitrapada kI rIti se bhI likhate haiN| jaisA, a| aisaahi| a+ka: ga-gha, (a+ ka) :- (ga-gha), 7- ye hara eka dikhalAte haiM ki a+ka kI saMkhyA meM ga-- gha kI saMkhyA kA bhAga diyA hai| 7 / samAna arthAt ekarUpa do vA bahuta padoM ke guNanakarma ko ghAta. kriyA kahate haiN| aura samAna padoM kI saMkhyA ko ghAtamApaka kahate haiN| For Private and Personal Use Only

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paribhASA / yahI ghAtamApaka ghAsa kriyA kA dyotaka cihna hai isa ko malapada ke Upara dahinI ora likhate haiN| jaisA / a thA ana isa ke sthAnapara arthAt ako isI meM gaNake jo phala hogA usa ke sthAnapara arayoM likhate haiN| aura aisa ko akA varga vA pravarga kahate haiN| sAhi / 4 x a, vA, aaa ke sthAnapara yaha likhate haiN| aura isa ko akA ghanaghA aghana kahate haiN| aura axxx ityAdi na padoM ke guNanaphala ke sthAnapara ana yo likhate haiN| aura isa ko a kA bhaghAta vA anaghAna kahate haiM / aura isI liye akA ghAtamApaka 1 hai yA yaha isa ke samAna hai| rasI bhAMti (a+ka), (a+ka), (+ kama se kama se a+ka sabarga, ghamara maghAtako dikhalAte haiN| 8 / koi eka pada jisa kisI dUsare pada kA vargAdika ghAta ho upta dUsare pada ko usa zatarUpa pada kA vAdimUla kahate haiN| aura usa dhAta ke ghAnamApaka ko usa manarUpa pada kA malamApaka kahate haiN| yahI mUlamAyaka dasa cihna meM raha ke mUlaniyA ko dikhalAtA hai| jaisaa| yaha ake vargamUla ko dikhalAtA hai / isa ko prAyaH 'a yoM hI likhate haiN| "a yaha ake dhanamala ko dikhalAtA hai| a yaha pA ke catughItamala ko dikhalAtA hai| na/ yaha dikhalAtA hai ki jitanI na hI saMkhyA hogI utanA kAla liyA hai isakA kA nahAtamUla kahate haiN| caahi| .. + ya yaha a+ ya ke vargala ko dikhalAtA hai| For Private and Personal Use Only

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paribhAna / ka -ya yaha dikhalAtA hai ki a-ya ke ghanamUla ko ka se guNa diyA hai / . .. sAtave prakrama meM no ghAtamApakoM ke likhane kA prakAra kahA hai usa se yaha siddha hotA hai ki ghAtamApaka kA cheda malamApaka hai / isa hata se ghAta aura mala ina ke karma samAna kriyA se banane ke liye bhivaghAtamApaka ke dvArA mUlakriyA ko dikhalAte haiN| ' jaisA / are yaha a ke ekaghAta ke vargamala ko arthAt a ke vargamala ko dikhalAtA hai| isI bhAMti a yaha ake ghanamana ko dikhalAtA hai / a yaha a ke catutamUna ko dikhalAtA hai| aura a yaha a ke naghAtamUlaH ko dikhalAtA hai| aura a yaha dikhalAtA hai ki ke varga kA ghanamUla liyA hai ghA ke ghanamUla kA varga kriyA hai| aisAhi / a + ka ' yaha vA (a + ka) yaha a + ka ke vargamUla ko dikhanAtA hai / (a- yA yaha a-ya isa ke ghana ke catutamala hai| vA catughAMtamUla ke ghana ko dikhalAtA hai| hai| isa prakrama meM dUsare kitane eka upayogI cihnoM ko likhate haiN| (1) :::, : yaha vA :,-, : yaha tIna avayavoM kA ciTTa anupAta ko dikhanAtA hai / jaimA, akaga:gha, vA, aMkaga :gha, yaha dikhalAtA hai ki akA ka meM bhAga dene se jo labdha hogA vahI.ma. kA / ___(2) - yaha niha samatA ko dhA ekarUpatA ko dikhalAtA hai / jaisA, + ya = ka-ga, yaha dikhalAtA hai ki ameM ya ko nor3a dene se jo banatA hai so ka meM ga ko ghaTA dene se jo bacatA hai usa ke samAna hai| - - rasa ko apasi (72) he prakrama ke (6) vI yukti meM dekho| For Private and Personal Use Only

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paribhASA | aisAhi / ya + a = 1 - kala + 2ga yaha dikhalAtA hai ki ya+, ra - ka aura la + 2ga ina tInoM kA mola samAna hai / (3) jina do padoM ke bIca meM < yaha vA > yaha cihna rahatA hai una meM jo pada cihna ke aya kI ora rahatA hai vaha dUsarI ora ke pada nyUna hotA hai / jaisA / > ka, vA, ka< a, yaha dikhalAtA hai ki hai / se seka nyUna (4) 70 yaha cihna antara ko dikhalAtA hai| jaisA, ka. yaha aura ka ina meM jo choTA hogA usa ko bar3e meM ghaTA dene se jo zeSa bacegA usa ko dikhalAtA hai / (5) * isa ko jisaliye bolate haiM / (6) : isa ko isaliye bolate haiM / (7) i0, ityA0, Acharya Shri Kailassagarsuri Gyanmandir ..... ye hara eka cihna ityAdi ke vyotaka haiM / 10 cahnoM se vA bIjAtmaka akSaroM se jo saMkhyA vA rAzi dikhalAyA jAtA hai usa ko pada kahate haiM so do prakAra kA / eka kevala aura eka saMyukta | 1 (1) jo pada eka hi saMkhyA ko dikhalAtA hai vaha kevala pada hai jaisA / kaga, 52 / (2) jahAM do vA tIna ityAdi aneka kevala pada paraspara saMbaddha haiN| vaha saMyukta pada hai | jaisA / a + ka, bA, ya' + 2 zraya - ka... / saMyukta pada meM jo pahilA pada hai so aura jo kevala pada hai so yadi dhana ho to vahAM prAyaH dhana cihna nahIM likhate / jaisA, yahAM vAya / saMyukta pada meM jo kevala pada rahate haiM una ke likhane kA kucha krama nahIM hai / jaisA | + 5 ka 4 ga + 5ka, vA, 5 ka www -- 4 ga vA 4 ga, vA, 8 ga + + 5ka, bA, - 4 ga + cA thA, 5 ka + - 4 ga d For Private and Personal Use Only

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pribhaasst| +5+ a, ina chaoM kA mola vahI hai jo a.aura 5ka ke yoga meM 8 gIta ghaTAne se bacatA hai| ___ (3) jisa saMyukta pada meM do yA tIna ityAdi ke samako krama se dviyukpada vA triyukpada ityAdi kahate hai jisa meM hara kevala pada rahate haiM usa ko bahuyukpada kahate hai| jaisA / a+ ka yaha dviyukpada hai| . a- 2 aya + 5ya yaha triyukpada hai| a- 4 ka+5ga - gha yaha caturyukpada hai / aura a-2+31-4 ca+5cha-dU0 yaha bayukpada hai| 11 / jina ke atara aura vargAdika samAna haiM ve pada sajAtIya kahalAte haiN| jaisA / 3a, 7 a, vA,-5 aya, aya, 7 aya / 12 / jina ke atara aura vargAdika bhivarUpa haiM ve pada vijA. tIya kahalAte haiN| jaisA / 7 a,5ka, vA, 3 a, 6 aya, 8 are| .. 13 / jo ciha saba dhana vA saba guNa haiM ve sajAtIya haiN| 14 / vijAtIya cihna vehI haiM jo kucha dhana aura kucha kSaNa haiN| 15 / jaba kisI pada kA mola avyakta rahatA hai taba usa mola ko unmiti kahate haiM aura jaba vaha mola jJAta rahatA hai taba usa ko mAna kahate haiN| 16 / kisI pada ke sthAna meM usI pada ke unmitI ke vA mAna ke rakhane kI kriyA ko utyApana kahate haiN| 17 / aba isa paribhASA kA acchA jJAna hone ke liye alaga 2 cihnoM se jur3e hue padoM kA samudita mAna utthApana se jAnane ke liye For Private and Personal Use Only

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parimANa / budha udAharaNa likhate haiN| ina udAharaNoM meM 4-5, ka-8, ga* 3, gha-2,ca-1 aura cha - * mAnA hai| (1) + -+2 +944-3+242 -5+8-3+4 = 17-3 = 14 / (2) aka-(ga-gha) =544 - (3-2) = 20 - 1 = 18 / (3) (+3 ca)(gha-8 cha) = (5+34 1)(2-440=042 =16 / (7) a+ka- (ga--gha) +ka-ga-gha 5 5+8-(3-:) +4-3-2 -1 - 2 / 50. // kI (+kA ga-gha) (2) anaka ga-gha (5+8) (3-2) Ex1 5,443-3-3+12- 15 (6) (a-ka) = (3-4)2 == 12 = 1 / (7) (+4 caka) = (5+ 44140)3 = (5+ 0)3 == 53 = 125 / (8) {a- (ka -- ga)2}" = 15-- (4 -- 3)2} = (5 -- 12,4 = * * 25 / (e) V +2 + ga =V +244+3=/ +8=V16 (10) a-3-V = Ve= -ga = /25-12- 25- abhyAsa ke liye aura udAharaNa / (1) a+5ka-ya+ 139 isa kA mAna kyA hai? jo isameM -7, ka= 2, ya-5 aura ra utsa, 25 / For Private and Personal Use Only

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paribhAta / (2) apa-2kara+gala ise kA mAna kyA hai? jo isa meM - 4, -3, ga-2, -5ra-6 aura la / uttara, .. (3) akaga-akaya+ agaya-kagaya isa kA mAna kyA hai? no isa meM a6. ka =5, ga=3 pora y-2| uttara, 36 / (4) a (ka+ya) + ga (ka-ya) isa kA mAna kyA hai? jo isa meM 2, ka = 7, ga=4 gAra y-5| uttara, 32 / (1) a +3 apa-5yara isa kA mAna kyA hai jo isa meM aura y=3| uttara 45 / .. (E) (a+ ya)2-3 (a-ya) (ka-ya) isa kA mAna kyA hai ? no isa meM a-- 8, ka = 8 aura ya =5 / uttara, 160 / (7) (ya +1)2 - (ya+yara+) isa kA mAna kyA hai? no rasa meM 13 aura 1- ho| uttara, 36 / +ya ara-ghara (8) noa = 3aura ya = ho to -sakAmAna a-ya a+ ya kyA hogA? uttara, 3 / () jo a-2, ka - 13 aura ga=5 ho to aW/ka-ga)ra -/a (ka + ga) rasa kA mAna kyA hogA? utsara, 2 / For Private and Personal Use Only

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paribhASA / ... (10) V {ya (ya+21)+ la} + V la (2ra-la)-5 ya} isa kA mAna kyA hogA ? no isa meM ya = 3, ra= 4 aura l-ho| uttara, 12 / 18 / isa zAstra meM kitanI eka pratyakSa bAteM bahuta upayogI haiM jina ko siddha karane ke liye kucha upapAdana nahIM karane pdd'taa| aura jina ko sunate hi saba loga mAnya karate haiM una ko likhate haiN| (1) jitane rAzi hara eka kisI dUsare rAzI ke samAna haiM ve saba paraspara samAna hai| (2) samAna do rAzioM meM samAna hi milAne se vA ghaTAne se vA una ko samAna se guNa dene se vA una meM samAna kA bhAga dene se una kA samatva bigar3atA nhiiN| (3) jina do rAziyoM kA antara jitanA hotA hai ve ryAda eka hi rAzi se adhika vA nyana kiye jAve taubhI una kA antara utanA hi rahatA hai| (8) jina do rAziyoM kA yoga jitanA hotA hai una meM se eka rAzi yadi kisI eka rAzi se adhika kiyA jAve aura usI se dUsarA nyana kriyA jAve taubhI una adhika aura nyana kiye hue rAzioM kA yoga utanA hi hotA hai| (5) nyana aura adhika do rAzioM ko eka hi rAzi se guNa deo thA bhAga deo taubhI krama se ve nyUna aura adhika hi rahate haiN| . (6) jitane rAzi hara eka kisI eka hi rAzi se dviguNa vA adhika guNa haiM athavA kisI eka hi rAzi ke Adhe vA koI aMza haiM ve saba rAzi paraspara samAna haiN| (7) jo rAzi kisI dUsare rAzi se jor3a ke ghaTAyA jAve yA guNa ke bhAgA jAye tabhI vaha rAzi joM kA tyoM rahatA hai / For Private and Personal Use Only

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saMkalana / . 11 (5) ko rAzi apane aMza se bar3A hotA hai aura apane saba aMzoM ke yoga ke samAna hotA hai| adhyAya 2 / isa meM maMkalana, vyavakalana ityAdi cha parikarma aura prakIrNaka haiN| saMkalana / 16 / yahAM saMkalanIya padoM ko apane 2 dhana VNa cihna ke sAtha alaga 2 likhane se jo banatA hai so saMkalita arthAt yoga hai / isa meM yadi kucha sajAtIya pada hoM to una ko milA ke eka hi baMda kara deo aura yadi vijAtIya pada hoM to una ko apane dhana zreNI cihna ke sAtha alaga 2 likho so hi una kA yoga yahAM sajAtIya saMkalanIya padoM kA saMkalana do prakAra kA hai| .. pahilA prakAra / jaba sajAtIya saMkalanIya padoM ke cihna sajAtIya haiN| 20 / rIti / saMkalanIya padoM ke saMkhyAtmaka vArasrotakoM kA vyaktagaNita kI rIti se yoga karo aura usa yoga ke pIche sajAtIya pada ke akSara vA akSaroM ko likha ke parva meM dyotaka cihna jo dhana ghA bhUNa hogA so likho|. ___ * isa kI yukti yaha hai| + a aura + ka ina kA yoga paribhASA se + + (+ ka) yaha hai / aba cautho pratyakSa bAta se| + + (+ka) = + + ka + (+ka-ka) = + a + ka + 0 = + ka / aisaahi| - a, - ka ina kA yoga = - a + (-ka) %3D - -ka+ (-ka+ka) = - -k+0=-a-k| isa se spaSTa hai ki padoM ko apane 2 dhana RNa cihna ke sAtha alaga 2 likhane se saMkalana banatA hai| __ + isa kI yukti yaha hai / yadi asaka rupayA kA dyotaka ho aura ka eka paise kA yotaka ho to aura ka ina donoM kA yoga do rupaye bhI na hogA do paise bhI na hogA kintu + ka eka rupayA aura eka paisA yahI hogaa| bhAskarAcAryajI ne bhI kahA hai ki (yogAntaraM seSu samAnajAtyArSibhinajAtyAzca ethaka sthitiH syAt) For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 12 udAharaNa / (1) 5 4 pra udA0 (4) www.kobatirth.org 3 gra 2 saMkalana | Jie (2) - 5 kara 3 gre - ka Ke 3 ghara - 6 la 10 a 10yara- 11 la (1) yahAM 5 R, 4 . aura ina kA yoga 10 hotA hai| kyoMki yaha eka hi padArtha pAMca bera, cAra bera aura eka bera mila ke dasa hi bera hogA yaha spaSTa hai / 2 ka -14kara - (2) yahAM - 52 -01 aura 2kara ina kA yoga 14 kara hotA hai / isa kA bhI kAraNa spaSTa hi hai ki jo kara yaha eka hi padArtha pAMca bera, sAta bera aura do bera RNa kiyA jAve to vaha padArtha caudaha bera RNa hogA / Acharya Shri Kailassagarsuri Gyanmandir www (3) isa meM pahile 5 yara, 2yara aura 3 para ina kA yoga 10 para aura - la9 - 4 la aura -6 la e ina kA yoga - 11la hotA hai / a 10 ghara - 112 ye dono vijAtIya haiM isaliye ina kA 10 ghara - 11 la1 yahI yoga hai / dUsarA prakAra / jaba sajAtIya saMkalanIya padoM ke cihna vijAtIya haiM (3) 5 yara - 2yara - 21 / roti / dhana vArayAtakoM kA aura RyA bArAtoM kA laga 2 yoga karo phira jisa yoga kI saMkhyA adhika ho usa meM jisa kI saMkhyA nyUna ho usa ko ghaTA ke jo zeSa banegA usa se Adi meM adhika yoga kA cihna likho aura usa ke pIche sajAtItha patra likha dezo (5) - 3kara + 5 ya 13 kara 3 praya - 4 ka + ayare 9 kare- 10 aya 15 ka 7 vAyara For Private and Personal Use Only la 4 la - (6) 2-3 ka +2 4 +9 zra Adul 5 ka 22-5 ka + 6 ka * ka 8 + ka 15 2 - 6 ka

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saMkalana / (8) dasa meM pahile apAra apana kA yoga a| phira - caura -2 arana kA yoga - 5 hai| aba a, bora -57 dama kA yoga -5 a, vA, 3 hai| isI bhAMti pAMca pAra chaThane udAharaNa meM bhI yoga jaano| 22 / aba yadi saMkalanIya padoM meM sajAtIya padoM ke nIce sajAsIma paMka na ho to jora sajAtIya pada idhara udhara hoMge una padoM ko khoja ke una ke alaga 2 yoga karo phira yoga aura jitane zeSa vijAtIya pada home una sabhI ko apane 2 dhana vA paNa cihna ke sAtha alaga 2 likho| udA. (7) 2kaga - 2 akr+g| yahIM kara-5-2 kaga+ka/2kaga-2 kAga+kama-kaga a + 5 aka -ka -zyaka+5praka-3paka - . 17-2ga+krama-3yaka | ga-2 --gara ghoga kaga-ga++ + / kara-kara . -5+ 17 = 12 pAra kara +4 praka abhyAsa ke liye para udAharaNa / (1) 2 a, 8 a, a, aura 14 adana kA yeoga kro| uttara, 25 (2) a + praka, 13 +2 aka, a+5 aka aura ina kA yoga kyA hogA? . uttara, 29 a+18 ka / (8) 5 +7, 3 +2 a ma +3 aura 13 ko nodd'o| . uttara, saya + 13 a| + dama For Private and Personal Use Only

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98 saMkalana | (4) 12 82 - 2 yala + la1, 362 - 5 yala +9 la, 11 ya + 2la aura ya' - 4 yala + la ina kA yoga kyA hai ? uttara, 35 82 - 14 yala + 18la / (5) ya + 6ra + zla, 4ya +5+ 9la, 6 + 3ra + la aura ya +5+8 la ina kA yoga kyA hai ? uttara, 25 +17ra + 16la / / , (6) 4 - 5 ka + 02 - 5 - 6 - ga aura - + 39 ka + 2ga ina kA yoga kyA hotA hai ? 16 2 - 3 ka + 11 gare / uttara, 21 a2 - 29.82 / (8) ya - 5 atha + 5 3 ya -- 7 atha + 52 - 3 3 ra 4 ina kA yoga kaho / uttara, (7) 8- 92, 2 - 382, 5-10 ya aura 62 - 7 ya ina ko ikaTThA karo | - > Acharya Shri Kailassagarsuri Gyanmandir uttara, 13 ya3 - 6 a + 3 3 / 3 yala 5ya3 + + 21 / + 12 ka + 8-8 atha - 23, + 2 - 8 + (C) Ayara + 5 katha - 7ga, 3 a + 8 katha -2, 52 + 9 kaya -4 ga aura 9 aya + kaya - 6ga ina kA yoga kyA hogA ? uttara, 16 + 23 katha - 16 ga / - (10) 3 kareMga - 7gha eca 2, 4 karega + 3 ghareca karegaghaca, 2 + 2ghaca' aura -- 5 ka + 9 gha ca dUna ko jor3a ke yoga kaho ! uttara, - 3 karega + 6 gha / For Private and Personal Use Only (11) 50 - 7 8 + 4ya + 17, - 2+5+11 - 8, 063 +62-84+3, ca2 -q2 + s +8 m - 1383+282 - - 16ya + 5 ina kA yoga kaho / uttara,

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saMkalana / 15 . (12) 63+4 aya' - 7 azya + 10 aya-2 a ya+8 a, ya --3 aya' + 5 a + 4 aya-- 7 a ya + 11 a, -8 + aya' --3 aya3 - 5 aya2-2 aya-6a, - 2 ya - 2 aya - 4 aya3 - aya+6aya+8 a aura ya+ aya' +6a + ameyara -5 aya-10 aina kA yoga kro|| uttara, 12 ya+8 aya-3 aya+ 14 aya- 10 a ya + 7 a| . (13) a + 7 aya-5ka-- 8 gare, ga-4 ka + a + aya, aya +5ga-2 ya+512 aura 4 kara-4 gha-2 aya+2 ara ina kA yoga kyA hotA hai? uttara, 10 ara+7 aya-5ka+ga+ga-23+52-4 gh| (14) ya+6 yara -8,6 yara-4 ya22, -22+5yara +5 yara, 12ya - 11ra2-7 yara aura 8yara+3+ 10 ya dUna ko jodd'o| uttara, 30 +21 ghara-16 / (15) 4 a- 8 aya+5 aya, 7 a + 4 aya-yA, 8 yaH +5 a-11 aya, aura-13 ayara-7 yaH + a dUna ko nodd'ii| ... uttara, 18 a - 12 aya-4 aya-8ya / (16) yara-3la+4 aka-5kara,4 ka-2ka+7yara-a,7kara +3 +2la+yara, aura 5 aka+4 a-2ka+are dUna kA yoga kyA hai? uttara, yara-la+12 aka+2ka+yara+4 / (17) a- A+8 i, a-5 +2, 7-3aa +aura 4 a-A+6ina kA yoga kyA hotA hai ? uttara, 20 a-18 +13 / . (18) 6ka+4ga-21,3ka-13 ga+9gha, -ka-ga+ gha, aura ka + 5 ga-10 gha ina kA yoga kyA hotA hai ? uttara, ka- ga+8 gh| For Private and Personal Use Only

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saMkalana / (19) 31-2cha+ ja,57-3-jha,-3 -5+, aura ja-4 cha + 11 ina kA yoga kyA hotA hai? uttara -6+1ja / (20) 6a + + 4 a'ka', - 2 aka+3 - 7 aka', 6'ka'- a +6 , - 7 a + ka - 5 a aura ka+ a - 15 aka dana ko jodd'aa| uttara, 8 - 12 a ka + 13 aka-22 aka' + 100 / (21) 2ya -- 4 yara+rayara, 6 ra+5ya'- ', 4 yara -2 yara' + e yara', - 3 ''+ yara-3ra aura 5 -3yara' +ya dana kA yoga kro| uttara, 10 +6 yara+2yara+5yara' - 0 yara+6yara (22) 6a + 11 aka- 10 aka - 16 aga, -6 aka-11 -10 +18 akaga, 6 aga+ 11 akaga - 10 ga-16 aga+ 16 kagara zrIra 19 aga - 7 aga:-16 ka ga + 7 kaga-ga dUna kA yoga kro| utsara, 6a + 5 aka - 21. ajha - 10 - 13 aga +8 akaga - 26 ga- aga + 66 kg-g| (23) 5 + 3 aya- aya' + ya', haya 12 ma+ aya -5 aya', 4 a + 3 aya- 5 ya -- 7 are, aya-5 aya + 11 are - ya aura 8 a +2+3-6a ya ina kA yoga kro| uttara, . (24) artha- 2 +3/+ka+8 la |i, 3 aya- 5 yara - 4 / a+ ka + 7 laV, - 5 a + yA + 5/ a+ ke -2nAra 2aya+yara-11/ +ka-ela/ dUna kA yoga kyA hotA hai ? uttara, aya+3yara'- 01/ + / For Private and Personal Use Only

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dhyavakAsana / (25) 3 (a+ya)-- 1 ka (a+ya) + 7 ga',(a+ya)+Cka (a+ya) +5 gara, 4 (a+ )+2 ka (I+ya) -6ga, (a+ya)2-3 ka (a+ya) -2gara aura (a+ ya)2-ka (a+ya)-6 gabana kA yoga kyA hogA? uttara, 15 (a+ya)-3 ka (I+ya)-2gare / 2 vyabakalana / 23 / rIti / jisa pada meM kisI dUsare pada ko ghaTAnA ho usa pada ko Upara likha ke usa ke nIce usa dUsare pada ko likho aisA ki jisa se sajAtIya padoM ke nIce sajAtIya pada AveM / phira nIce likhe hue pada meM jo 2 kevala pada dhana vA zNa hogA usa kA dyotaka cihna jo dhana ho to RNa aura RNa ho to dhana karo vA vaisA kiyA smjho| phira yoga kI rIti se una kA yoga karo vahI antara hogA / udA0 (1) 13 a (2) - 7 kagara (3) ya-5ra. a . -3kagara 4ya+2 5 -4 kagara 50-71 (1) yahAM akoNa karake 13 a meM jor3a dene meM 5 a antara huaa| (2) yahAM-3 kaga ko dhana karake -- 7 kaga meM jor3a dene se - 4 kagara antara siddha huaa| _* rasa kI yukti yaha the|+shr, aura + ka, rana kA paribhASA se antara + -(+ka) yaha hai| . . . aba tIsarI pratyakSa bAta se zra-(+ka) = -ka-(+ka-ka)= -ka, vA! zAhi + a - ka bana kA antara - -(-ka) ... e +ka-(-ka+ka) = +ka, vA + (+ka). isa se spaSTa hai ki ghaTAne ke paTa ke dhana RNa ciha kA vyatyAsa kara ke usa ko jor3a deo yahI vyavakalana hai| For Private and Personal Use Only

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vyavakalana / (3) yahAM raya-43=5 ya, aura -ra-ra -ra isa liye tya-5ra-(4 ya+2ra) =5ya-ra yaha antara hai| abhyAsa ke liye aura udAharaNa / (1) ya meM 5ya ko aura 13 aya meM-aya ko ghaTA ke zeSa kho| uttara, 4 ya aura 14 aya / (2) 6+ 11 ka isa meM a+8ka isa ko ghaTA dene se zeSa kyA rahegA? uttara, 4 +3k| .(3) 2 a- ya isa ko 5 a-04 isa meM aura - ya+ 15ra isa ko 17 ya+dara isa meM ghaTA deo| uttara, 3 +2 ya aura 26 ya- r| . (8) < aya-8 kala isa meM aya- 11 kala isa ko ghaTA deo| uttara, 2 aya+3 kala' / (5) 15 a +2 kara isa meM 12 a-3 kara isa ko aura -6yara -7yara dUsa ko -3 ya+5yara isa meM ghaTA degro / uttara, 3 a +5 kare aura 3 ya + 12 yara / . (E) 5 ayara + kara isa meM aya2-3 kara +5la isa ko ghaTA dekho| uttara, -3 ayara + 12 kara-5 la / (7) aya-kara+gala isa meM 3 aya-5kara+5gala isa ko ghaTA deo| uttara, 4 aya-4kara+3gala / (8) 5 a-3 ya+5ka-4ga isa meM 3ga-4 ara+ gha-ya isa ko ghaTA deto| - y+5k-7g-8gh| For Private and Personal Use Only

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vyavalana / (e) -6 + 4 yara- 32 isa ko ya2 - 5 yara +7 isa meM ghaTA ke zeSa kho| uttara, 15 ya- yara + 11 / / (10) 2 a + 3 a + 4 aya + 5 ya isa ko 5 a - 7 azya +6ayara-4 yA isa meM ghaTA dene se zeSa kyA rahegA ? ... uttara, 3 a - 10 areya+2 aya- haya / (11) 5 aya+kayara-gara isa meM kyA nor3a dene se yoga 8 aya + 4 kayara +3gara itanA hogA? uttara, 3 aya--3 kayara + 12 gr|| (12) a+ 4 aka --5 aga +22-3 kaga isa meM 3 aka-5 gare +2ka+7 aga- are dUsa ko ghaTAne se zeSa kyA rahegA? uttara, 10 +aka-12 ag-3kg+5gre| (13) -7 ya3-13 ya+2ya-9 isa se 18 yaH-15 yara +7ya +12 yaha kitanA adhika hai? uttara, 25 ya-23+5 +31 / (14) - 5 +3 aya-8 isa ko -8 a - aya + 17 isa meM ghaTA deo| uttara, -3 ara--12 ay+25| (15) 6ya + 4 yara-2yara+5 yara --- " isa meM -2ya + 5 yara-ayara+yA+raisa ko ghaTA deo / uttara, 83 - ya+5yara+4 yA -152 / (16) a + aka+kara-15 isa meM kara-5 kaga - gare- 12 isako ghaTA deo| uttara, a+ ak+5kg+gr-3| (17) 85-7 + 16 ya+3ya-5ya + 13 isa meM- 15+2 ya -3+4 ya+6ya - dusa ko ghaTA dekho| . ubhara, 1725-13 yadeg + 15 +8 ya2-7 ya+28 / For Private and Personal Use Only

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koSTha / (18) a-ka+ya isa meM -- 7 ga+3ra isa ko ghaTA deo| uttara, 7 -6ka+ ga+raya-ra / (19) 0 (ya + ra) - 5 (ya+ra) la-13 la isa meM 6 (ya+ra)2-6 (ya+ra) la+ 12la isa ko ghaTA ke zeSa kho| uttara, (ya+ra)2+3 (ya+ra) la-25 l| (20) 2ya-3kara -RVE+5/ -ya basa ko ya+6 kara +5VE+2V - isa meM ghaTA dene se zeSa kyA rahegA ? utsara, 5ya+ kara+EV 6-3 a-y| saMkalana aura vyavakalama meM koSTha kI vyApti / 24 / jisa kASTha ke Adi meM dhana viha lagA hai vaha dikhalAtA hai ki usa koSTha ke bhItara kA pada jor3A huA hai * / isa liye usa koSTha ko miTA dene se bhI usa bhItara ke pada kA mAla yathAsthita hi rahegA kyoM ki jor3ane ke pada ko apane siha ke sAtha alaga likhane se yoga banatA hai| / aura jisa koSTha ke Adi meM RNa ciha lagA hai vaha yAtita karatA hai ki usa koSTha ke bhItara kA pada ghaTA huA hai| isa liye yadi sUNa ciha se jur3e hue koSTha ko miTA denA ho to usa ke bhItara jitane kevala pada hoM una sabhoM ke dhana RNa cihna ko palaTA deo kyoM ki usa pada ko ghaTA denA hai| * yadi kisI pada ke koSTha ke bhItara aura kitane eka koSTha hoM aura una sabhoM ko ur3A denA ho to utanI bera yaha pahilA karma karane se saba koSTha ur3a jaayeNge| jaisA, . ___ * cauthe prakrama meM dekho| For Private and Personal Use Only

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kosstthH| (1) + (+ka)= +k| (2) ya+ (-1)=y-r| (3) a+ (ka-ga) = +2-- / (4) (ya2-3ya-7)+ (ya+2ya+9). = ya2-3 ya-0+ ya+raya+7=25- (5) a-(+k)-a-k| (6) pa-(-pha) = 4+-ph| (7) a- (ka-ga) = -k+g| (8) (ya+2 yara+512)--(ya-4 yara-212) - 6yara+ / (C) a- (a-ka) + (2 +ka)- (-3ga) = +2 +.g| . (10) 2 a- a- (a.--ka)}= 2 a-a+ (a-ka) = +-ka = 2 -k| abhyAsa ke liye aura udAharaNa / (1) (a-ka) + (ka-ga)= a-g| (2) (a+2 aka - 4 kara) + (3 ara-5 aka+4 ka) =4 para -3 ak| (3) 4 ya-5+2+ (3+71-5la) =+21-3l| (4) (+2ra)-(ya-52) = 71 / (5). (a+-ka)-(ka+ga)+ (ga+gha)-(gha+ca)-a-cA . (6) (3+3yara+ra)-(ya-5yara+22) -- yr-r| (7) 4 aMka-1 (a+2 aka+ka)- (a-2 aka+kara)} 80 / (8) 5ya +2 -- (3ya-yA)-13-7+ (2yara+yara) -2 ya-yar+R (C) a + 122- (5 aka-ka')} - {e.ara- (2 aka+kara)} = 3 -3 a + 10 kr| (10) 4ya + 5yara-(35+2yara - (62-5)}) - 7 3yr-5| For Private and Personal Use Only

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22 koSTha / 25 / anumAna 1 / dhana cihna se jur3e hue koSTha meM kisI pada ko likhane se usa kA mola bigar3atA nahIM / aura RNa cihna se jur3e hue koSTha meM kisI pada ko likhane se usa pada meM jo kevala pada hoMge una sabhoM ke dhana RNa cihna ko palaTa dene se usa pada kA mola nahIM bigar3atA / jaisA, a + zka- 3ga + 5gha 1 Acharya Shri Kailassagarsuri Gyanmandir + (zka - 3ga + 5gha) =a+zka + (-- 3ga + 5gha) / aura 2-3ka- 5 +gha 2 - ( 3 ka + 5ga -gha) = 2-3ka (5ga -gha) 1 26 / anumAna 2 / koSTha kA dhana RNa cihna palaTa ke jo usa ke bhItara ke saba kevala padoM ke dhana RNa cihna ko bhI palaTa diyA jAye to usa koSThaviziSTa pada kA mola bigar3atA nahIM / jaisA, a + (ka-ga) ra = - ( - ka + ga ) ra, tha - a (2ka - 5ra) = + (-2ka + 5ra), - 4 (-2ka +3ga) = 4 ( + 2ka - 3ga) / jina sajAtIya padoM ke vArayotaka akSarAtmaka haiM una kA saMkalana / 27 / jaba sajAtIya saMkalanIya padoM ke cihna sajAtIya haiM taba yadi vArayotaka kevala pada hoM to una vArayotakoM ko dhana cihna ke sAtha koSTha meM alaga 2 likho / aura yadi vArayotaka saMyukta pada hoM to una kA yogarIti se yoga karake usa ko koSTha meM likhA 'phira usa koSTha ke pIche sajAtIya pada likha ke Adi meM yotaka cihna jo dhana vA RNa hogA so likha deo / udA0 (1) nAtha - zra 3 kaya- ghara (2) ( ta + 3tha) a - (4pa - 3pha) tha (3ta- 5tha) - * (3pa +5pha) ya 4 caya - 5 kara (zta + 9tha) - ( pa - 7pha) ya (+3+4ca) ya - (2ga+gha+5cha) ra / ( 6 ta + 7tha) - ( pa - 5pha) ya / For Private and Personal Use Only

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koSTha / 28 / jaba sajAtIya saMkalanIya padoM ke cihna vijAtIya haiM taba yadi vAradyotaka kevala-pada hoM to una kevala padoM ko apane 2 dhana zNa cihna ke sAtha eka koSTha meM likha ke usa koSTha ke Adi meM dhana cihna likho aura usa koSTha ke pIche sajAtIya pada likha deo| aura yadi vAradyotaka saMyukta pada hoM to vahAM jitane saMkalanIya pada RNa cihna se jur3e hoMge una ko (26) ve prakrama ke anusAra dhana cihna se yukta karo vA jitane dhana ciha se yukta hoMge unako (2) ke prakrama se RNa ciha se yukta karo yo saMkalanIya padoM ke cihoM ko sajAtIya kara ke (27) ve prakrama se una kA yoga kro| udA0 (1) 3 ayaM +3 para (2). (3-2ka) ra-(ca+jana kaya -2 phara (2-5kara+(31- jAla . -5 gaya -4 bara (a+4kara-(eca+2na)la (3 +ka-5gaya+ (p-2ph-4br|( +kAra-(7ca+raja)la jina sajAtIya do padoM ke vArayotaka atarAtmaka haiM una kA vyavakalana / 29 / rIti / ghaTAne ke pada kA dhana RNa cihna palaTA ke avyatrahita prakramoM se yoga kro| ___ udA0 (1) aya-kala .. (2) (a- pa) ya+ ( ga+5pha) ra gaya+ghala (2+3pa)ya- (4ga- pha) ra (a-ga) ya- (ka+gha) l| (5 -45) ya+ (5ga+4 pha)ra / - abhyAsa ke liye aura udAharaNa / / (1) agha-ghara+2jala,kaya-3cara-jhala aura gaya-4kara +12la ina kA yoga kyA hotA hai ? uttara, ( + ka+ ga) ya-(gha+3 +4cha) ra + (2na- jha+12)la / . For Private and Personal Use Only

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Brg! (2) 3patha + 5 phara, 0 ba - 4 mara, aura - da + barana kA yoga bhAro / (38+0ba - 8) ya + (5-4ma+ba) ra / uttara (3) zratha - kara + gala - ghatra, katha - gara - ghana + vaya, gaya- ghara + cala + chatra, ghaya - cara - chala - nava dUna cAra padoM kA yoga kyA hotA hai ? uttara, ( + ka + ga + gha) ya - ( ka + ga +gha + ca) ra + (gagha+ca-cha ) la - (gha-ca-cha+na) va / Acharya Shri Kailassagarsuri Gyanmandir (4) 7 aya - 5 katha + 2ga - 2 kapa + 3 gaya-gha -5 ghaghara - 0 + 17 aura 4 ga + 2 paya+pha ina kA yoga kyA hogA ? + 2 gha +17+pha / uttara (9 azka + 4 - 5gha) ya e - (5- 3 +0-25) vya (4) Ma* + Bar + ne2, auc +El2 + Aq2 arc - ac2 + qu2 - dayara dana ko jor3o / - uttara (a + a+tha) yaM *+ (ka+ca- da) ghara + ( ga + cha - ta) ra ! - (6) (a + ka -ga) ya + (ta+tha + da) ra ( ka + ga) ya + (ta+da) ra ( + + ga ya + (tatha + da) ra, aura (a + ka + ga) ya + (-ta +tha + dva) ra ina kA yoga kahA / (2+2ka + 2ga) ya + (2+2tha + da) 1 / uttara, 1 (7) (a + 3ka) ya + (4 - 5 ) yara (3 - 0 ga ) Rs9, (2na - ka) ya - - - ( + 4 ka) ghara (a + 5ga) ra e, (5+2) + (3+5) yara. * (2 a + ga) 1deg aura (+8 ka) yara (ka) yara-2ra ina kA www yoga kyA hotA hai ? uttara, (9+8ka) ya + (5 - 3 ka) ghara - ( - ) ra / (e) (a-ka+ga) - ( ta +tha - da ) thara + (20* +pha) Rs9, (ka-ga -gha) ya + (gha+ da -dha) yara - (4pa1-3pha) ra (gha- ca+) ya* + ( + + na) para For Private and Personal Use Only

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koSTha / -- ( -pha), ghora (ca-cha+ja) ya+(ta-38-nAna + (552-6pha) ra dana kA yoga kyA hai? utsara, (a+ja) ya+ (2-pr-phr| (e) (2 ya + 3 ra) ya' + (5ra-7 la) yara- (5 la-ya),(ya-5)ya -(4+3la) yara + (3 la + ya)ra, (3ya-ra) ya-(ra-11 la) yara / - (la-2 ya) aura (5 ya+ra) yara- (ra+5la) yara+ (2-3ya) ra ina kA yoga kyA hotA hai ? uttara, (113-2ra) ya-(2+4la) yr-(l-y)| (10) (a+2 aka) ya - (ka+5 gara+ (ga+4 gagha)la, (3 aka-2 akara) ya+ (5 karega+3gara) ra- (4 gagha-5gavara) la paura (2 akara-kara) ya- (4 kagara- 5 ga) ra (2 gagha+ 7 gha)la ina kA yoga kyA hotA hai? uttara, (a+ 5 ka-ka) ya- (ka+kaga-5ga)ra + (ga+ 7 gadha+ gha) la / (31) (3 a-2 aka) ya:- (4 ca caka) yara + (ta-5 matha) ghara -(25+3 papha), (3 cacha - cha) yara-(6 tatha-31) yara + (75-8 papha) ra + (aka-5gara) ya, - (2 +9 thara) yara' -(4 pa + phara) ra + (7 aka+gara) ya - (2 ca+ pacha) yara aura (papha - 5 pha) ra3 -- (4 12 - 1) yara' + (02-53) yara -(2 a + 72) yA ina kA yoga kro| utsara, (a+6 aka-3ga) - (11 ca+7 cacha- cha) yAra - (11 tatha+ 10 thara) yara + (pa2-2 papha-6 phraar| .. (12) 7 tana- 4 paya + 3 nara isa meM 2 ya+3 phaya-5mara isa ko ghaTA deo| . utsara, (72-25) -(4+3pha) ya+ (3 +5m)| For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 26 koSTa (13) kaya- ghara - chala + 12 isa ko atha - gara + cala +9 isa meM ghaTA dene se zeSa kyA rahegA ? uttara, - 4 baya www.kobatirth.org + rabha / (ka) ya + (gha-ga) (14) 4 - 5 caya' + 9 taya + 8 bha isa meM bha isa ko ghaTA deo / - uttara Acharya Shri Kailassagarsuri Gyanmandir (47 pa ) - (5 ca+pha) + (lata +8 ba) ya uttara, + (8 $?2 + C3) T2 | + (ca + cha) la e - 5 / paya3 + 8 phaya -- (15) 2 kaya e + 3 ka yara - 42 isa kA 50-70 Rpara + kara isa meM ghaTA deo / (52-2 ka) ghare - (7 ka + 3 ka2) para (16) (35 ka) atha ( + 2ka) a + (2 + pha) para 2 + ( uttara - ( pa - pha) yara + (- 3 ) 13 isa meM 2ka) ra isa ko ghaTA deo / (2-1ka) ya - 3 payara + (2ka - 3) 13 / - (17) (ka) tara - ( pa + 2pha) tatha + phatha isa meM ( ka + 2ga) ta + (3pa - pha) tatha + (pha eba 2) tha isa ko ghaTA ke zeSa kaho / - uttara, (a - 2 - 2ga) ta e (4 pa + pha) tatha + ba etha' / (18) ( pa - 3 papha + pha) atha - (na e- 2nama - mara) kara isa meM (pa e - 4 papha 4 pha e) Aya + (na e- nama + ma ) kara isa ko ghaTA deo / (papha + 5phara) ya - (2na - 3 nama) kara uttara, (19) pa - 2pha + 3 ba isa ko (a + 1) pa + (kaM - 2) pha - ( ga - 3) ba isa meM ghaTA dene se zeSa kyA rahegA ? uttara, Apa + kapha gaba / (20) (3 kare - 5 kama + ga ) ghare - (5 ga - 7 gha) ra + (gha e + 3 ghava + 5 ca 1 ) 2 - 83 TUsa ko ( +2 a + 32) gha For Private and Personal Use Only

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. 27 guNana / + (ka-4 kaga+gara) yar-(ga-5gagha+3ghara) yara + (gha2-3cara)3 isa meM ghaTA deo| . uttara, (a+ ka+5kaga-gara) ya+ (kara-4kaga+gare-71)gara - (ga-5gagha+4 +2 ghaca+5cara) yara + (7 gha+5cara) / 3 guNana / .30 rIti / guNya ke eka 2 kevala pada ko guNaka ke eka 2 kevala pada se guNa dene se jo alaga 2 guNanaphala hoMge una kA yoga karo vahI abhISTa guNanaphala hai / aba yahAM jo do 2 kevala padoM kA gaNana kI par3atA hai usa meM yadi una kevala pada rUpa gaNya gaNakoM ke siMha sanAtIya hoM to una kA guNanaphala dhana hotA hai / aura vijA. tIya hoM to kRNa hotA hai / aura guNya guNoM ke saMkhyAtmaka vArayotakoM kA guNanaphala una ke guNanaphala kA saMkhyAtmaka vAradyotaka hai| aura guNya aura guNaka ina meM jo 2 atara hoMge ve hI saba guNanaphala meM varNamAlA ke krama se likho| ____ * isa kI satyatA isa bhAMti spaSTa hotI hai| soco kI +ka isa ko ga+gha isa se guNanA hai| to ina kA guNanaphala paribhASA se (a+ ka) (ga+ gha) yoM hogaa| . aba yogarIti se jAnA jAtA hai ki (+ka) (ga+ gha) yaha ga (+ka) aura gha (+ka) ina kA yoga hai aura bhI ga (zra+ka) = aga+ kaga aura gha (+ka) = agha+ kagha / .( +ka) (ga+gha) = ga (+ka)+gha (+ka) = aga+kaga + agha+ kagha isa meM zra+ka isa kA eka eka kevala pada ga+gha isa ke eka eka kevala pada se guNA gayA hai| isa se ukta rIti kI satyatA spaSTa prakAzita hotI hai| + isa kI upatti yaha hai / 4-ka aura ga-gha ina kA guNanaphala = (zra-ka) (ga-gha) = ga (zra-ka)- gha (zra - ka) = (aga-kaga) - (agha-kagha) = aga-kaga-agha+kagha isa meM zra-ka isa kA eka eka pada ga-gha isa ke eka eka pada se-avazya guNA gayA hai| ho aisA (+) x (+ ga) = + aga, (+ a) x (-gha)= - agha, (-ka) x (+ ga) = -- kaga aura (- ka) 4 (-gha) = + kagha / yaha upapatra hushraa| For Private and Personal Use Only

Page #45
nyAsa / -5ka muNana / ___ aura bhI jo kisI eka pada kA ghAta guNya meM ho aura usI pada kA ghAta guNaka meM bhI rahe to usI pada kA ghAta guNanaphala meM bhI hogaa| paraMtu usa ghAta kA ghAtamApaka guNya guNakoM meM jo ghAta haiM una ke ghAtamApakoM ke yoga ke samAna hogaa| isa kI yukti sAtaveM prakrama se prakAzita hotI hai| jaisA, aya43 aya=6 aaaaayayaya =6a ya / arthAt aya43 aya-6+2435+2= 6azya / udA0 (1) 5 azya isa ko 3 kaya isa se guNa deo| nyAsa / aya 3kaya guNaka 15 akayara guNanaphala / udA. (2) -5aka isa ko - aya sa. se guNa deo| guNya guNaka 5akaya gunnnphl| udA0 (3) yara isa ko -2 ala isa se guNa deo| nyAsa / hayara guNaka .. -18 ayarala guNanaphala / udA0 (4) 5 aya + 4 kara- 3 gala isa kora arala isa se guNa de / nyaas| atha+4kara-3gala guNya guNaka 10 ayarala +8 akarala-6 agarala', guNanaphala / udA0 (5) a-3 aka isa ko a-2ka isa se guNa deo| yahAM bAI ora se guNane ko prArambha karo aura krama se guNAka ke eka 2 pada se guNya ko guNane se jo guNanaphala utpatra hoMge. una meM - ya - - For Private and Personal Use Only

Page #46
guNana / ' pahile guNanaphala ke dUsare kevana pada ke nIce se dUsarA guNanaphala likho phira usa ke bhI dUsare kevana pada ke nIce se tIsarA guNanaphanna likhA isI bhAMti hara eka gaNanaphala usa ke pahile gaNanaphala ke dUsare kevala pada ke nIce se likhA yo likhane se prAyaH sajAtIya padoM ke nIce sajAtIya pada pAte haiM usa se yoga karane meM bahuta zrama nahIM hote| nyaas| a2-3 praka a-2 ka a-3 aka = (ara-3 aka) a __ -2 aka+6 akare = (a2-3 aka) (-2ka) a-5 aka+6 akare - (2-3 aka)4 (-2ka) / udA0 (6) yA+ghara+yA+ yara- yara + ya++yA+yara -ya -ya -ya -yara +AT+Ari+yara + ya+yA+yA+ra udA0 (7) +2 +3ga a-2ka+5sa a+2 aka+3 aga -2 ka-4 -6kaga +5 aga+10 kaga+ 15 gare ara-4ka+aga+kaga+ 55 gare udA0 (8) aya + gaya-ca kayara-ghaya-cha abhaya + kagaya - kacayara -asya-gadhaya+ghacaya -ajaya-gachaya+cacha akraya + (kaga-agha) ya3-(kaca+gagha+acha) ya+(ca-gacha) ya+caka - - - - For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 30 udA0 (9) a + a+9 - + 1 * +a+a www.kobatirth.org guNana / * are-are-a ++9 4 + a + 9 udA0 (10) + +9 a - 1 a + a + a - * - - 1 (2) 7yarala isa ko 4 3kara isa se guNa deo / uttara, - 1 abhyAsa ke liye aura udAharaNa / (1) 3 ra 5 prakare ina kA 5 ya2ra3, 4 athara ina kA aura 4 akaga ina kA alaga 2 guNanaphala kaho ? :- 0 kala, uttara 15 karaiyara - 20 yara" aura 28 a ka gala / ra la Acharya Shri Kailassagarsuri Gyanmandir isa se aura 28 yara"la* aura - 24 kaya ha / (3) 6(+) isa ko - 2 ( a + ya) isa se aura - 5 ( - ) 2 isa ko - 3 (6- 1) 2 isa se guNa deo / uttara - 12 (a + ya) 3 aura 153 (ya- 1) * / isa ko For Private and Personal Use Only (4) 3+58, 7ka ina kA 58-08 - 4ra ina kA aura -- 3 gha era - 6 yara, - yarala ina kA guNanaphala kyA hogA ? uttara 21 ka + 35 kara, - 20 ghara + 2662 aura 3 + 6yarala |

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guNana / (5) 4 aya-5 kaya + ga isa ko 6 aya isa se aura 5 yara / -7yara-4 ya isa ko-8 ayara isa se guNa deo / uttara, 24 aya-30 akaya+ 42 agaya aura -40 ayara3 +56 aya +32 ayr| . (6) 5 +7ka, 3+4 kaina kA aura 3 ya-rala, eyara +6rala ina kA guNanaphala kyA hogA? uttara, 15 a+41 aka + 28 kare aura 27 3 -45 yarala - 42 lre| (7) 4 aya +5kara, 4 aya-5karadana kA aura a+ aka+kara, ara-aka+ kara ina kA guNanaphala kyA hogA? - uttara, 16 aya2-25ka aura a + aka+ ka / (8) 3 ya-5 yara +7 isa ko 2 ya--0ra isa se aura 5 +3 aka-ka isa ko 2 -4 aka + Page #49
Shri Mahavir Jain Aradhana Kendra 32 (12) ya' + ya' + ya + se aura +6+ se guNA deo / uttara, www.kobatirth.org ya - 6-6 + 1 ora - 18 a + 81 ka" / (14) ya* + 5 yara + 10 guNana | + +9 isa ko yara-yara-ya + 1 isa kara isa ko 6 a + aka dUsa (13) * +61 + 18 + 1 isa ko are - 6 se aura + 3 + 4+3+1 isa ko ya - 3 +9 isa se guNa uttara, - ya e - 3 ya era + 3 yara' - uttara - 2 ghara - 1 / - deo / a + 312 - 1 aura -- +91 uttara ya + 34 + 10 ra 3 + 5 ghara + ra' isa ko isa se guNa dene se guNanaphala kyA hogA ? a2 + ? adegC ~ ? qEURr2 -- EUR aar3 + PS a3c2 + ? a2c(c) Acharya Shri Kailassagarsuri Gyanmandir + uu / (94) a*+8a2+ Ca2 + 8 0 + 9 CA II Qdeg - 802 + ca2 - - 4ya + 1 isa se guNA deo / (10) 4 + 3 ka + 6 ka + 10 are - 3 a eka + 3 akara - kare isa se guNa ' - 21 a ka + 35 --- uttara, + 18 - 1 isa + 481 - 36 (16) 1+4ya + 9 + 1683 + 25 ya isa ko 1 - 38 + 3 ba - ya isa se muga deo / uttara, 1 + ya - 36 ya' + 5986 - 25ya' / deo / + 15 ka isa ko - 15 ka / For Private and Personal Use Only (18) gha+zya * +2+2+2+' isa ko ya' - 2 praya' + 2zraya - 2' + 2'ya- are isa se guNa deo / uttara, ya10 - 10 /

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Shri Mahavir Jain Aradhana Kendra ka + 2 uttara, - 2 + 6 kaga + 4 kagare + ga www.kobatirth.org (19) a + 2 2 -2 ka - 2 ga +kara + 2 kaga + ga ina kA guNanaphala kyA hogA ? ka- 4 prakaga 2 a + ka* + 4 kareMga / guNana | +kara + 2 kaga + ga aura Acharya Shri Kailassagarsuri Gyanmandir - (20) ya e + 4 yara + 6 yala +6+17 rana + 18 la isa ko ya - 4 yara - 6 yala + 8 - 17 rala + 18la isa se guNa deo 1 uttara, ya - 48yarala - 136 yarala - 204 yarala + 64 Rs* - ra ela' + 324 la* / (21) ya + 3ara isa ko 20 + 5kara isa se aura ya + 2 aya + 3ka isa ko ya- -5 ga isa se gugA deo uttara, 2 * + (6 a + 5 ka) ghara + 15 akara aura ya 1 + (2 - 5 ga ) ghara - (10 ga - 3 ka ya - 15 kaga * - (22) ya + taya + thaya + da isa ko yara - dhaya na isa se guNA deo / uttara, ya' + (ta - dha) ya* - (tadha - tha + na) ya - (ta e - 3 ta + 3) ya - ta e + 3ta / (tana + thadha - da) ya e - (thana + dadha) ya - dana / (23) ya* + tayare + (ta - 1 ) ya + (ta - 2) ya + ta - 3 isa ko ya-ta isa se guNa deo / uttara, ya - (tara - ta +1) ya e - (ta e - 2ta +2) ya 33 (24) a + a + 3) ya + (+1) ya e + (+3) ya + ( + 2) ya* + a + 3) ya' isa ko 1 - 26 + yara isa se guNa deo / uttara a- (a - 3) ya - (a + 3) ya + (+3) ya e (25) ya* + (+1) yaza + (2 + 1) ya eRs2 + (3a + 1) yara + (4 a + 1) ra ' isa ko yara - 2 ghara + ra e isa se guNa deo / uttara ya + (- 1) yaza - (5 +1) yara' + (8 For Private and Personal Use Only + 1) Rs* /

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4 guNana / (26) taya- (rata+tha) yara (3 ta + 3tha) yara-(4+6) rasa ko ya+3 +3 yara' +ra isa se guNa deo| uttaraM, taya + (ta-tha) yara - (5 ta + 105) yAra' - (ta+15 tha) yara' - (4+6yr| . . (21) ya+1, ya-2 aura ya+3 dUna kA guNanaphala kyA hogA? uttara, y+2yr-53-6| . (28) +3ka, +ka, a-ka aura a-3 ka, ina kA guNanaphala kyA hogA? uttara, a - 10 aka+ka' / (28) ya+ra, ya-ra aura ya+ra ina kA guNanaphala kyA hogA ? uttara, ya-ra / .. (30) a+ka, ga+gha, aura ca+ ka ina kA guNanaphala kyA hogA? uttara, agaca + kagaca + aghaca + kaghaca + agacha + kagacha + aghaka + kaghacha / (31) pra+ka, a+ga aura a+gha ina kA guNanaphala kyA hai? uttara, a + (ka+ ga + gha) a + (kaga + kagha+ gagha) + kagagha / (32) ya-a, ya-ka, ya-ga aura ya-ghaina kA gaNanaphala kho| uttara, ya - (+ka+ga+gha) yaH + (aka+aga+ agha+ kaga+kagha+gagha) ghara -(akaga+ akagha+ agagha+kagagha) ya + akagagha / (33) a-ka, a-ga aura ka-ga ina kA guNanaphala kho| uttara, aka-aga-aka + aga+kaga-kagara / (34) yaha siddha karo ki a (ka-ga)-ka (a-ga)+ ga (a-ka) = / For Private and Personal Use Only

Page #52
bhaaghaar| (35) yaha siddha karo ki (a+kara) (a-ka) + (ara-kara) (a+ ka) +2 ka = 2 / ____ (36) (ya + a) (ya + ka)- (ya+a) (ya-ka) + (ya- a) (ya+ka) -(ya-a) (ya- ka) = 4 kaya isa ko siddha karanA cAhiye / (37) yaha siddha karo ki are (ka-ga)-kara (pra-ga)+ga (pra-ka)= (a-ka) (a-ga) (k-g)| (38) yaha siddha karo ki (a-ka) ( +ga) (ka+ga)-(a-ga) ( +ka) (ka+ga) + (ka-ga) ( +ka) ( +ga)=(a-ka) (a-ga) (k-g)| ___(39) yaha siddha karo ki (a-ka) (ya+a+ga) (ya+ka+ga)- (a-ga)(ya+a+ka) (ya+ka+ga) + (ka-ga) (ya+ +ka) (ya+a+ga) = (pra-ka) (a-ga) (k-g)| (40) yaha siddha karo ki are (ka-ga) (ya+ka) (ya+ga)-kara (a-ga) (ya+a) (ya+ga) +ga (a-ka) (ya+a) (ya+ka) = yaH (a-ka) (a-ga) (k-g)| 4 bhaaghaar| 31 / bhAjya aura bhAjaka dana ke kevalaparatva aura saMyaktapadatva se bhAgahAra ke aneka prakAra hote haiN| pahilA prakAra / jaba bhAjya aura bhAjaka donoM kevalapada haiN| (1) rIti / bhivADarIti se bhAjya bhAjakoM ko likho aura saMbhava ho to una ke aDAtmaka vAradyotako meM apavarta karo phira yadi kisI prasara kA koI ghAta bhAjya meM rahe aura vahI ghAta bhAjaka meM bhI rahe to usa ko donoM meM se cheka deo aura jo kisI eka atara kA ghAta bhAjya For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 36 bhAgahAra / meM ho aura usa se bhitra usI antara kA ghAta bhAnaka meM bhI ho to una dono ghAtoM ko baiMka ke adhika ghAta jisa sthAna meM hogA vahAM usI akSara kA vaha ghAta likha denA jisa kA ghAtamApaka una cheke hue do ghAtoM ke ghAtamApakoM ke antara ke samAna ho * / www.kobatirth.org bhAjya bhAjakoM ke cihna sajAtIya hoM to bhajanaphala dhana hotA hai aura vijAtIya hoM to RNa hotA hai / udA0 (1) 12yasa isa meM 3yara isa kA bhAga deo / nyAsa | 12yara sa 38 udA0 (2) - 15 ka isa meM - kara isa kA aura 20 kama isa meM - 5ka isa kA bhAga deo / nyAsa / 15 ka 52 4 aga / 3 ka 5 ka 9 akara dUsarA prakAra | jaba bhAjya saMyuktapada aura bhAjaka kevalapada hai / (2) rIti / pahile prakAra se bhAjya ke pratyeka kevalapadoM meM bhAjaka kA bhAga deo / - 4ra sa / + isa kI yukti yaha hai udA0 (1) 12 ka- 1816 kare isa meM 6 ka isa kA bhAga deo / Acharya Shri Kailassagarsuri Gyanmandir * isa meM jo bhajanaphala jAnane ke liye rIti kahI hai yaha saba bhAjya bhAjakoM meM apavarta karane kA prakAra hai / aura bhAjya bhAjakoM meM apavarta karane se bhajanaphala meM antara nahIM par3atA isa kI yukti sAtavIM pratakSa bAta se turanta mana meM baitthegii| + aka + ka aka ... aura - zraka : (a) x + ka) aura : ( a ) x ( - ka) = + aka .. : ( + a ) x + ka) = + aka .. 20 kama zra + aka - pra = + ka, aura For Private and Personal Use Only aka + ka G - ka yaha upapatra huzrA 1 = + ka

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bhaaghaar| nyaas| 12 aMka-18 akamare -- 16 akareM - --- =2 a.-3kagaH 6aka -akre| tIsarA prakAra / jaba bhAjya aura bhAjaka dono saMyukta pada vA kevala bhAjaka hI saMyukta pada hai| (3) rIti / yahAM bhAjya bhAjakoM ko vyakta gaNita kI rIti se isa bhAMti likho ki una donoM meM kisI eka guNarUpa atara ke ghAtoM ke ghAtamApaka uttarottara ghaTate hue vA bar3hate hue rheN| yoM likhane se bhAjya bhAjakoM meM jina guNarUpa akSaroM ke ghAtoM ke ghAtamApaka uttarottara ghaTate hue vA bar3hate hue hoMge una akSaroM ko mukhya akSara kaho / aba bhAjaka ke pahile kevalapada kA bhAjya ke pahile kevalapada meM bhAga dene se jo phala Ane ke yogya ho usa ko bhajanaphala ke sthAnapara likha ke usa se samaya bhAnaka ko guNa ke usa guNanaphala ko bhAjya meM ghaTA deo phira jo zeSa bace usa ko bhAjya mAna ke phira parvavata vidhi kro| aisA vAraMvAra taba taka karo jaba taka zeSa kucha na bace vA jaba taka bhAjaka ke pahile pada kA bhAjya ke pahile pada meM bhAga dene se jo phala Ane ke yogya ho usa ke cheda sthAna meM koI mukhya atara Ave / bhAnaka kA bhAjya meM bhAga dene se jo zeSa kucha na rahe to bhajana' phala ke sthAnapara jitane pada pAe hoMge vaha pUrA bhajanaphala hai| aura jo kacha zeSa rahA ho to usa ko aura bhAjaka ko krama se aMza aura cheda samajha ke una se jo eka bhitra para banegA usa ko bhajanaphala ke sthAna para jo pada haiM una ke pIche likha deno yoM karane se bhajanaphala ke sthAna para jo banegA so pUrA bhananaphala hai| + 19 aka+15 kare isa meM 3 a+5ka isa kA udA0 (1) 6 bhAga deo| For Private and Personal Use Only

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+3ka bhAgahAra / nyAsa / 3+5ka ) 6 +18 aka+15 kare ( 2 61+10 praka eka+15kara aka+15kara + 126 ka isa meM a+5 aka + 7 kara udA. (2) a + 55 a isa kA bhAga deyo| nyaas| a+5aka+kara +55a + 126 (1-5aka+18 kara +5 aka + 7 akara -5 -7 aka+55 akara -5 -25 akara-35 akara 18 akara+90 aka 126 18 akara+90 aka+12ka" udA0 (3) a+3ya usa meM a+ya isa kA bhAga deo| nyaas| + / +ya a+ya) a+3ya (a- aya+ a+aya -azya+312 -aya-ayara aya+3 ayana yo zya isa kA bhAga udA. (8) ya+taya+daya+7 isa meM ya- dekho| For Private and Personal Use Only

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bhAgahAra / nyaas| ya-a)ya+taya+daya + na(4+(a+ta)ya+ (a+ata+da) a+ta +da +na, ya-ayara + (a+ta) ya+daya (a+ta) ya2- (a+ta ya (a+ta +da) ya+na (a+ta+da)ya-(a+ ta+daya) a+ta +da +na / yahAM bhAjya aura zeSa ekarUpa haiM kintu bhAjya meM jahAM ya aMtara hai tahAM zeSa meM a akSara itanA hi vizeSa hai| udA0 (5) yare - yAra ...6 ayara - 10 yara + 32 ayara - 12 areya -dara-2 ara+21ara-5 are isa meM ya-4+ isa kA bhAga dekho| nyaas| bhAjaka ya-4 ra + a) bhAjya (labdhi ya+ghara-7 aya+ +ara-5 ara ba-yara-ayara-10para+2ayara-12 aya-dara-2para+29 ara-5 ya-4yara+ zrayaH +ghara-7zraya -10yara+32yara +yara -12para+ ayara. -7aya+2yara 26prayara-12 praya -7zraya +28ayara- 7 azya + 2yara+ ayara- 5aya- +2yara ~E + prayara- 5 aya + apara -2 ara' +2 para -4para+21 ara -4 ara+ zrara --- - 5 aya - 5zraya + 20 ara-5zro +20ara-5 athavA jaise isa udAharaNa meM tIna akSara haiM aise nahAM bhAjya aura bhAnaka meM tIna vA cAra akSara hoM vahAM una attaroM meM kisI eka asara For Private and Personal Use Only

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bhAgahAra / ko mukhya mAna ke bhAjya aura bhAjaka meM jo usa mukhya akSara ke aura usa ke ghAtoM ke aneka sajAtIya pada hoMge una ko (27) vA (28) ve prakrama ke anusAra ikaTThA karake likho| taba vaise bhAjya meM vaise bhAjaka kA bhAgahAra ke isI tIsare prakAra ke anusAra bhAga deo| jaisaa| isI udAharaNa meM utarIti se bhAjya aura bhAjaka ko banA ke nyaas| bhAjaka ya-(4ra-a)) bhAjya (labdhiya + (3ra-7 a) ya+ (2 + ara --5 ) yA - (ra+6) yara- (10-32 ara+12 ara) ya-( +2 ara-21 ara+5) ya- (4ra- a) yA +(3ra-7) ya- (10 -32 ara+12 a) ya +(32-7 a) ya- (122-31 ara+ 7 ara) ya + (22+ ara-5 ara) ya-(82+2 ara' -21 ara+5zra) + (2 + para - 5 a) ya - ( + 2 ara'.- 21 ara+ 5 zra) isa prakAra se yahAM labdhi ya+ (32-7 a) ya + (RT +ara-5 ara) yaha AI hai isa meM koSTha ko miTA dene se ya+3yara-aya+2+ara-5a yahI abhISTa labdhi hai| udA0 (6) 1 isa meM 1- ya isa kA bhAga deo| myAsa / 1-ya) 1 (1+ya+ya+ya+ ityAdi / ya-yara yA-ya ya--24 ya ityaadi| For Private and Personal Use Only

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bhAgahAra / yahAM ya kA ghAta zeSa rahatA jAtA hai aura vaha zeSa nauthA hogA vahI saMkhyA vahAM ya ke ghAta ke ghAtamApaka kI rahatI hai| aura yahAM bhajanaphala ke sthAna para ananta kevalapada Ate haiN| isa liye yahAM bhAgahAra ko cAhe taba taka baDhAte haiM aura bhI yahAM ke bhananaphala ko ananta zreDhI kahate haiM aura usa ko =1+ya+yA+ya + ......yoM likhate haiN| abhyAsa ke liye aura, udAharaNa / (1) 15 akaga dasa meM 3 aka isa kA aura - 72+14 yara --21yara' isa meM -7yara isa kA bhAga deho| uttara, 5 agara aura y-2yr+3yr| . (2) 10 yara isa meM - 2yara isa kA aura -28 anya isa meM - aya isa kA bhAga deo| uttara, -5yara aura 4 ayaH / (3) 15 (a+ka) yadeg isa meM 5(a+ka) ya isa kA aura -5 aMka (ya-ra) isa meM -5ka (ya - ra) isa kA bhAga deo| uttara, 3(a+ka) aura ara (ya-ra)3 // __(8) 35 akara-21 arakara + 14 aka isa meM 7 akara isa kA aura -32yara +20 yara -16 ya +28 yA isa meM -4yara isa kA bhAga denaa| uttara, 5ara-3 aka+2kara aura pyA-53+4 yr-73| (5) 6ara-aka-35 kara isa meM 3+7ka isa kA aura 5652-5 aya+36 are isa meM 75-4 a isa kA bhAga deo| uttara, 2-5ka aura vy-6a| (6) 12 ya+23 yara+ isa meM 8 ya+ra dUsa kA aura 15ya -- 23 ya-28 yA isa meM 3yara-7 yara isa kA bhAga deo| . uttara, 3+5ra aura 5ya+4 yA / For Private and Personal Use Only

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bhAgahAra / (7) ara-kara isa meM pra-ka isa kA aura ya+ra isa meM ya+ra isa kA bhAga deo| uttara, a+ka aura y-yr+r| () 203+13 aka-29 akara+6 kara isa meM 4 a-3 ka isa kA aura 24 ya+25 ya +rayara + 45ra isa meM 3ya+5ra dUsa kA bhAga deyo| uttara, 5 +7 aka-2kara aura ya-5 yara +hr| () ya-ra isa meM ya-ra isa kA aura ya-16 yA +6 isa meM ya+5+3 isa kA bhAga deo|| uttara, ya+yara+yara +ra aura ya-5 +3 / (10) ya-3ya + ya+552-20 ya+28 isa meM ya2-4 isa kA aura ya+ya+1 dUsa meM ya-3+6 isa kA bhAga deo| uttara, ya-3 ya+5ya-7 aura ya2+3ya+ / (11) 30 +azya-31 are+19 aya3-55deg isa meM 5ara-3 aya+yara isa kA aura 6ya +39 ya +zya + 100 yara +132 isa meM 3ya+yara + 132 isa kA bhAga deo| utsara, 6 +4 aya-5ya aura ry+7yr+r| (12) a+64 ka isameM a+4 aka+kara dUsa kA aura 89ya+4a isa maiM haya2-6aya+2a isa kA bhAga degaa| uttara, are-4 aka+8kara aura ya+6aya+2 are / (13) 62-2 ya-31 ya+332-7 isa meM 33+5ya-7 dUsa kA pAra 3ya-11 ya +33yara-2" isa meM ya2-5yara+9 dasa kA bhAga deo| uttara, zya-4ya+1 aura 3ya+4 yara-ra / (14) a+ + + +1 isa meM a+ + + +1 isa kA aura ya-ra isa meM yara- isa kA bhAga deo| uttara, a-a+ -+1aura ya+yA+t" For Private and Personal Use Only

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bhAgahAra / 43 (15) a-3 aka+3 a -ka isa meM a+ ka+3 a + kare isa kA pora 15 yadeg35 16 + 21 + 1 dUsa meM ya+3 +3 +1 isa kA bhAga deo| uttara, a-3 aka+3 prakara-kare, aura 15 ya-10 yaH +6yr-3y+1| (16) 16 ya: + 16 yAra-58 ya +39 yara-41 yara + 14 ra dUsa meM 2 +3 yara - isa kA aura ya - 16 yara - 16 yAra +ra isa maiM ya-5 yara +7 isa kA bhAga deo| uttara, ya-4 yara+zyara-2 aura ya+5 yara+5 yr+r| (17) 55 ya: - 144 ya + 1 isa meM ya-3ya+ 1 isa kA aura 30 -13 ya+1 isa meM 33++1 isa kA bhAga deo| utsara, 55 ya + 21 + ya+3+1aura 10 ya - 11 ya +4 ya+yara-2 +1 / (18) ya-5 +3+2 isa se kisa ko guNa deve to guNanaphala 475 -35573+2411 ya+32 yaha hogA? uttara, 475 ya -- 182 + 76 -24 ya+16 / (19) sya+cur-CART-91deg isa meM 3 ya-8yara +12yara2-12 yara+yara -3ra isa kA bhAga deo| uttara, 3 ya+12yara+12 yara+8yara +325 / (20) jina guNya guNakoM kA guNanaphala 16 a + 15 aya- 15 aya -16 390 yaha hai una meM jo guNaka 4-aya+2 aya+2 azyA -aya + 4ya yaha ho to guNya kyA hogA? uttara, 4 +aya+2adhya-aya-aya-4 ya / For Private and Personal Use Only

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44 . bhAgahAra / (21) 1-220 a+594 a50-540 a15 + 165 a12 isa meM 1-4 +62-4 a + isa kA bhAga deo| uttara, 1+4 +10 +20 a + 35 +56 a +84 +120 + 165 / ga-agare (22) a + aka-akara - ka + aga+2 akraga+ +kaga-ga isa meM a-ka+ga isakA bhAga deo| __ utsara, a+ ka+kara- gare / 3+27 la+18 yarala isa meM ya-2+3 la isa kA (23) ya- bhAga deo| uttara, ya+2yara-3yala+4 +6rala +l'| (24) a-8 kare-490 ga+ 17 aga+16 kareMga+ 182 kagara isa meM a-2ka+ga isa kA bhAga deo| uttara, +2 aka+10 aga+ ka+6kaga-70 gare / (25) ya+yara+1rayara+ -1 isa meM kisa kA bhAga dene se lAbdha ya+22-1 yaha AvegI? uttara, ya+4yara+8 +y+r+1|| (26) 16ya - 81+108rala-54rala+1rala-la isa meM 25-3ra+la isa kA bhAga deo| uttara, ya+12 yara-4yala+18yara-12 yarala+rayalara +272-27rl+rlr-l| (27) a +3 aka+3 aga+3aka+6akaga+3 agara + kara +3 +3 kaga+ga+1sa meM a+ka+ga+ 1 isa kA bhAga deo| uttara, a+2 aka+2 aga+ka+2 kaga+gare--a-ka --ga+91 For Private and Personal Use Only

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bhAgahAra / 45 meM (38) ya e + (5a + 4 ta) ya e + (20 ata + 9ka) ya + 28kata isa ya+4ta isa kA aura ya + (mapa) ya + (na-mapa + ka) ya + (maka- napa) ya + naka isa meM ya e - paya + ka isa kA bhAga deo / uttara, ya+5+ 7ka aura ya + maya + na / (29) 2 + a + 2 + (58) ya e + (4 a - 8) ya + 3 - isa meM ya + ya + 3isa kA bhAga deo / + (+ka) ya+a (33) - (2 + (2a + 219) ya kA bhAga deo / uttara, uttara, 2 + (- 1) ya + (-2) ya + a - 3 | (30) yaha + (- 1) yara - (5 + 1) ghara' + (4+1) ra 6 isa meM tha - 2yara + ra isa kA bhAga deo / * + (+1) ghara + (2+1) 22 + (3+1) yara uttara, + (4+1) Rs* (31) a - (ka' - 3 meM+kaya + gaya isa kA bhAga deo / uttara, - kaya + (ka) ya e - (kare - 2 kaga) yare / (32) (+4ka) ya - ( + 5ka) ya - (ka) ya + a ya - 2 + 1 isa kA bhAga deo / isa meM uttara, (a + 4 ka) ya + (+3ka) ya + ( + 2ka) ghara Acharya Shri Kailassagarsuri Gyanmandir - + ga ) - (karega - 2 kaga) ya isa - 5) ya + (- 2) ya e - ( + 124) ya - ( + 98) 61deg isa meM 1 - 38 + 382 - ya isa + (a+5) ya + (+13) ya e + (+24) ya + (+38) ya + (+55) ya + a + 75) ya + a + 8) ya (4) ya10- (2 - 2ka) - (2 kara - 2gha) - (2 - 2kagha + ga ) * - (2 - ghare ) - 1 isa meM ya2 - Aya + kaya gaya + ghaya - 1 isa kA bhAga deo / uttara, - + a + kaya e + gaya e + ghaya + 1 / For Private and Personal Use Only

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pradha ghaatkriyaa| ' (35 yaha siddha karanA cAhiye ki 1+2ya+yara =1+4ya+ 1-2ya+yara + ya yA+12ya+16ya + ....ananta / 1+ naya+yara + (na+2) ya+2(na+2)ya+3(na+2) ya....aura 1-naya+yara + (na-3 ITE (na'-5) ya+ (na-2na)ya +1)ya + ityAdi / 5 ghaatkriyaa| 32 / jisa kriyA se uddiSTa* pada kA abhISTa ghAta banatA hai usa ko ghAtakriyA kahate haiN| roti / ekarUpa guNyaguNakarUpa padoM kA guNanaphala ghAta kahalAtA hai| isa liye vaha guNanakarma se banatA hai| udA0 (1) a isa kA dvighAta athavA varga = a a = para aisakA trighAta athavA ghana= axax=are, - caturghAta = xaxax , ityAdi / aura -a dasa kA varga =(-) (-a) =ara, ......... ghana = (-) (-) (-)=-are, ___ ...... caturghAta = (-) (-) (-) (-a)=a', paJcadhAta = (-) (-) (-) (-) (-a)=-a, 0 / isa se yaha spaSTa hai ki dhana pada kA kora parA ghAta dhana hi hotA hai aura RNa pada kA pUrA ghAta ghAtamApaka ke samatva viSamatva ke anu.sAra dhana vA mRNa hotA hai arthAta ghAtamApaka sama ho to dhana hotA hai aura viSama ho to RNa hotA hai| * uziSTa arthAt mana meM liyA huaa| For Private and Personal Use Only

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- ghaatkriyaa| 47 udA0 (2) a+ ka isa ke varga, dhana ityAdi kucha ghAta kro| nyaas| a+ka a +ka ara+aka + ka+kara ( +ka)2% a+2 aka+kara a + ka a+2 + prakara + aka+2akara+kare (a+ka)3 = +3 aka+3aka+kare a+ka a+3 aka+3 akara+ akara + aka+3 akara+aka+ka' (a+ka) = a +8 aka+6akara+8 aka+ka a+ka + 8 aka+ kara+8 akana aka: + aka+ 4 aka+6aka+4 aka + kara (+ka) = a +5 aka+10 akara+10 aka+5aka+ka isa se yaha spaSTa hai ki a+ ka aise diyukyada ke vargAdighAtoM meM pahile pada meM mUla ke pahile pada kA ghAta rahatA hai aura usa kA ghAtamApaka krama se do, tIna ityAdi hotA hai / aura usa se uttarottara padoM meM jo mUla ke pahile pada ke ghAta haiM una meM hara eka ke ghAta. mApaka kI saMkhyA meM eka 2 nyana hotA jAtA hai / aura ghAtoM ke dUsare pada meM mUla ke dUsare pada ke ghAta kA ghAtamApaka 1 hotA hai aura usa se uttarottara padoM meM jo mUla ke dUsare pada ke ghAta haiM una meM hara eka ke ghAsamApaka kI saMkhyA meM eka 2 adhika hotA jAtA hai aura ghAtoM ke dUsare pada kA vAradyotaka ghAtamApaka ke samAna hotA hai| :: (a+ka)na = ana+naana-ka+na, ana-raka+na, an-k+du0|| For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 48 ghAtakriyA | yahAM na, na, ityAdi ghAta ke tIsare Adi padoM ke vAravyotaka abhI spaSTa nahIM hue 1 udA0 (3) a + ka + ga isa kA varga aura dhana kyA hai? mUla a + ka + ga = a + ka + ga varga = www.kobatirth.org + ka + ga + a +kara + kaga + + a + ga +karA+ga + 2 ka +2+kara + 2 kaga + gare a + ka+ga Acharya Shri Kailassagarsuri Gyanmandir + 2 +kara + 2 kaga + ga + 2 ka + 2 ka +kare+karega + kaga + a + 2 kaga +2+kare+ka e+gare ghana = a + 3 ka + 3 ga + 3 ka + 6 akaga + 3 a + kare + 3 ka + 3 kaga + gare / I 2 vA, a + ka+ga isa ko a + (ka+ga) yo dviyukpada mAna ke (a + ka + ga ) 2 = { a + (ka+ga) } =a+2 (ka + ga) + (ka + ga) + 2 ka + 2 ga +kara + 2 kaga + gare / aura (a + ka+ga) = { + (ka+ga) } +3 (ka+ga) + (ka+ga) = + 3 ka + 3 a + 3 ka + 6 ka + 3ga +kare+3+3 kaga + gare ye varga aura vaise hi haiM jaise pahile siddha hue haiM saMyukta pada kA varga karane kA dUsarA prakAra / 3=3 + 3 2 (ka + ga ) For Private and Personal Use Only ghana 33 / jisa saMyukta pada kA varga karanA ho usa ke pahile kevalapada kA varga aura dUne usa pahile kevalapada se dvitIya Adi padoM ko guNane se jo guNaphala hoMge una ko likho, phira dUsare kevalapada kA varga aura dUne usa dUsare kevalapada se tRtIyAdi padoM ko guNane se jo

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Shri Mahavir Jain Aradhana Kendra ghAtakriyA | 49 guNanaphala hoMge una ko likho yo anta taka karane se jo banegA sA * usa saMyuktapada kA varga hai udA0 (1) (a + R + 3ga)=' + a + a + 8 ka + 12 kaga + 9 gare / udA0 (2) (yara + 3 + ra e - 6 rala + 10 ra + 9 la e uttara, + 15 * + 20 www.kobatirth.org 321deg (3) ($?2+R # ~ Q)3 -- #* + 8 m2 - 8 m2 + 8 =2 + 4 = a + 4 a - 8 + 4 / abhyAma ke liye aura udAharaNa / (1) 3 aya isa kA varga, ghana aura caturdhAta kyA hai ? uttara, 9, 20 ra 81 / * 1 isI bhAMti (ka+ ga+gha + - 5) 2 = ya e - 2yara + 6 thala 30 lava + 25 vare / phira (ga + gha... ityA0 aba utthApana se (2) - 5 yarala isa kA varga, ghana aura caturghati kyA hai ? uttara, 2584 - 125 yala aura 625 yara'la12 / (3) a + 2ka isa kA varga aura a - 4ya isa kA ghana kyA hai ? uttara, a + 4 ka +4 ka aura 122+4802 - 64 ya / (4) a + 2 + 1 isa kA varga aura dhana kyA hai ? * + 4 3 + 6 a + 8 + 1 aura 6+6 +15+6+1 / *gA) , Na)' = {ga + (gha + ' ) } Acharya Shri Kailassagarsuri Gyanmandir 5. isa kI yukti yaha hai| mAno ki, zra + ka + ga + gha++ yA isa kA varga karanA hai taba (zra+ka+ga+**Na) = a + ( ka + ga + gha + ... Na) } 2 12 = a + 2 (ka + + + sA) + (ka+ga+gha+...) ra {ka + ( ga + gha... yA) 2 = ka*+ zka (ga+dya+Na) + ( ga + dha + ... I)2 2=' + ga (gha+... ..kha) + (gha+...) ityA0 ityA0 (a + + + + +2 + 2ka (ga + gha+yA) + ga +2 (dha + upapatti spaSTa hotI hai / -- 10 yava For Private and Personal Use Only -- dana (ka + ga + + zA) + kara yA) 2 + ityA0 / isa se ukta rIti kI

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Shri Mahavir Jain Aradhana Kendra varga 50 ghAtakriyA | (5) a + 2 ka- 2kara isa kA aura ya e +8 para - 82 isa kA kyA hai ? - 64 yara + 64 Rs4 / uttara, a + 4 ka 8 ka + 4 ka aura ya + yara www.kobatirth.org (6) 2+6 - isa kA varga aura+ka kara isa kA ghana kyA hai ? uttara, 64 + 2 --- uttara, a + 3 ka - 5 ka + 3 ka ka (7) ya' + 2 yara - 412 isa kA aura 8 a + 6 aka kA ghana kaho / Acharya Shri Kailassagarsuri Gyanmandir 4 ya4 + 24 ghare - 108 + 81* aura + 6 -40 3 + ka- 1080 ka + 1458 F ka 6 yara' - 64 Rs6 aura - - kara dUsa 739 / .(). 2 ka 2 kara + kare isa kA aura yare + 4 ghara - isa kA varga kaho / a - 4 a ka + 10 uttara, + - 80 3 + 128 yara + 64 16 / (9) 34 4 8 + 4 2 uttara, 576-384 - 32 + 12 - 4 a + 1 / For Private and Personal Use Only kare - 4 ka + ka aura + 1 isa kA varga kyA hogA ? + 256 - 160 a + 064 (10) ya + 2ya e + 8yara - 16 13 isa kA varga kyA hogA ? uttara, + 4 + 20 2 - 356 yara + 256 raSa / (11) ya +ya e+tha - 1 isa kA ghana kyA hai ? uttara, + 3 + 6 + 46 - 6 (13) ya' + zyaya - 212 + 4 yara + 41* isa kA varga kyA hai ? uttara, + 4 yara + 38 * + 32 yara + 161 / - 23+38 - 1

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Shri Mahavir Jain Aradhana Kendra ghAtakriyA - (13) 1 - isa kA caturghAta aura paJcaghAta kyA hai ? uttara, - 10 + 54 - www.kobatirth.org 1- 4 + 6 24 3+ aura 1 * (14) ya + 2 uttara, ya* + 8 + (16 + 8 kara) 62 - 24 kAya + 16 gare / (16) yaha siddha karo ki - 3 ka + 4ga isa kA varga kyA hai ? + (4-6 ka) ya* - (12 (a-ka-ga) ra + ka ( 1 (15) yaha siddha karo ki (yaM + 3) * - (ya + T) 2 + (ya - T ) 2 - (ya - 31) 2 = 8 yara / - (17) yaha siddha karo ki - (a-ka-ga) ( - ka + ga) ( + ka - ga) (20) yaha siddha karo ki Acharya Shri Kailassagarsuri Gyanmandir = 12 yarala (ya +ra+la) / ka +ga) + ga ( + ka - ga) ra (10) yaha siddha karo ki ( + + ga) 3+3+kare+gare - { (1 + )2 + (I + 1)2 + (F+1)2 } = SS OEN | (19) yaha siddha karo ki ( + ka+ga) + ( + ka - ga) 3 + (-ka+ga) + 12 (kara + gare) = 4 re / (21) yaha siddha karo ki (adeg + 1)(r) (ka e + 1)2 - 4 ) = { ( - 1) (kara - 1) - 4 ka } 2 1 5 +10 = 4 Rga / ( + ka + ga + gha) + (- ka ga + gha) + (- ka + ga -gha) ra + a + ka ga -gha) 2 = 4 ( + ka e + ga + gha) / (ka - 6 ga) ya (ya + ra +la)*+ ya* + r* + la* - {(ya+ra) *+ (tha + la)*+ (ra + la)* } For Private and Personal Use Only 51 - - 1) + ka (cara - 1) } 2 - ka - ga ) *

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mUlakiyA / 6 malakriyA / .34 / jisa karma se uddiSTa pada kA abhISTamUla nikAlate haiM usa ko mUlakriyA kahate haiM / yaha ghAtakriyA ke ulaTI hai / isa liye yadi bIjAtmaka kevalapada kA vargAvimala nikAlanA ho to vaha pada kisa kA dhAdi dhAta hai? yo vargAdi ghAta ke khojane se usa pada ke vargAdimUla kA turaMta bodha hogaa| udA0 (1) ya isa kA dhargamala + ya aura - ya hai kyoMki+ya aura -ya ina donoM kA bhI varga+ ya yahI hotA hai| isa liye yA isa ke bargamala koya yoM likhate haiN| ya isa kA artha dhanAtmaka yA saNAtmaka ya / udA0 (2) - akara isa kA dhanamala - aka yaha hai kyoM ki-aka isa kA ghana - aka yahI hotA hai| udA0 (3) a (ya--) dasa kA vargamUla =+ a (ya-ra), (ya+ 1)2 (ra--1) rasa kA vargamala = * (ya+ 1) (ra- 12 aura - (+la) isa kA namala =-gh(+l)| 35 / bIjAtmaka saMyuktapada kA vargamUla nikAlane kI rIti kA khoja / yaha uddiSTa saMyuktapada ke varga meM jo pada hoge una se siddha hotA hai| soco ki a+ ka yaha eka uddiSTa pada hai / isa kA varga a + 2 aka+kara yaha hai / isa meM a isa ke ghAta ke ghAtamApaka uttarottara ghaTate hue haiN| aba isa ke pahile pada a, kA vargamUla amala kA pahilA pada hai| isa kA varga uddiSTa varga meM ghaTA ke zeSa 2 a + ka ke pahile pada meM mUla ke dUne pahile pana kA bhAga dekhane se ka phala Ane ke yogya hai / yaha mala kA dUsarA pada hai| aba usa dUsare pada ko mala ke dUne pahile pada meM nor3a dene se jo banegA usa ko usI dUsare pada se gaNa dene se (2 +ka)ka athAta aka+kare yaha banatA hai| isa ko 2 aka+kara zeSa meM ghaTA dene se avaziSTa kucha nahIM For Private and Personal Use Only

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mUlaniyA / rhtaa| aura yadi + ka + ga yaha uddiSTa triyukpada ho to isa kA varga (A+ ka) +2 (a+ 2) ga+ga yaha hotA hai| yahA~ pahile sthAna meM (a+ ka) isa kA dharga hai isa se Upara kI yukti se aM+ ka ye do para jAta hoNge| phira bhI apara hI kI yukti se tIsarA bhI paveM jAtaM hogA / kevala ke sthAna meM + ko aura ka ke sthAna meM ga ko mAno itanA hi vizeSa hai| isI bhAMti caturyumpada AdioM ke dhI meM bhI padoM kI racanA naano| isa se yaha vargamala nikAlane kI rItiH utpanna hotI hai| . bIjAtmaka saMyuktapada kA vargamUla nikAlane kI riiti.| jisa pada kA vargamala nikAlanA hai vaha udviSTa varga: kahAnAve usa ko isa bhAMti likhA ki jisa meM kisI eka akSara ke ghAsoM ke ghAtamApaka uttarottara ghaTate hue vA bar3hate hue rhe| phira pahile pada ke vargamala ko bhajanaphala ke sthAna meM likha ke usa ke. varga: kA uddiSTabarga meM ghaTA deo phira bhAjakra ke liye usa pahile pada ke vargamala ko dUnA karake bhAjakasthAna meM likha de usa kA zeSa ke pahile pada meM bhAga dekhane se jo phala pAne ke yogya ho usa ko bhajanaphala ke sthAna ke pada meM aura bhAjaka meM bhI jor3a deo| phira isa jor3e hue bhAjaka ko usI phala se guNa ke guNanaphala ko zeSa meM ghaTA deo| aisA bAra 2. anta taka karo / yo karane se jitane bhajanaphala ke sthAna meM pada pAveM. saba milake vargamUla hai| udA0 (1) a+6 aka +kara isa kA vargamala kyA hai ? nyaas| a+ 6 aka+raka(+3ka 2+3ka) +6 aMka +9 kara +6 +kara For Private and Personal Use Only

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mUlakriyA / ___ yahAM a + 3 ka yaha vargamUla AyA aura jo pahile pada kA vargamala - aleke vargamUla nikAlo to-a-3 ka yaha aavegaa| yaha a+3ka isa ke dhanarNatva ko palaTa dene se bhI banatA hai / yoM kisI pada ke vargamUla kA dhanarNatva vyatyAsa karane se dUsarA vargamUla banatA hai| yaha sarvatra jaano| bhAskarAcAryajI ne bhI kahA hai ki svamale dhanaNe / udA0 (2) ya - 12 a + 4 apara isa kA vargamala kyA hai? nyaas| ya - 12 aya + 4 azya (33-2 aya tya 6ya- 2 aya) - 12 aya + 4 ayara --12 ayaH + 4 ayara udA0 (3) nyaas| ya+ 4 ya-8 ya+8 isa kA vargamala kyA hai? ya+4 ya-ya+4 (ya+2 ya-2 yaha vargamala hai| 2ya+raya) + 4 ya-ya+4 ___ +4 ya + 4 ya 2ya+4 ya-2) -4 ya2-83+4 -4yara-8ya+8 udA. (4) aya' +2 akaya+ (2 aga+kara) ya+2 kagaya + gare isa kA vargamUla kyA hai? nyAsa / a +2 akayA+(2 aga+kara) ya+rakagaya+ga2(aya+kaya+ga aya 2aya+kaya)+akayA+(2 aga+kara)ya+rakagaya+gara +akaya+kAyara aya+ kaya+ga) agaya+2 gaya+gara 2 agaya+ rakagaya + gare For Private and Personal Use Only

Page #72
55 makriyA / udA0 (5) + ya isa kA vargamUla kyA hai ? nyaas| + ya (3+ya-ya+2 ya - ityAdi ananta / 1+ya) +ya +4+yara 1+2 ya-ya2) -ghara -yara-2ya+ 1+2ya- 25+2ya)+2ya-ya +2 +4 -4 +4ya __-5ya +8 ya- 4 0 a0 / yahAM vargamUla meM ananta pada Ate haiN| isa liye isa ko anansazreThI kahate haiN| aura isa ko V+ya=+ya-ya+2 - 10 pra0yoM likhate haiN| aura isa meM yadi ya kA mAna thor3A mAnA jAye to dazamalayoM meM + ya. isa kA Asatra vargamUla lene ke liye yaha zreThI bahuta kAma kI hai| yahAM ya ke kalpita ghor3e mAna se zreThI ke do yA tIna padoM kA utthApana karane se Asatra mUla banatA hai| jesA Vi+ya, vA,V.5+ ya =3+ -ya+2ya - 0 a0 rasa meM yadi ya = =.01 mAno to .25+..1 vA V.RE = +..1-(.01)2 + 2 (.01)3 prAsana =.5 + .01-.00012.000002 -.509802 paasc| abhyAsa ke liye aura udAharaNa / (1) 196 aya" isa kA aura (a-ka)gara isa kA vargamUla kyA hai? uttara, 14 ayara pAra / (-k)g| (2) 64 yA isa kA aura - (ya+ra) (la-a) isa kA ghanamala kyA hai? ___ uttara, 4yara aura - (ya+ra) (l-b)| For Private and Personal Use Only

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mUlakriyA / . ..(3) 16 ta tha da isa kA aura 81 (ka-ga) isa kA caturzatamUla kyA hai? uttara, ratathada' aura +3 a (k-g)| (4) -32 ataya0 isa kA aura (a+ ya2)10 ( -1)15 isa kA paJcadhAtamala kyA hai? _ uttara, 2 ata ya aura (ara + yaH)2 (-yara) / (5) 55 pa pharava18 isa kA aura 64 (a-ka) (a-ga)27 (ka-ma)42 dUsa kA SaDyAtamala kyA hai? uttara, 5 papha ba aura + 2(a-ka) (a-ga) (ka - ga) / (6) a + 14 a+ 49 isa kA aura haya-30 ya + 25 isa kA. varga: mUla kyA hai? uttara, a+7 aura 35-5 / ___ (7) haya--12 yara 41 isa kA aura 4 a -20 +2 isa kA vargamala kyA hai? uttara, 35-21 aura 21-5 / - (8) aka+6 aka+isakA aura 4 ayara- 12 akayara +ear isa kA vargamala kyA hai? ___ uttara, aka+3 aura 2 aya-3 kr| (da) a-10 a + 25 yarasa kA aura aya-2 ayara + rasa kA bargamana kyA hai? uttara, a-5 ya aura ay-r| (10) 81 a + 29 a + 216 a + E aya' + 16 ya" isa kA vargamala kho| uttara, a+ 12 aya+ 4 yare / (11) -2 a + 3 2 -2 a +4 isa kA aura . 4 ya-8 + 4 ya+pa isa kA vargamUla kyA hai ? uttara, a-ya+ bAra 2 yara-25-3 For Private and Personal Use Only

Page #74
mUlakriyA / - (12) a.-6 - +54 a+81 sa kA aura aI- 4 ara +10 a3-4 +1 isa kA vargamala kyA hai? utsara, are-3 - aura a - 2 -2 +1 // (13) 4 a +40 aya-500 aya + 625 ya yaha kisa kA dharma hai| uttara, a+ 10 aya-25 yara / (14) kisa kA varga kareM to 81 + 216 -192 yara + 64 ra yaha hogA? uttara, y+12yr-kr| (15) 64 vaya - 320 aghi + 1000 aya + 625 dUsa kA vargamala kho| uttara, aya-20 aya-25 / (16) 1-2 +3.1- 4 a + 3 a - 2 a + a isa kA aura ya-4 ya + 42deg isa kA vagaimala kyA hai? uttara, 1- +ara-a aura ya - 222 / (17) 4ya +8 + 5ya - 2 ya+ 1 isa kA aura ya+2yala +5yala2-8 yala' + 4 la isa kA vargamala kyA hai? uttara, raya+2 yara-ya+1aura ya+yarala +2 yala-2 la / (18) ya-4 ya + 105 - 15ya + 36 ya+ 36 isa kA aura +2 akare +2 agaH + ka +2kaga + gaisa kA vargamala kyA hai? utsara, ya-2 +3ya+6aura a+kara+gare / (19) kisa kA varga 16 ya-40 yara + 25 +24 ya-30ra+ utsara, 45-5+3 / (20) 16 - 32 aka+28 aka* -- 8 a +ka isakA vargamUla kyA hai? uttara, 4 -4 aka-2 kara -2 ak+k| For Private and Personal Use Only

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58 mala kiyA / (21) 656AT +848yara' + sadasya ra +96 yara +16 isa kA vargamUla kho| uttara, 13 +54.yara-18 yAra + 12 yara + 4 / (22) a-2 akaya + (ka+2 aga) ya2-2 kagaya + gaya' isa kA vargamUla kyA hai? __ uttara, a-kaya+ gaya / / (23) ya+ 1+ (2 -64) ya + (a+64) ya-16 aya+ara isa kA vargamUla kyA hai ? ___utsara, ya+ 4 ya-8 ya + a| (24) ya+kaya + (kara+raMga) 2 + (2kaga+2 gha) yare + (2kagha+ga) +2gaghaya+ghadUsa kA vargamala kyA hai? utsara, y+ky+gy+gh| (25) (ya+5ya- 2) (ya+ ya - 8) + (2 ya + ) isa kA vargamUla kyA hai? usara, ya+3 y-5| (E) (5 yara-2 - 1)2- (ya- ya+3) (2 ya' + 5-5) isa kA dhanamala kyA hai? uttara, 332-7y+4| (27) (12 +34 ya+10) + (5 yara - 14 ya-24) isa kA vargamala kho| uttara, 13 ya+26 ya+26 / (28) ya (ya+a) (ya+2a) (ya+ 3 a)+a isa kA vargamala kyA hai? uttara, ya+3aya + are| . (29) 1-8yA isa kA vargamala kyA hai? utsara, 1-42-8 -32 -160 - ityAdi anntH| For Private and Personal Use Only

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5 . malakriyA / (30) 1+ 4 aya - 4 kyA isa kA vargamUla kyA hai ? uttara, 1+2 aya - 2 (a+ ka) ya+ 4 (a + aka) yare - ityAdi ananta / 36 / bIjAtmaka saMyuktapada kA koDa mUla nikAlane kA prakAra / jaba ki (a+ka)na = ana + na ana-ka + .... to isa para se jAnA jAtA hai ki uddiSTaghAta ko sudhAra ke likhane se arthAt usa meM kisI eka akSara ke ghAtoM ke ghAtamApaka uttarottara ghaTate vA bar3hate hue raheM yoM likhane se abhISTamala ke malamApaka kA dyotaka na atara mAna ke no uddiSTa ghAta ke pahile pada kA naghAtamUla Ave vaha abhISTamUla kA pahilA pada hai / usa ke naghAta ko samaya uddiSTa ghAta meM ghaTA dene se jo zeSa bacegA usa ke pahile pada meM mUla ke pahile pada ke (na- 1) ghAta ko na se guNa ke usa guNanaphala kA bhAga dene se abhISTamala kA dUsarA pada milatA hai| phira mala ke ye do pada mila ke jo eka dviyu. kpada banegA usa ko abhISTamala kA pahilA pada samajha ke phira parvavat kriyA karane se abhISTamala ke saba pada spaSTa ho jaayeNge| udA0 (1) ya+65-40 ya +96 ya-64 dasa kA ghanamala kyA hai ? nyAsa / ya+6ya -40 ya+66 ya-64 (A+2y-8| 3 ya) +6ya ya+6 +12ya+8 = (ya+sya)3 3ya') - 12ya ya+635-40 ya +96 ya-64 = (ya+2ya-4)3 udA0 (2) ya+ 12ya + 42 ya--1895+378 ya2-324 ya + 81 isa kA caturyAtamUla kyA hai? For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra mUla kriyA / nyAsa / tha5+12thadeg+4361896 + 3786 3248+81 (2+3-3 / ya 4. ya) +128 4ya ) - 128 a5+13a3+48aEUR+C/%=a*+59 a*= (q2 + 3 a)* www.kobatirth.org ya+12+42818+37862 - 3246+81 = (ya' +38-3) 4: athavA jaba ki vargamUla kA vargamUla caturghAtamUla hotA hai isa liye jisa bahuyukpada kA catughAtamUla jAnanA ho usa kA pahile (35) ve prakrama se vargamUla jAna ke phira usa vargamUla kA bhI vargamUla jAno vaha caturghAtamUla hogA / 15 isa liye pahile vargamUla jAnane ke liye nyAsa | 2* + 663) + 92+42 + 12 + 36 ( + 6 + 3-18+6 + 12 + 42 - 986 + 3782 - 324 ya + 89 ya 2ya1 + 1263 + 3) 6 186 ya 6 6 + 36 ya + ya - 28* +123 + 6 -18)- 36 ya 166 36. ya - 216 ya 26 + 13 + 636 + 8 ) 28+6ya - 3) - 2ya' + 3ya) + 6ya' + 38deg + 6 ya3 + ya Acharya Shri Kailassagarsuri Gyanmandir phira isa vargamUla kA bhI vargamUla lene ke liye myAsa / ya* + 6 83 + 3 ya e - 18+ 9 (ya e + 36-3 ya 908 + 324 ya + 18 ya + 108 ya e + 54 2 - 324ya +80 + 18 + 108 + 541-3248 + 80 - 6 ya e - 18 616 + + 378 ya + c For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra uttara, (3) 64 4 isa prakAra se bhI yara + 3 ya Upara pUrva prakAra se milA hai / isI bhAMti jaba ki vargapUla kA ghanamUla athavA ghanamUla kA vargamUla paghAtamUla hotA hai aura vargamUla ke vargamUla kA vargamUla rASTaghAtamUla hotA hai isa liye SaDdhAnamUla vA aSTaghAtamUla jAnanA ho to ukta ke anusAra bAra2 mUla lene se bhI abhISTamUla milegA / abhyAsa ke liye aura udAharaNa / kyA hai ? (1) 49 adeg + 70 akraya + 25 kaya isa kA vargamUla kyA hai? uttara, 7 + 5 kaya / - (3) * - 2*ya e + 3 atha - 2 a + ya' isa kA vargamUla kyA hai ? - ya + ye ? | www.kobatirth.org (6) mUlaHkrayA uttara, kA 3 yaha vahI caturthItamUla milA no uttara, .(4) 27 3 - 54 adeg + 36 (7) 64 Acharya Shri Kailassagarsuri Gyanmandir 448 azka + 2744 akareM + 2401 ka isa kA vargamUla 82 - 28 cakra - 49 kare / uttara 3-2 / (5) tha + 15 aYa e + 75 a + 125 * isa kA ghanamUla kaho / utara ya+5dma / miklo / *' + 27 ra 60 isa kA gra-3 / - 8 isa kA ghanamUla kyA hai ? de ghanamUla 336 ra + 588 ghara - 343 ra isa kA 45 - 21 / For Private and Personal Use Only 'ghanamUla jAno / uttara, (5) Y=EUR + 2 **2 + 8EUR qdeg uttara, cA' + 4 ko (C) a + 3 abhya 5 a + 3 atha' - va' isa kA ghanamUla kyA hai ? uttara, cA + trAya ya | ka yaha kisa kA ghana hai ?

Page #79
prakIrNaka / - (10) 16 +64 yara- 224 ya3-56 yA + 336 yara-216 yara' + 81ra isa kA caturyAtamUla kyA hai? uttara, 2ya+2 yara-3 / 1 (11) - 15 ya la +60 yala-270 yAla' +405 yala --- 243 la' isa kA paJcaghAtamUla kyA hai? uttara, y-3l| (12) ya+12ya+60ya + 160 ya+240 + 192 ya+64 isa kA SaDyAtamUla kyA hai? uttara, ya+2 (13) a-aka+38 akara-56 aka+70 aka -- 56 aka' +28 aka-aka+ka isa kA aSTaghAtamala kyA hai ? uttara, a-k| . . prakIrNaka / samazAdhana vA patAntaranayana / 37 / bIjagaNita meM pada ko vA padoM ke samUha ko pakSa kahate haiN| aise do pakSoM meM kisI eka hi rAzi ko vA do samAna rAziyoM ko jor3a denA vA ghaTA denA isa kriyA ko samazedhana kahate haiN| jo do pakSa samAna hoM una ko = isa samasvayosaka ciha kI donoM aura likha dene se jo rUpa banatA hai usa ko samIkaraNa kahate haiN| aura jaba ki samAna do rAzioM meM samAna hi milAne se vA ghaTAne se una kA samatva naSTa nahIM hotA isa liye jo kisI samIkaraNa meM samazodhana karo to usa ke pakSoM ke samaya kA nAza na hogaa| For Private and Personal Use Only

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prakIrNaka / isa liye aka- ga + gha, isa samIkaraNa dAsatA ko ga jor3a deo to a+ ga =ka-ga+ gha+ga, arthAt + ga = ka + / ye bhI donoM pakSa samAna haiN| isI bhAMti parva donoM pakSoM meM gha ghaTA dene se a-gha ka -ga+gha-gha, arthAta a-ghk-g| ye bhI samAna haiN| athavA donoM pakSoM meM kako ghaTA dene se aura gako joDa dene se a-ka+ga-ka-ga+gha-ka+ga, arthAta a-ka+ga= gh| ye bhI pata paraspara samAna haiN| athavA aura bhI jo donoM pakSoM meM ako ghaTA deo aura gako jor3a deo to - +ga= ka-ga+gha- +ga, arthAta ga-ka+gha-aye donoM pakSa samAna haiN| ityaadi| isa meM spaSTa dekha par3atA hai ki samIkaraNa meM usa ke kisI pada kA samazodhana karane se vaha mada apane dhanatva ko vA aNatva ko palaTa ke dUsare pakSa meM jAtA hai| isa liye samIkaraNa meM jo kisI pada kA samayodhana karanA ho to usa pada ko usa ke pakSa meM se nikAla ke usa kA dhanarNa cihna palaTA ke dUsare pakSa meM likhate haiM aura isI liye isa karma kA dUsarA nAma patAntaranayana rakkhA hai| isI prakAra se jo do pakSa samAna na hoM arthAta viSama hoM una ko > isa vAra isa viSamasvayotaka cihna kI donoM ora likhane se jo rUpa bane so viSamIkaraNa kahAve / aura jaba ki viSama do rAziyoM meM samAna hi milAne se vA ghaTAne se ve vaise hi viSama bane rahate haiN| isa liye jo kisI viSamIkaraNa meM samazodhana karo to usa ke pata vaise hi viSama bane raheMge jaise pUrva meM haiN| For Private and Personal Use Only

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ER / + prakIrNaka / - isa liye jo a-ka>ga-gha isa viSamIkaraNa ke donoM pakSoM meM gha nor3a deo to a-ka + gha>ga-gha+ gha, __arthAt . a-k+gh>g| ye bhI donoM patta krama se adhika nyana haiN| isI bhAMti jo parva donoM pakSoM meM ka jor3a deo to a-ka+ka>ka+ga-gha, arthAt a>ka + ga - gha ye bhI pata krama se adhika nyana haiN| aura bhI jo a-ya<+gha ina donoM pakSoM meM ya jor3a deo to a-ya+ya isa vA < isa cihna kI donoM ora jo do pakSa hoM una meM kisI eka pada kA pattAntaranayana karane se una pattoM kA vaiSamya bigar3atA nhiiN| anumAna 1 / samIkaraNa ke do pakSoM ke hara eka pada kA dhana prama cihna palaTa dene se bhI una do pakSoM kA sAmya bigar3atA nahIM kyoM ki hara eka pada mAno pattAntara meM gayA sA hotA hai| anumAna 2 / yadi eka cihna se jur3A huA eka hi pada donoM pakSoM meM ho to usa ko chaka de sakate haiN| isI prasaMga meM viSamIkaraNasaMbandhi kucha siddhAnta likhate haiN| . (1) jaba ki dhanAtmaka vA maNAtmaka pada kA varga dhana hi hotA hai to (ya-ra)2, vA, yara-2yara+r>. : pakSAntaranayana se ya+P>yara isa meM jAna par3atA hai ki koI do viSama rAzioM ke dharmoM kA yoga sarvadA una ke dUne guNanaphala se adhika hotA hai| __(2) tIna viSama rAziyoM meM hara eka do 2 rAziyoM ke gukhAnapAnoM ke yoga se una tIna rAzioM ke vargoM kA yoga sarvadA bar3A hotA hai| . For Private and Personal Use Only

Page #82
prakIrNaka / isa kI upapatti / jaba ki Upara ke siddhAnta se siddha hai ki / .. ya+ > 2 yara, ya+ la>2 yala aura ra+la>rala : taba adhika patoM kA yoga bhI nyana pakSoM ke yoga se bar3A hi hogA :: 2ya+2+2la'>2 yara + 2yala + 2rala. aura :: ya+ + la> yara + yala + rala yoM upapanna huaa| isI yukti se yaha bhI turanta siddha hogA ki 3 (ya+ra+la+va.)>2 (yara + yala + yava+rala+rava+laba) vA, ya+ra+la+va> 3 (yara + yala + yava + rala + rava + lv)| (3) do viSama rAzioM ke yoga ke varga se una rAzioM ke vargI kA yoga dUnA sarvadA bar3A hotA hai| yA tIna viSama rAzioM ke yoga ke varga se una ke vargoM kA yoga tigunA aura cAra viSama sazinoM ke. yoga ke varga se una ke vargoM kA yoga caugunA sarvadA bar3A hotA hai| aura isI bhAMti age bhI jAnA / isa kI upapatti jaba ki ya+r>2 yara, isa liye donoM pakSoM meM ya+ra jor3a dene se 2 ya 12>ya+ yA+ra, arthAt 2 (ya+) > (ya + ) yo upapana huaa| aura jaba ki (ya+ra+la)2 = ya+ra+le+2yara+ yala+rala :: pakSAntaranayana se 2yara + 2 yala +2 rala = (y+r+l)2-32-2-l| parantu Upara ke dUsare siddhAnta ke anusAra / - ya+2 +2 la>2 yara --2yala +rala . ya+2 +2la >(ya +ta) -ya--12-lara bora : pakSAntaranayana se y For Private and Personal Use Only

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66 prakIrNaka / 3 82 + 3 12 + 3 la' arthAt 3 (ya' + ra + la') > (tha + z + la)' yo upapanna huA / isIyukti se 4 (ya' + rdeg + la + va e) > ( + ra + la + ba) ra ityAdi bhI turanta upapaca hotA hai / (4) tIna viSama rAziyoM ke guNanaphala ko una tIna rAziyoM ke yoga se guNa deo to usa guNanaphala se bhI una tIna rAziyoM ke catughotoM kA yoga bar3A hotA hai / isa kI upapati / Upara ke dUsare siddhAnta ke anusAra jaba ki ya + ra + la > yara + yala + rala Acharya Shri Kailassagarsuri Gyanmandir to isameM ya, ra, la dUna ke sthAna meM una ke vargoM ko rakhane se spaSTa hai ki ya* + r* + la* > ya er + ya ela' + Rsla yoM hogA aura jaba ki tha' + 1' > 2 yara isa liye 'la' + 'la' > 2 yarala / isI bhAMti siddha hotA hai ki yara + ra ela > 23 gharala aura yaha + ya la > 2yarala aura aba ki adhika pakSoM kA yoga nyUna pattoM ke yoga se bar3A hi hotA hai / .: 2812+2'la' + 2'la' > 2yarala + 2yAla + 2 la arthAt z + ya ela' + ra 'la' > yarala (ya + ra + la) In sat fag fanar fa a(r) + c*+a" >q2degC2 + q?a2 + c2a2 dasa se ati spaSTa hai ki ya* + * + la > yarala (ya + ra + la ) yaha upapatra huA / (5) yasa siddha karo ki jaba ya hotA hai| 1 se para nyUna +ka aura ra = a-ka to a nyAsa / ya a + ka aura Rs = - ka pahile do pakSoM meM krama se dUsare donoM pakSoM ko jor3a dene se, For Private and Personal Use Only

Page #84
prakIrNaka / ya+1 = (a+ka) + (a-ka), vA, ya+1 =2 / parantu ya+r>2yara, ::2 a>2yara: a> yr| yoM siddha huaa| (6) do viSama rAzioM ke vargayoga ko unhIM do rAzioM ke guNanaphala se guNa dene se jo phala hogA usa se una do rAzioM ke caturghAtoM kA yoga sarvadA bar3A hotA hai| usa kI upapatti / mAno ya aura ra ye do rAzi haiM aba ina meM jo ya rAzi ra rAzi se bar3A ho to spaSTa hai ki ya>i ina donoM pakSoM ko ya-ra isa dhanAtmaka antara se guNa dene se ya-yara> yara -ra", taba pattAntaranayana se ya+">ya +yara, arthAta ya+r"> yara (y+r)| aura jo do rAziyoM meM ya rAzi ra rAzi se choTA ho arthAt ra>ya to >y| aba ina donoM pakSoM ko ra-ya isa dhana antara se gaNa dene se -yA>yara-ya', . . taba pakSAntaranayana se ya+t">yara+ghara', arthAta ya+r > yara (y+r)| isa prakAra se ya aura ra dUna rAzioM meM ya se rabar3A ho vA choTA ho to bhI ya+r> yara (ya+ra) yahI siddha hotaa.hai| yoM upapatra huaa| . abhyAsa ke liye viSamIkaraNa ke udAharaNa / (1) yaha siddha karo ki ya> 6y-| For Private and Personal Use Only

Page #85
prakIrNaka / (2) yaha siddha karI ki (a+kara) (ga+) yaha (aga+kagha)2 isa se sarvadA bar3A hogA paraMtu jo isa meM ama, ka =gha aura ama = kagha, na ho| (3) yaha siddha karo ki (a-kara) (gara-ghara) yaha (aga-kagha) isa se sarvadA choTA hogA paraMtu jo isa meM aga, ka = gha aura aga== pAgha, na ho| (8) yaha siddha karo ki (a+ka) isa se 8 ( a ka') yaha sarvadA bar3A hogA paraMtu jo aaura ka paraspara samAna na hoN| 38 / saMkramaNa / do rAzioM ke yoga aura ansara para se una do rAzioM ko jAnane ke prakAra ko saMkramaNa kahate haiN| mAno ya aura ra ye do akSara koI do rAzioM ke ghotaka haiM aura ina meM 2 bar3e rAzi kA aura ra choTe rAzi kA dyotaka hai aura a una ke yoga kA aura ka una ke antara kA yotaka hai| saba ya+ra= a aura ya-ra=ka hogaa| .:. (ya+ra) + (ya-ra) =a+kavA ya= 1 (a+ka) aura (ya+ra)-(ya-ra) = a-kavA ra 3 (pr-k)| - isa se spaSTa hai ki ko do rAzioM kA yoga aura antara ina ke yoga kA AdhA bar3e rAzi ke samAna hotA hai aura ina ke antara kA AdhA choTe ke samAna hotA hai| bhAskarAcAryajI ne bhI likhA hai ki, yogo'ntareNAnayuto'rdhitasto rAzI smRtaM saMkramaNAkhyametat / / 36 / isa praznama meM aneka upayogi siddhAntoM ko kahate haiM jo sAmAnya gaNita se utpanna hote haiN| [1] jaba ki (a+ka) = a +2 aka+kara, aura (a-ka) = 2-2 aka + kre| to isa se spaSTa hai ki koI do rAzioM ke yoga kA aura antara For Private and Personal Use Only

Page #86
prakIrNaka / kA varga krama se una do rAzioM ke vayoM ke yoga meM unhIM do rAzioM. ke dviguNita guNanaphala ko jor3a dene vA ghaTA dene se to bane usa ke samAna hotA hai / jaisA, (1) (3 +5ya) = (3 a)2+2( 3 45ya)+ (ya)2 __ = +30 aya+25 yara / (2) (5ya-13)2 =25 ya2-130 ya+ 168 / (3) (75-8pha) = 49 - 112 papha + 64 ph| [2] jaba ki (a+ka) x (a-ka) = ara-ko to isa se jAna par3atA hai ki koI do rAzioM ke yoga aura antara kA guNanaphala una ke vargoM ke antara ke samAna hotA hai / jaisA, (1) (2 ya +3) 4 (2 ya -3ra) = 4 y-hr| (2) (a+ka+ga) (a+ka-ga) = { (+ka) + ga} {(a+ka)-ga} = (a+ka)2- gara= a +2 aka + ka- gare / (3) (ya + yara+t) (ya-yara+ra) = {(ya+ra) + yara} + (ya' + ra) ~yara} = (ya+T)2-(yara)2= ya+kyA +rl-yA y+At+r| anumAna / kisI rAzi ke samAna do vibhAgoM kA guNanaphala usa rAzi ke viSama do vibhAgoM ke guNanaphala se bar3A hotA hai| / ___ mAno ki 2 a eka rAzi hai aura isa ke a+ka aura a-ka ye do vibhAga haiM taba ina do vibhAgoM kA guNanaphala ( ka) (pra-ka)- re-kara yaha hogaa| aba jo ka = * mAno to a-ka isa guNanaphala kA mAna saba se bar3A hogA yaha spaSTa hai| paraMtu taba ve vibhAga pratyeka ke samAna hAMge arthAt donoM paraspara samAna hoMge / isa liye samAna hi do vibhAgoM kA guNanaphala saba se bar3A hogaa| yaha siddha huaa| For Private and Personal Use Only

Page #87
70 prakIrNaka | [3] jaba ki (ya + a) (ya + ka) = ya e + a + ka) ya + aka / to isa se spaSTa hai ki ya + a aura ya + ka aise do dviyukpadoM kA guNanaphala triyukpada hotA hai aura isa meM pahilA pada ya kA varga hotA hai, dUsare pada meM ya kA vArayotaka + ka arthAt una dviyukpadoM ke dvitIya padoM kA yoga hotA hai aura tIsarA pada aka arthAt una dvitIya padoM kA guNanaphala hotA hai / jaisA, Acharya Shri Kailassagarsuri Gyanmandir (1) (ya+5) (ya + 7) = ya e + (5 + 7) ya+540 ya + 12 + 35 / (2) (ya - 3) (ya - 8) ya e + (- 3 - 4) ya + (-3) x ( - 8) - 82 - 78 + 12 / (3) (ya + 6) (ya-2) = ya e + (6 - 2) ya + 64 (-2) = ya + 4 ya - 12 / isI bhAMti jaba ki (ya + a) (gha+ka) (ya+ga) = ya + a + ka + ga) ya + ( ka + a + kaga) ya + akaga / to isa meM bhI spaSTa dikhAtA hai ki ya + a ya + ka aura ya + ga aise tona dviyukpAdoM ke guNanaphala meM pahilA pada yare, dUsare pada meM yara kA vArayotaka a, ka aura ga ina kA yoga, tIsare pada meM a, ka aura ga maiM de| 2 ke guNanaphaloM kA yoga ya kA vArayotaka hotA hai aura cauthA pada a, ka aura ga ina kA guNanaphala hotA hai| jaisA, ina (1) (ya + 2) (ya + 3) (ya + 4) = ya + (2+3+4) ya e + (243+2X4+3x4 ) ya + 243x4 = ya3 + ya e +26ya + 24 / (2) (ya + 1) (ya - 3) (ya +5) - ya e + (1-3+5) ya e+{(1X-3) + (1x5) + (-345) } ya + 14-35 = ya + 382 - 13 ya - 15 / For Private and Personal Use Only

Page #88
prakIrNaka / (3) (ya - 1) (ya-2) (4-3) = ya+(-1-2-3)ya+ {(-1)(-2) + (-1)(-3) + (-2)(-3)ya __ + (-14-24-3) = ya-6 ya+11 -6 / [4] jaba ki (8-- aka + kara) (a+ka) = a + kara aura (a+ aka+kara) (a-ka) = - kreN| to isa meM spaSTa dekha par3atA hai ki koI do rAziyoM ke vargoM ke yoga meM unhIM rAzioM ke guNanaphala ko ghaTA dene vA jor3a dene se jo banatA hai usa ko krama se una do rAziyoM ke yoga vA antara se gaNa dene se una rAzioM ke ghanoM kA yoga vA attara banatA hai| 40 / jo rAzi Apa aura 1 chor3a kisI dUsare rAzi se niHzeSa bhAgA nahIM jAtA usa ko dRDha kahate haiM aura jo bhAgA jAtA hai usa ko adRDha kahate haiM aura adRDha rAzi do vA bahuta dRDha rAzioM kA guNanaphala hotA hai / jaisA, praka, a+ka, ya-2la ityAdi ye saba dRDha rAzi haiM aura 2a, ya, aya, a (a-ka) ityAdi ye saba adRDha rAzi haiN| 41 / isa prakrama meM adRDha rAzi ke dRDha guNyaguNakarUpa avayava karane ke prakAra dikhalAte haiM / isa dRTha guNyaguNakarUpa avayava ko khaNDa kahate haiN| (1) kisI saMyuktapadarUpa adRDha rAzi ke jo saba pada kisI eka hi kevalapada se ni:zeSa bhAge jAte ho to usa kevalapadarUpa khaNDa ko alaga karanA yogarIti se bahuta sugama hai / jaisA, (1) aka-kara = (a-ka) ka / (2) ayara-3 areya = (a-3ya) pry| For Private and Personal Use Only

Page #89
prakIrNaka / (3) 5 aya+ 10 anya + 5 a = 5 azya (a+ 2 aya+yara) =5 areya (a+ya) / ... (4) 5ya+10 yara+3yara+6 =5ya (ya+2ra) +3ra (ya+21) = (5 +3ra) (y+22)| (5) a+ a + a + 7 a a (a+ + +7) ____ = a{a (+9) + (a +9)} = a (A+ 1) (a+7)| [zano udviSTa rAzi do padoM ke varSoM kA antara hai usa ke khaNDa karane hoM to eka khaNDa una do padoM kA yoga, aura eka una donoM kA antara aise do khaNDa hoNge| isa kI upapatti (39) ve prakrama ke dUsare siddhAnta se spaSTa hai / jaisA, (1) 4 ara-ya = (2 +3ya) (2 -3 y)| (2) 1-2 = (1+ 1) (1-ya) = (1+ ya2) (1+ 1) (1 - 2) / (3) 4 akara- (a+kara-gara) = (2aka)- (a+kara-ga)2 = (2 aka+a+kara-gara)(2 aka-ara-kara+gara) = {(a+ka)2-- ga} {gare- (a-ka)} = (a+ka+ga)(a+ka-ga) (ga+a-ka) (ga-- +k)| isI bhAMti siddha karo ki (1) 12-2-la+vara-2(yava-rala) = (y+r-l-v)(y-r+l-v)| (2) a-kA= (a+ka) (A+ka') (A+kara) (a+ka)(a-ka) (3) 4 (agha+ kaga)2- (are-ka-gara+gha)2 =(-a+ka+ga+gha)(a-ka+ga+gha)(a+ka-ga+gha)(a+++ga-gha) / [3] jo triyukpada ya + paya +pha isa bhAMti kA ho usa meM jina do saMkhyAoM kA guNanaphala pha hogA una kA yoga jo pa ke samAna ho to (39) ve prakrama ke tIsare siddhAnta se usa triyukpada ke khaNDa turanta jJAta hoNge| jaisA, For Private and Personal Use Only

Page #90
prkiirnnk| (1) 3+7+ 12 = 2 + (3+4) ya+344 __ = (ya+3) (y+4)| (2) ya - 8 + 7 = 1+ (-1-7) ya+ (-1) (-7) __ = (4-1) (y-7)| (3) 32-25-35 = 2+ (5-7) ya+54 (-7) = (ya+5) (y-7)| [4] jo uddiSTa rAzi do padoM ke dhanoM kA yoga vA antara hai usa ke khaNDa karane hoM to krama se eka khaNDa una do padoM ke guNanaphala se ghaTA huA vA juDA huA una do padoM ke vargoM kA yoga, aura eka una do padoM kA yoga vA antara aise do khaNDa hoMge / isa kI upapatti (39) ve prakrama ke cauthe siddhAnta se spaSTa hai / jaisA, (1) a+8 kaI = (ara-2 aka + 4 ka) (a+2k)| (2) a6- ya = (a + ya3) (a - ya3) = (ara-aya+ya) (a+ya) (a+ aya+ya) (a-y)| (3) a + 3 aka+3 aka+ka-ga = ( ka)3 - gare = (a+ka)2+ ga (a+ka)+gara (a+ka-ga) = (a+2 aka+ka+aga+kaga+gara) (+k-g)| [5] kahIM 2 uddiSTa adRDha rAzi ke khaNDa karane ke liye usa meM kitane eka padoM ke apanI buddhi se aise do vA adhika bhAga karo vA usa adRDha rAzi meM aise eka vA aneka pada joDa ke ghaTA deo ki jina se adRDha rAzi pahile prakAroM se khaNDa karane ke yogya hove / yaha kalpanA gaNita meM prati abhyAsa hone se Apa se Apa mana meM pragaTa hotI hai| jaisA, - (1) ya+5yara + = +2 yara +3 yara+62 . = ya (ya+2 +3ra (ya+22)= (ya+3ra) (y+22)| For Private and Personal Use Only

Page #91
Shri Mahavir Jain Aradhana Kendra 74 5 kara (2) a + 4 aka - ka + 5 aka 5 kara (ka) + 5 ka ( ka) = ( + 5ka) (- ka) 1 (3) ghare + ya + 10 ya + 282 - 2ya - 4+5+ 10 ya e (ya + 2) - 28 (ya +2) + 5 ( + 2) (ya e - 28 + 5) (ya +2) / 1 (4) + 4 ka + 3 ka ( + 2ka) 2 - ka www.com www.kobatirth.org (6) + 6 ka + 12 prakIrNaka | i ( -- (5) tha* + yala +la' = ya' + 2ya ela' + la' - yala = = (ya e + la e) 2 - (yala)= (ya e + yala + la e) (ya e-yala + 'la') / + 6 ka +12 ( + 2ka) 3 - kare - + 8 ka + 4 kara (+3ka) ( + ka) / Acharya Shri Kailassagarsuri Gyanmandir + 7 kare ka + 8 kare - kare {(a + 2ka) + (a + 2ka) ka + ka e} ( + ka) + 5 ka + 7 ka e) (+ka) / [6] jisa bahuyukpada ko sudhAra ke likhane se usa ke Adi meM jo mukhya akSara kA ( vA mukhya pada kA ) saba se bar3A ghAta hogA usa kA vArayotaka 1 ho aura anta ke pada meM mukhya akSara (vA pada) ko na ho vaha bahuyuSapada jo kisI dviyukpada se niHzeSa hone ke yogya ho to usa dviyukpada ke jAnane kA prakAra / uddiSTa bahupada ko sudhAra ke likho arthAt usa meM mukhya tara ke (vA kisI mukhya pada ke ) ghAtoM ke ghAtamApaka krama se ghaTate hue raheM yoM banA ke likhA taba anta meM jo pada aisA hogA ki jisa meM mukhya akSara (vA pada) koi na ho vaha jitanI zrRGkAtmaka vA bIjAtmaka saMkhyAtroM se niHzeSa hotA ho arthAt usa ke jitane apavartana hoM una meM hara eka apavartana ko dhana aura RNa mAna ke usa ko usa mukhya akSara ( vA pada) ke samAna mAnA aura usa se uddiSTa pada meM mukhya jAtara (ghA pada) kA For Private and Personal Use Only

Page #92
prakIrNaka / utthApana karI / isa utthApana se jisa apavartana se uddiSTa pada kA mAna zUnya hove usa ko mukhya akSara (dhA pada) meM ghaTA deo so antara usa udviSTa pada kA eka khaNDa hogA arthAt usa antara se vaha uddiSTa pada niHzeSa hogaa| udA0 (1) ya2-7 ya+10 isa kA jo dviyukpada khaNDa ho usa ko alaga kro| yahAM anta ke 10 isa pada ke 1, 2, 5 aura 10 itane apavartana haiM ina meM pahile ya=+1 mAna ke utthApana karane se 12-741+10-1-7+ 10 = 4 / phira ya = - 1 mAna ke utthApana karane se (-1)+9x1+10=1+ +10= 18 / phira ya = +2 mAna ke utthApana se 22-742+ 10 = 8-14 + 10 = 0 ... yoM 2 isa dUsare apavartana se uddiSTa pada kA mAna * hotA hai __.. ya -2 yaha uddiSTa pada kA eka khaNDa hai| isI bhAMti ya =+5 mAna ke utthApana se 52-745+ 10 = 25 --35+ 10 = . . yoM 5 isa tIsare apavartana ko ya ke samAna mAnane se bhI uddiSTa pada kA mAna * hotA hai| :: ya-5 yaha bhI uddiSTapada kA eka khaNDa hai| isa prakAra se ya-7ya + 10 = (ya-2) (ya-5) yoM khaNDa alaga hue / udA0 (2) * ya +2 ya-ya-6 isa meM jo khaNDa dviyukpada hoM unako alaga kro| For Private and Personal Use Only

Page #93
Shri Mahavir Jain Aradhana Kendra DE prakIrNaka / isa meM anta ke 6 isa pada ke 1,2,3 aura 6 ye cAra apavartana haiM ina meM - 1,2 ra 3 ina tInoM ko ya ke samAna mAna ke uddiSTa pada meM gha kA alaga 2 utthApana karane se uddiSTa pada kA mAna * hotA hai / isa liye uddiSTa pada meM ya + 1, ya 12 aura ya + 3 ye tIna khaNDa haiM : +2 - 56 - 6 = (ya + 1) (ya - 2) (ya + 3) / udA0 (3) ya' - re - 40 yukpada hoM una ko alaga karo / udA0 (4) ya - 78 + una ko alaga karo / www.kobatirth.org isa meM anta ke 21 isa pada ke 1, 3, 0 aura 21 itane apavartana haiM ina meM kevala + 3 aura - 0 ina do apavartanoM se utthApana karane se uddiSTa pada kA mAna hotA hai / isa liye ya 3 aura ya +9 ina donoM dviyukpadoM se uddiSTa pada niHzeSa hogA / 0 : - 3 - 40 ya e + 109 ya - 21 = (ya- 3) (+3 ) (gha2 - 58 + 1) / - 12 isa meM jo khaNDa dviyukpada hoM pada dRDha hai yahAM anta ke 12 isa pada ke 1, 2, 3, 4, 6 aura 12 itane apavartana haiM ina meM cAho usa apavartana se utthApana karo to bhI uddiSTa pada kA mAna zUnya nahIM hotA isa liye yaha bahuyukpada kisI dviyukpada se niHzeSa na hogA | aura jaba ki isa meM mukhya akSara kA saba se bar3A ghAta ghana hai isa liye yaha aura bhI kisI se niHzeSa na hogA isa liye yaha uddiSTa I Acharya Shri Kailassagarsuri Gyanmandir isa prakAra kI upapatti / + 1096 - 21 isa meM jo khaNDa dvi jaba ki (ya- a) (ya-ka) = yara ( + ka) ya + ka -- (gha) (ya-ka) (ya-ga) = ya - (a + ka+ga) ya + (aka + a + kaga) ya - akaga, ityAdi / isa meM spaSTa dikhAI detA hai ki ya- a, ya * ka ityAdi aise dviyukpadoM For Private and Personal Use Only

Page #94
prakIrNaka | ke guNanaphala maiM Adi meM kevala ya kA ghAMta rahatA hai aura usa kA bArayotaka 1 hotA hai aura anta meM a, ka ga ityAdiyoM kA guNanaphala rahatA hai / isa liye aise bahuyukpada kA jo ya aisA koi khaNDa ho to usa pada kA prakaga yaha anta kA pada avazya a se niHzeSa hogA aura jo ya ke samAna ko mAno to ya a kA mAna zUnya hogA aura taba jisa kA khaNDa tha - a hogA usa bahuyukpada kA mAna bhI hogA kyoMki zUnya se cAho usa ko guNa deo to bhI guNanaphala zUnya hi hotA hai isa se ukta prakAra kI upapatti spaSTa hotI hai / zUnyaH isI bhAMti jaba ki (ya- ka) (gaya - gha) = gaya e - (agha + kaga) ya + kagha, ityAdi / .... - taba isa prakAra ke bahuyukpada kA arthAt jisa meM ya ke saba se bar3e ghAta kA bhI 1 chor3a aura koi vArayotaka ho usa bahuyukpada kA jo ya ka aisA eka khaNDa ho to aya ka = karane se atha Acharya Shri Kailassagarsuri Gyanmandir - = For Private and Personal Use Only 51, - ka na arthAt ya = hogA / isa liye jo ya ke samAna mAno to ya yaha dviyukpada zUnya hogA aura yaha jisa bahuyukpada kA khaNDa ho vaha bhI avazya * hogA | isa se yaha siddha hotA hai ki ukta prakAra ke uddiSTa bahuyukpada meM Adi meM jo vArayotaka ho usa ke saba apavartana jAno aura anta ke pada ke bhI saba apavartana tthhraao| phira hara eka Adi ke apavartana kA hara eka anta ke apavartana meM alaga 2 bhAga dene se jitanI labdhi AveMgI una meM jisa labdhi ko dhana vA RNa mAna ke vaisI labdhi ko mukhya akSara ke samAna karake utthApana karane se uddiSTa pada kA mAna zUnya hogA usa labdhi ke cheda se mukhya akSara ko guNa ke usa guNanaphala meM usa labdhi kA aMza jo labdhi ke anusAra dhana vA RNa hogA usa ko ghadA deo so antara uddiSTa pada kA eka khaNDa hogA /

Page #95
prakIrNaka / udaa0| 3 ya + 4 ya+ 11 ya - 10 isa bahuyukpada ke khaNDa kro| . isa meM Adi ke 3 isa vAradyotaka ke 1 aura 3 ye do apavartana haiM aura anta ke 10 isa pada ke 1, 2, 5 aura 10 ye cAra apavartana haiN| ina meM Adi ke 3 isa apavartana kA anta ke 2 isa apavartana meM bhAga dene se jo yaha labdhi pAtI hai isa ko dhana mAna ke vaisI ko no ya ke samAna karake utthApana karo to uddiSTa bahuyukpada kA mAna zanya hotA hai isa liye ukta prakAra se 3 ya-2 yaha uddiSTa pada kA eka khaNDa hotA hai| :.3ya 4 ya+11ya-10 = (3 ya-2) (ya+2 +5) / abhyAsa ke liye udAharaNa / (1) ya +11 ya+30 = (ya+5) (y+6)| (2) ya-16 ya +63 = (ya-7) (y-6)| ya+2 aya-8a = (ya+4 a) (ya -2 a)| (4) ya+14 ya+63 ya+60 = (ya + 3) (ya+5) (ya +6) / (5) ya3-5 yara-22 ya+56 = (ya-2) (ya+4) (y-7)| (E) ya-23-11 -20 =(ya-5) (ya+3ya+4) / (7) ya-28 ya+15 = (ya-5) (ya+5 -3) / (8) a +2 aka+ea = (a+3 ka) (ara-aka+3 kara) / () a- 2-18 = (a-3) (a+2 +6) / (10) a + azya-aya+3 ya = (a+3 ya) (a-ya) / (11) ya+ ayaH-25 ayara-26 azya +120 a . = (ya-2a) (ya+3a) (ya-4a) (y+a)| (12) a-10 +5 +14 = (a+1) ( -2) (a+9-7) / (13) ya-12 ya + 87 ya-60 = (ya-3) (yara - 4) (y2-5)| For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra (14) 6 + 172 - 30 - 56 www.kobatirth.org prakIrNaka / 2) (2 + 7) (3+4) / 42 / jo do rAzi 1 chor3a aura kisI eka hi rAzi se niHzeSa bhAge nahIM jAte una ko paraspara dRDha kahate haiM aura jo bhAge jAte haiM una ko paraspara adRDha kahate haiM / - yahAM, ga 43 / koi do rAziyoM meM choTe rAzi kA bar3e rAzi meM bhAga dene se jo zeSa bacegA usa kA usa ke bhAjaka meM bhAga deo taba jo dUsarA zeSa bacegA usa kA phira usa ke bhAjaka meM bhAga deo / yoM una do rAziyoM kA paraspara meM bhAga dene se jisa zeSa se usa kA bhAjaka niHzeSa hogA usa zeSa se ve donoM rAzi niHzeSa bhAge jAveMge aura usa se bhAge hue ve do rAzi paraspara dRDha hoMge / ka) a (ta kata - mAno aura ka ye do rAzi haiN| ina meM rAzi ka se bar3A hai aura mAno ki meM ka kA bhAga dene se ta labdha hotA hai aura ga zeSa rahatA hai phira ga kA ka meM bhAga dene se tha labdha hotA hai aura gha zeSa rahatA hai / phira bhI gha kA ga meM bhAga dene se da labdha hotA hai aura Sa kucha nahIM banatA hai / isa kA nyAsa dikhalAte haiM / * ga) ka (tha gatha gha) ga (da ghada Acharya Shri Kailassagarsuri Gyanmandir to yahAM gha se aura ka ye donoM niHzeSa hoveMge / isa kI upapatti isa bhAMti spaSTa hotI hai / ghada = 0 : pakSAntaranayana se, 01 ga For Private and Personal Use Only ghada |

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Shri Mahavir Jain Aradhana Kendra ka gha, aura a kala = ga, = ta + tathada + da) gha gatha Birdie aura meM gha bar3A 1 .. p R gha - ka 5. zra yahAM spaSTa dekha par3atA hai ki gha se a aura ka ye donoM bhI niHzeSa: hote haiM / - kata gatha = phaca prakIrNaka ka = gha + gatha ga + kata a aura ka ina ko jitane rAzi niHzeSa karate hoMge una sabhI hai 1 www.kobatirth.org kyoM ki jo yoM na mAno aura kahA ki aura ka ina ko niHzeSaH karanehAroM meM sabhoM meM bar3A rAzi ca hai aura isa kA aura ke meM alaga bhAga dene se krama se pa aura pha ye do labdha hote haiM / to = paca, aura ka phaca hogA: - paca gha + ghadatha = (1 + yada) gha / Acharya Shri Kailassagarsuri Gyanmandir ghada + ta (1+ yada) gha - taphaca tha ( pa - tapha) ca (pha - ( pa - tapha) ca / aura thapa + tathapha) ca / isa se spaSTa prakAzita hotA hai ki ca se ghana hotA hai / toca saba se bar3A nahIM ho sktaa| isa liye aura ka ina ko niHzeSa: karanehAroM meM gha saba se bar3A hai. yaha siddha huA / isa ko aura ka kA mahattamApavartana kahate haiM / aura isI liye isa se bhAge hue aura ka ye do rAzi phira 1 chor3a kisI dUsare eka hi rAzi se niHzeSa na hoMge arthAt ve dRDha hoMge / zrIyuta bhAskarAcAryajI ne bhI lIlAvatI aura bIjagaNita ke kuchakAdhyAya meM kahA hai ki parasparaM bhAjitayeoryayArthaH zeSastatheoH syAdapavartanaM saH / tenApavartena vibhaajit| yau tau bhAjyahArI dRDhasaMjJako staH // - yaha rekhAgaNita ke sAtaveM adhyAya ke dUsare kSetra meM bhI kSetra rIti se siddha kiyA hai / For Private and Personal Use Only

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prakIrNaka / 1 anumAna 1 / do rAziyoM kA paraspara meM bhAga dene se jo hara eka bhAgahAra meM bhAjya bhAjaka rahate haiM una kA bhI mahasamApavartana vahI hotA hai jo una do rAziyoM kA mahattamApavartana hai / 426) 612 (1 426 jaisA / 426 aura 612 ina ke mahattamApavartana ke liye ina kA paraspara meM bhAga dene kA nyAsa | 186) 426 (2 372 54) 186 (3 162 24) 54 (2 48 Acharya Shri Kailassagarsuri Gyanmandir 6) 24 (4 24 isa prakAra se 426 aura 612 ina kA mahattamApavartana 6 hai / aba yahAM hara eka bhAgahAra meM 426 aura 186, 186 aura 54, 54 aura 24 aura 24 aura 6 ye jo bhAjya bhAjaka haiM ina kA bhI mahattamApavartana 6 yahI hai / anumAna 2 | do rAziyoM ko jo koi tIsarA rAzi niHzeSa karatA ho vaha una do rAziyoM ke mahattamApavartana ko bhI niHzeSa karegA / anumAna 3 / jo do rAzi paraspara dRDha haiM arthAt 1 chor3a kisI anya eka hi rAzi se niHzeSa nahIM hote una kA paraspara meM bhAga dene se anta kA bhAnaka 1 hogA / 44 / jo aura ke ina do rAziyoM kA caka guNanaphala ga kA vartya arthAt ga se niHzeSa hone ke yogya ho aura ka aura ga ye do paraspara dRDha ho to ga se a niHzeSa hogA / For Private and Personal Use Only

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prakIrNakaH / isa kI upapatti / jaba ki ka aura ga paraspara dRDha haiM to ina kA paraspara meM bhAga dene se anta kA bhAjaka avazya 1 hogA / so aisA ka) ga (ta ghatha ca) ghada cada 1) ca (ca yahAM, ga-kata-gha, ka-ghatha = ca, aura gha-cada = 1 / :: aga --akta = agha, akra - apatha = aca aura agha - acada aba :: aka yaha ga se niHzeSa hotA hai / agha bhI ga kA apavartya hai, - :: aca bhI ga kA apavartya hai, aura :: ga se aniHzeSa hogaa| yaha siddha huaa| yaha upapatti ga ko ka se bar3A mAna ke dikhalAI isI bhAMti ka ko ga se bar3A mAna ke bhI spaSTa hotI hai / isa kI prakArAntara se upapatti dikhalAte haiN| jaba ki ka aura ga ye paraspara dRDha haiM taba jo ina donoM ko ase guNa deo to spaSTa hai ki aka aura aga ina do guNanaphaloM kA maha. samApavartana a hogA (pra * 43) aura aka yaha ga kA apavartya mAnA hai aura aga yaha ga se niHzeSa hotA hi hai| isa liye jaba ki aka aura aga ina donoM ko ga niHzeSa karatA hai taba (43) ve prakrama ke dUsare anumAna se siddha hotA hai ki ga yaha aka aura aga ina ke mahattamApavatana ko arthAt ako bhI niHzeSa kregaa| yoM upapanna huaa| For Private and Personal Use Only

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prakIrNaka / ..jaisA / 5aura 6 ina kA guNanaphala 30 hai / yaha 3 se niHzeSa hotA hai aura 5 aura 3 ye paraspara dRDha haiM to 6 yaha saMkhyA 3 se niHzeSa hogii| .. isI bhAMti jo pra-kara yaha ga se niHzeSa hotA hai aura a-ka yaha ga se dRDha hai to a+ ka yaha avazya ga se niHzeSa hogaa| arthAt do rAzioM ke vargoM kA antara jo kisI tIsare rAzi se niHzeSa hotA ho aura vaha tIsarA rAzi una do rAziyoM ke antara se dRDha ho to una do rAzioM kA yoga avazya usa tIsare rAzi se ni:zeSa hogA / 45 / jo a aura ka ye do rAzi pratyeka ga se dRDha hoM to una kA aka guNanaphala bhI ga se dRDha hogaa| __ kyoM ki jo aisA na ho arthAta ga aura aka ye donoM gha se niHzeSa hote hoM to gha yaha aaura ka ina donoM se dRDha hogA (kyoM ki ga una donoM se dRDha hai) aura gha se aka apavartya hai aura ase dRDha hai| isa liye Upara ke prakrama se ka yaha gha se niHzeSa hogaa| parantu ka to gha se dRDha hai sA kyoM kara niHzeSa hogA? isa liye aka yaha ga se dRDha nahIM so nahIM kintu dRDha hi hai| rekhAgaNita ke sAtaveM adhyAya ke caubIsave kSetra meM isa kI upapatti kSetrarIti se bhI dikhalAI hai| jaisA / 6 aura 8 pratyeka 5 se dRDha haiM to 648 arthAta 48 yaha guNanaphala bhI 5 se dRDha hogaa| isI bhAMti / no a+ka aura a-kaye donoM ga se dRDha hoM to a- kare yaha bhI ga se dRDha hogaa| anumAna 1 / no arAzi ka, ga, gha ityAdi pratyeka rAzi se dRDha ho to vaha ka, ga, gha ityAdioM ke guNanaphala se bhI dRDha hogaa| - kyoM ki jaba a yaha ka aura ga se dRDha hai to vaha kayaM isa guNAnaphala se bhI dRDha hogA aura jaba a yaha kaga aura gha se dRDha hai to yaha una ke kagagha guNanaphala se bhI dRDha hogaa| aisA hi Age bhI jaanaa| For Private and Personal Use Only

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g prakIrNaka / jaisA / 12 yaha saMkhyA 5, 7 aura 11 ina tInoM saMkhyAoM se dUTha ho to 547 x 11 arthAta 385 yaha saMkhyA bhI 12 se dRDha hogii| anumAna 2 / jo a yaha ka se dRDha ho to vaha kara, kare, ka' ityAdikoM se bhI dRDha hogaa| kyoM ki jaba a yaha ka aura ka se dRDha hai to vaha una ke guNanaphala se arthAt kara se bhI dRDha hogaa| isI bhAMti Age bhI jaano|. jaisA / 4 yaha saMkhyA 3 se dRDha hai to 6, 17, 81 ityAdi saMkhyAko se bhI 4 yaha saMkhyA dRDha hogii| anumAna 3 / no a, ka, ga ityAdi pratyeka ta, tha, da ityAdikoM se dRDha ho to a, ka, ga ityAdioM kA guNanaphala bhI ta, tha, da ityAdioM ke guNAnaphala se dRDha hogaa| ___ kyoM ki jaba a, ka, ga ityAdi pratyeka ta, tha, da ityAdikoM se dRSTha haiM to pahile anumAna se akaga ityAdi yaha guNanaphala bhI ta, tha, da ityAdikoM se dRDha hogaa| aura isI liye akaga ityAdi yaha guNanaphala bhI tathada ityAdi isa guNanaphala se dRDha hogA / jaisA / 3, 4 aura 5 ye tInoM saMkhyA 9, 11 aura 13 ina tInoM saMkhyAoM se dRDha haiM to 3 4 4 4 5 anIt 60 yaha saMkhyA 74114 13 arthAt 1001 isa saMkhyA se dRDha hogii| anumAna 4 / jo a yaha ka se dRDha ho to are, are, a' ityAdi pratyeka kara, kare, ka ityAdikoM se dRDha hoNge| . - kayA ki jaba a yaha ka se dRDha hai to (2) re anumAna se are, are ityAdi saba pratyeka ka me dRDha hoNge| aura isI liye are, are, ityAdi saba hara eka kara, kare ityAdikoM se dRDha hoNge| jaisA / 2 aura 3 ye paraspara vRr3ha haiM to 4, 8, 16 ityAdi saMkhyA bhI pratyeka 6, 20, 81 ityAdi pratyeka saMkhyA se dRr3ha hogii| For Private and Personal Use Only

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mahattamApavartana | adhyAya 3 / ----------------$($at Acharya Shri Kailassagarsuri Gyanmandir isa meM bIjAtmaka padoM kA mahattamApavartana aura laghutamApavartya jAnane ke prakAra haiM / 1 mahattamApavartana / 46 / jo do vA bahuta pada jitane padoM se apavartya haiM utane una padoM ke apavartana kahalAte haiM aura una apavartanoM meM jo saba se bar3A haiM usa ko una do vA adhika padoM kA mahattamApavartana kahate haiM / dae jaisA / akaga aura kagagha ina do padoM ke ka, ga aura kagu itane - apavartana haiM aura ina sabhoM meM kama saba se bar3A hai isa liye yaha una do padoM kA mahattamApavartana hai / isI bhAMti akagara, agayara aura gayarala ina ke ga, ra aura gara itane apavartana haiM paraMtu ina meM gara sabhoM se bar3A hai isa liye yaha mahattamApravartana hai / jAnanA cAhiye ki yahAM mahattamApavartana karane se bhI vaha apane padoM ko niHzeSa kara sakatA hai para sarvadA mahattamApavartana ko dhanAtmakaH hi mAnate haiM / 47 / jo bIjAtmaka kevalapadoM kA mahattamApavartana jAnanA ho to vaha una padoM ko bicAra ke dekhane se turanta jJAta hogA / jaisA nIce likhe hue udAharaNoM meM / udA0 (1) 24 aya era aura 16 yarala ina- kA mahattamApavartana vya hai / kyoMki 24 aya = 8 6232 X 3 grara aura 16 gharela = 8 12 x 2 yala yahAM 3 para aura 2 yala ye dUsare avayavaH paraspara. dRDha For Private and Personal Use Only 1 udA0 (2) 15 Rka, 10 kaya aura 20 kareM ina kA mahattatApavartana 5 hai isakA bhI kAraNa vahAM hai /

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mahattamApavartana / . udA0 (3) 3 aka (ya-ra) aura agha (ya - ra)2 ina kA mahattamApa. dhartana a (ya - ra) hai| .. udA0 (4) 2 (a+ 2)2 (a+30), 3 (a+ ka) (a+3 ka)2 aura 5 (+ ka)2 (a+3 ka) ina kA mahasamApavartana (a+ ka) (+3 ka) yaha hai| 48 / bIjAtmaka do saMyuktapadoM kA mahattamApavartana nikAlane kI rIti / * pahile uddiSTa padoM ko sudhAra ke likho phira saMbhava ho to una donoM meM aise eka hi kevalapada kA ni:zeSa bhAga deo ki jisa se bhAge hue udviSTa pada phira kisI eka hi kevalapada se niHzeSa hone ke yogya. na rheN| yoM niHzeSa bhAge hue uddiSTa padoM ko laghupada kaho / aura donoM uddiSTa pada yadi kisI eka hi kevalapada se niHzeSa hone ke yogya na hoM to uddiSTa pada hi laghupada kahAveM / - phira una do laghu padoM meM jisa eka pada meM dUsare kA bhAga laga sake usa meM bhAga deo taba jo zeSa bacegA usa kA usa ke bhAjaka meM bhAga o phira bhI jo zeSa bacegA usa se phira vahI vidhi karo yoM una laghupadoM kA paraspara meM bhAga dene se jisa zeSa se usa kA bhAjaka niHzeSa hogA vaha una do laghupadoM kA mahattamApavartana hai| aba jo uddiSTa pada hi laghu hoM to una kA mahattamApavartana yahI hogA aura jo uddiSTa pada laghu na hoM arthAta bhAge hue udiSTa pada laghu ho to usa bhAjakarUpa kevalapada meM una laghupadroM ke mahattamApavartana ko guNa deo vaha guNanaphala uddiSTa padoM kA mahattamApavartana hai| __ yahAM laghupadoM kA mahattamApavartana nikAlane kI jo rIti likhI hai usa kI upapatti (43) ve prakrama se spaSTa prakAzita hotI hai| aba jo uddiSTa pada hi laghu hoM to jo laghupadoM kA mahattamApavartana hai so hi uddiSTa padoM kA hogA aura no bhAge hue uddiSTa pada laghu hoM to For Private and Personal Use Only

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samAvartana | yahAM laghuSoM kA mahattamApavartana bhI bhAgA huA AvegA isa liye isa ko usa bhAjakarUpa kevalapada se guNa dene se vaha guNanaphala uddiSTa padoM kA mahattamApavartana hogA yaha spaSTa hai / 1 Acharya Shri Kailassagarsuri Gyanmandir yahAM laghupadoM kA paraspara meM bhAga dene meM hara eka bhAjaka jisa pada se niHzeSa bhAgA jAtA hogA (jo pada usa bhAjaka ke bhAjya se dRDha ho) usa kA bhAga de ke phira usa bhAge hue bhAjaka se kriyA ko bar3hAo aura hara eka bhAgahAra meM jo labdhi kA vArayotaka bhitra ane ke yogya ho to bhAjya ko aise eka choTe pada se guNa deo ki jisa se labdhi kA vAraka abhinna Ave aura jo guNaka rUpa choTA pada bhAjaka se dRDha hotre phira pUrvavat kriyA karo | 58 ina do vizeSa vidhiyoM ko kahane kA kAraNa yaha hai ki ina se labdhi abhinayAtI hai aura isI liye gaNita meM gaurava nahIM hotA aura ina se mahattamApavartana meM kucha antara nahIM hotA isa kA kAraNa yaha hai / For Private and Personal Use Only kyoM ki a aura mAno ki aba aura kagha dUna kA mahattamApavartana gha hai to aura ka ye avazya paraspara dRDha hoMge aura ga eka rAzi se dRDha hoto agha aura kagadha ina kA mahattamApavartana gha hI hogA kaga ye bhI donoM (45, ve prakrama se paraspara dRDha hoNge| isa se spaSTa hai ki jina do rAziyoM kA mahattamApavartana nikAlanA hai una do rAziyoM maiM eka rAzi ko jo kisI tIsare rAzi se guNa deo vA bhAga deo jo rAzi una do rAziyoM meM dUsare rAzi se dRDha ho aura phira vaha guNA huA vA bhAgA huA pahilA rAzi aura kevala dUsarA rAzi ina kA mahattamApavartana nikAlo to bhI vaha una do rAziyoM ke mahattamApavartana ke samAna hi hotA hai / aba isa se aura (43) ve prakrama ke pahile anumAna se vizeSa vidhiyoM kI upapatti spaSTa prakAzita hotI hai / udA0 (1) 6 + 2 - 44 ya + 10 aura 28 + ya - 15 ina kA mahamApavartama kyA hai ?

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Shri Mahavir Jain Aradhana Kendra da www.kobatirth.org nyAsa, 2ya e + ya - 15 ) 6 ya e + mahattamApavartana | yahAM anta kA bha kA mahattamApavartana * 63 + 32 - 45 ya - 201 + - 282 - phira, 2- 5) 2 + ya 15 ( 8 + 3 zya2-5 ya 6 ya - 15 6ya - 15 ya e - 44 y + 10 (38 - 1 2- 5 yaha hai, isa liye yaha uddiSTa padoM - udA0 (2) 3+kara+kare aura + 3 ka + 3 kara + 2 kareM ina kA mahattamApavartana kyA hai ? nyAsa, a* + a eka - aka + 2ka) + 3 a + Acharya Shri Kailassagarsuri Gyanmandir a + 2ka) * + aka + ka ka ka + 2 ka 2ya - 5 cakara ya + 10 ya + 15 ka + 3 ka - 2 ka + 4 kara 'aba yaha zeSa bhAjaka hogA para yaha 2 graka me niHzeSa hotA hai aura 2zeSa rUpa bhAjaka ke bhAjya se bhI dRr3ha hai isa liye zeSa meM 2 ka kA bhAga' dene se / ka + 2 kara cAka + 2kare akara + 2 kare - ka + kara ( For Private and Personal Use Only ka + 2 (1 ka + 2 kare

Page #106
mahattamApavartana / isa liye yahAM a+2ka yaha mahattamApavartana hai| udA0 (3) 3ya3 - 10 52+10ya-7 aura raya+3ya-3ya+5 ina kA mahattamApavartana kyA hai ? __ yahAM uddiSTa padoM meM kisI eka kA dUsare meM bhAga dene se labdhi bhiva AtI hai| isa liye pahile uddiSTa pada ko bhAjya mAna ke usa ko do se guNa ke kriyA ko bddhaao| 313-10 ya+103-7 2 ya+352-3ya+5)653-2032+20 ya-14 (3 653+ (ya-9 ya+15 * -29 ya+saya-29 zeSa meM - 29 kA bhAga dene se yara-ya+1)2ya +3ya-35+5(2ya+5 233-ya+2ya 5ya-5 ya+5 552-5 ya+5 isa liye yahAM mahattamApavartana ya-ya+1 yaha hai| udA0 (4) 12ya - 48 ya+39 ya+yara aura 6ya - 20 ya +57 53 -- 45 yaduna kA mahattamApavartana kyA hai? - grahAM donoM uddiSTa pada 3ya se niHzeSa hote haiM so aise 12 ya5 - 48 ya + 39 yA + ya =3 yara (4 ya-- 16 ya+ 13ya +3), 6ya-27 ya+57 ya3 --- 45 52 = 3yara (sya- ya+19ya-15) / .:. yahAM 4 ya - 16 ya+13 ya+3 aura 2ya -- 8 ya + 19 ya-15 ye laghupada haiM ina kA paraspara meM bhAga dene ke liye nyAsa,... For Private and Personal Use Only

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samAvartana | 2 26 - 9ya e + 1ltha - 15) 48 - 1681 + 138 + 3 ( 403 - 1882 + 380-30 3 kA bhAga dene se 20 - 256 + 33, phira, 2 - 25+33) 283 - 9 ya e + 19 ya - 15 ( ya + 8 ya. 23 - 258 + 33 1682 - 14 ya - 1682 - 200 + 264 - 15 186 ya - 209 * 2ya - 3) 282 - 25 ya + 33 ( ya. 282 - 3 ya - 22 ya + 33 22ya +33 Acharya Shri Kailassagarsuri Gyanmandir c ( apapha) yara (aghapa isa liye yahAM 2 - 3 yaha laghupadoM kA mahattamApavartana hai aura .. 3ya e (zya - 3) bA, 6 ya-ya, yaha uddiSTa padoM kA mahattamApavartana hai / .11. udA0 (5) ya + (-gha) tha e - (agha + ka) ya + kadha aura payare - (pagha - pha) ya - ghapha ina kA mahattamApavartana kyA hai ? nyAsa | ya + (- gha) ya - (adha + ka) ya + kagha pa patha 3 + ( pa - ghapa ) tha e - (adhapa + kapa) ya + kapa patha - ( padya - pha) ya - ghapha) payaH + (apa - ghapa ) ghara - ( ghapa + kapa ) ya + kathapa (gha patha (pagha - pha) yara - ghaphaya ghapha + kapa) ya + kaghapa For Private and Personal Use Only pa payara - (pagha-pha) ya - ghapha) (apa - papha) - (aghapa - ghapapha + kapa ) ya + kapa (apa - pha ( apa * - papha ) ya - ( agha - adhapha - ghapapha + pha) ya- adhapapha +ghapha - ( apapha + kapa-pha) ya + zradhapapha + kacava - ghaphara (apapha + kapa - pha) isa kA bhAga dene se

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mahattamApavartana / 4-gha) paya- (pagha - pha) ya -- ghapha (paya + ph| payara-ghapaya +phaya-pha +phaya-ghapha - :. yahAM ya- gha yaha mahattamApavartana hai| udA0 (6) a+3 aka+2 kara-2 aga -kaga - 3ga aura 3 ara + aka --2 ka +8 aga-kaga+gara ina kA mahattamApavartana kyA hai? yahAM uddiSTa padoM ko sudhAra ke pahile pada kA dUsare meM bhAga dene se A+(3ka-2ga) a+rakara-kaga-3ga) 3+(ka+4ga)a-2kara-kaga+gara (3 a+eka-6ga)a+6kara 3kaga-gara -(-10ga)a-8kara+rakaga+10gara - (ka-10 ga) isa kA bhAga dene se a+ka+ga) + (3ka-2ga) a+2kara-kaga - 3 gara(a+2 -3ga a+ (ka+ ga) (2ka-3ga) +2kara-kaga-3 gare (2ka-3ga) +2kara-kaga-3gara :. yahAM a+ka+ga yaha mahattamApavartana hai|| abhyAsa ke liye aura udAharaNa / (1) ya+zya+6 aura ya+6+dana kA mahattamApavartana kyA hai? uttara, y+2| (2) ya+ya - 20 aura yara- 11ya +28 dUna kA mahattamApavartana kyA hai? ... uttara, y-4| For Private and Personal Use Only

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mahattamApavartana / (3) 23+7 ya+6 aura ya+ya-2 ina kA mahattamApavartana kyA hai? uttara, y+2| (4) yara+7 ya-8aura ya3-4 ya+10ya-7 ina kA mahattamApavartana kyA hai? - uttara, y-1| (5) ya- ya+ 14 aura 2ya-ya-11 ya + 10 dUna kA mahattamApavartana kyA hai? uttara, y-2| (E) ya+13ya+ 36 aura 5ya + 13 ya2-26 ya+dana kA mahasamApavartana kyA hai? uttara, y+4| .. (7) ya-- 4 ya2-26 ya+ 35 aura ya-- 11 yara + 29 ya - 7 ina kA mahattamApavartana kyA hai? ____ uttara, y-7| . (5) ya+3 ya-18 ya aura 3 ya-13 ya + 17 ya - 15 ina kA mahattamApavartana kyA hai? uttara, ya-3 / (9) ya+ yA+25 ya+25 aura ya+8ya18ya+ 15ina kA mahattamApavartana kyA hai? _. uttara, y+5| (10) ya+2 yara-8yara + 52 aura ya - 3 yara+5 yara - 3 ra dUna kA mahattamApavartana kyA hai? uttara, y-r| (11) 21-17 ya+ 22 ya-7 aura 3 ya - 23 yara +18 ya-28 duna kA mahattamApavartana kyA hai? .. uttara, y-7| For Private and Personal Use Only

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mahasamAvartana | (12) are are - 6 kare aura mApavartana kyA hai ? uttara, -2ka / (13) 38 - 35 82 + 60 dUna kA mahattamApavartana kyA hai ? uttara, ya -6 / 3 3 ka + 4 kare ina kA mahatta Acharya Shri Kailassagarsuri Gyanmandir - 150 aura 26 - 062 - 40 + 102 (14) ya + aya - 20 + 18 aura ya + 13 a + 40 ya - 12 are ina kA mahattamApavartana kyA hai ? - uttara, ya+6 / (15) ya3 - 562 - 192 aura gha3 - 50 ya - 56 ina kA mahattamApavartana kyA hai ? uttara, ya - 6 / (16) 282 + 3.61 - 38-9 aura 2 + 368-6 na kA mahattamApavartana kyA hai ? uttara 28-3 / (12) 6 - 2 - 178 + 42 ra 96 - 49 ya dUna kA mahattamApavartana kyA hai ? uttara, 38+7 / (18) 3 ya e + 168-74 ya + 65 aura 60 - 31 ya e + 65 - 50 dUna kA mahattamApavartana kyA hai ? 38- 5 / uttara, (19) 202 - 96 - 81-52 ra 3 ghare + 17.62 + 30 ya + 28 ina kA mahattamApavartana kyA hai? uttara, ya + 4 / For Private and Personal Use Only

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mahattamApavartana / (20), 183+33 12-105 ya aura 16 ya+32 yara-84 ya ina kA mahattamApavartana kyA hai? .... uttara 2ya + 7 ya / ... (21) 3ya + 4 -6ya + 27 yara aura 43+14 +33. - ya ina kA mahattamApravartana kyA hai? uttara, ya+3 ya / " (22) 6ya+23yara+16 yara-3 aura kya-3yara-- yara+3 ina kA mahattamApavartana kyA hai? - uttara, . 2 +3r| (23) ya+ya +13 ya+5 aura ya+ ya + 10 yara-21 yaina kA mahattamApavartana kyA hai? uttara, ya+3 y+1| (24) ya+ya+10 +13ya+63 aura ya-ya+2122-46 ya+18 ina kA mahattamApavartana kyA hai? ... uttara, yara-2ya+ / . (25) 25-7 ya+6 +14 ya+ 323 aura 3ya -10 ya-ya + 125 ya +928 ina kA mahattamApavartana kyA hai ? uttara, ya-7 + 19 / (26) 3 +2ya - 16 ya+23 ya+24 aura ya+ ya +12 yara --14 ya - 15 bana kA mahattamApavartana kyA hai? uttara, y+3| (20) 4ya +32 yaH + 28 yara- 160 ya aura 35 + 6 ya-yara +105 ya dana kA mahattamApavartana kyA hai? uttara, ya+5ya / For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra samAvartana | 9 (28) 115 - 14 ya* + + 2 ra 485 5 ya* + 1 iMna kA maha tamApavartana kyA hai ?. uttara ( ya - 5) 2 / uttara, ya 22 (29) 483 + 14 ya e + - 15 aura 6* + 8 + 1482 -88 - 15 ina kA mahattamApavartana kyA hai ? uttara (31) a 1 www.kobatirth.org ----- (30) 266 + ya' +0+6 aura 26 - 36 + 1 ina kA mahasamApavartana kyA hai ? (ya +1) / 1 / - 1682 + 38 ya - - Acharya Shri Kailassagarsuri Gyanmandir 64 ka + 54 - 45 ka aura + 4 ka 100 ra 75 ka ina kA mahattamApavartana kyA hai ? 22 ka- 15 ka / uttara, (32) 10 8 + 25 83 - 2982 - 35 ya + 21 aura 1584 - 20 83 7 ina kA mahattamApavartana kyA hai ? 502 - 7 / uttara, - (33) a - 4 a + 3 ya' aura ' + aya Aya + 7 yadUna kA mahattamApavartana kyA hai ? uttara, 2 - 2 atha + ya / (34) 6 yara + 5 - 5 13 + 19 ghara* - 511 aura "ya" + 6yara - 15 yaz + ghara " / uttara, 22 + 3 ghara - Rs 1 (35) 5+13 ka + a + 21 kare aura 2 ka + 10 + 13 a eka + 3 ka dUna kA maharumApabartana kyA hai? uttara, a + 3 ka / For Private and Personal Use Only

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mahattamApavartana / - (36) 15 yadeg + 35 ya+zaya 1 aura 25 ya+59 ya+ 36 yaH - ya + 1 ina kA mahattamApavartana kyA hai ? uttara, (ya + 1)3 / (37) 6a - 11 aya+13 azya - 37 agha +41 aya' - 12 yaH aura aya+32 azyaH -16 aya' + 43 aya' -20 yA dUna kA mahatta mApavartana kyA hai? uttara, 4 a +2 aya + 7 aya-4 yaH / (38) 2 ya-5 yara +3 yara - yara' + 3 yara - 8 yara + 3ra aura 5 -7 yara + 5 yara- ya3+5 ya* -- 2ya + 4 ina kA mahattamApavartana kyA hai? - uttara, ya - yA + yara- yA +r|| ____ (39) aya + (aca- ka) ya- (kaca - ga) ya + gaca, aura payaH + (paca+ka) ya2+ (phaca-ba) ya-baca dUna kA mahattamApavartana kyA hai? uttara, ya+ca / (40) aI-kara-2 akaga+ aga2-2kaga-2kagara- agara- gare aura a- aka-aka+ka-aga-agara+kareMga+ kaga+ ga dUna kA mahattamApavartana kyA hai? uttara, a-k-g| 46 / no uddiSTa padoM ke guNyaguNakarUpa khaNDa zIghra ho sakate hoM to una kA mahattamApavartana nikAlane kA prakAra dUsarA / ___ donoM udviSTa padoM ke alaga 2 khaNDa karo taba pahile pada ke khaNDoM meM jitane khaNDa dUsare pakSa ke khaNDoM meM hoMge una kA guNanaphala udviSTa padoM kA mahattamApavartana hogaa| __ udA0 (1) a-2 aka+akara-2 kara aura a2-4 kara ina kA mahattamApavartana kyA hai? For Private and Personal Use Only

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mahattamApavartana / yahAM, aI-aka+akara-2kAara (a-2ka)+kara (a-2ka) = (a+ kara) ( -2ka) aura a-4 ka = (+2 ka) (a-2 ka) / aba hara eka pada ke khaNDoM meM a-2 ka yaha khaNDa hai isa liye yaha uddiSTa padoM kA mahattamApavartana hai| udA0 (2) ya-ra aura ya - ra ina kA mahattamApavartana kyA hai? yahAM, ya-ra = (ya+ra) (ya3 - 23) = (ya + ra) (ya2.- yara + ra) (ya-ra) (ya+yara+ra), aura ya - ra" == (ya + ra) (ya-ra) = (ya+ra) (ya+ra) (y-r)| :: yahAM (ya + ra) (ya - ra) arthAt ya-ra yaha mahattamApavartana hai| udA0 (3) a + kaI aura a+ aka+ka ina kA mahattamApavartana kyA hai? nyAsa / a + ka = (ara-aka+kara) ( +ka) aura a+aka+ ka = a +2 aka+ka' - akara ___= (a+ kara)2 - (aka)2 = (a+ aka+kara) (ara-aka+kara) :: yahAM a- aka + ka yaha mahattamApavartana hai| udA0 (4) ya-3 yara +2raaura ya+ yara-ghara ina kA mahatta. mApavartana kyA hai? nyAsa / ya-3 yara +2ra = ya--2 yara-yara +za = (ya-2 yara)- (yara -2ra2) = ya (ya-2ra)-ra (ya-22) = (ya - ra) ya-22), aura ya2 + yara-6 = ya+3 yara-2 ghara-ghara = (ya+3 yara) - (2 yara +622) = ya (ya+3ra)-ra (ya+3ra) = (ya-2ra) (ya + 3r)| :: yahAM ya--2ra yaha mahattamApavartana hai| For Private and Personal Use Only

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. mahattamApavartana / udA0 (3) ya+ (pa + pha) ya+ papha aura yara- (2 ka-pha) ya-2 kapha ina kA mahattamApavartana kyA hai? nyAsa ya+ (pa+pha) ya+ papha ya+paya+ phaya+yapha = ya (ya+pa)+pha (ya+pa) == (ya+pha) (ya+4) aura yara-(2ka-pha) ya-2 kapha = yara-2kaya + phaya--2 kapha = ya (ya-2ka)+pha (ya-2ka) = (ya+pha) (y-2k)| :: yahAM ya+pha mahattamApavartana hai| udA0 (6) a+2 aka+kara- gare aura ara-kara+2 aga+gara ina kA mahattamApavartana kyA hai? nyaas| 2+2 aka+kara- ga = (a+ka)2- gare =(a+ka+ga)(a+ka-ga), aura ara-kara+2 aga+2== + aga+gara-ka= (+ga)-kara = ( +ka+ga) (a-k+g)| .. yahAM a+ka+ga yaha mahasamApavartana hai| abhyAsa ke liye aura udAharaNa / (1) aya-ayaaura aya+ayana kA mahattamApavartana kyA hai? uttara, azya + ayr| (2) ya+5 ya+6aura ya+6 + ina kA mahattamApavartana kyA hai? - uttara, ya+2 (3) are - 8a + 15 kare aura a- 10 a+ 21 kara ina kA mahattamApavartana kyA hai? ___uttara, a-3 ka / (4) ya+2 aya-35 a aura ya-25 aina kA mahattamApakara tana kyA hai? utsara, ya-5 / For Private and Personal Use Only

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mahattamApavartana / (5) + 4 aka +3 kara aura pra + ka dana kA mahattamApavartana kyA hai? uttara, gr+k| (6) ya' - ya2-2ya-1aura ya+ya+1dUna, kA mahattamApatra. sana kyA hai.. uttara, y+y+1| (7) ya% - 1. aura yaH -- ya- ya + 1 ina kA mahattamApavartana kyA hai? uttara, ya -1 / - (8) ya3-3 yara+yara-3ra3 aura ya-ra" ina kA mahattamApavasana kyA hai? uttara, ya+ra (9) a - 2 a.-4 aura a+8: dUna kA mahattamApavartana kyA hai? ___ uttara, a+2 +2 / (10) ya+ 8 aura ya' + 4 ya+ 16 ina kA mahattamApavartana kyA hai? ___ uttara, ya--2 ya+4 / (11) are- kare aura a+ (ka+ga) a+kaga ina kA mahattamApavartana kyA hai? __ uttara, a+k| (12) 32-2 yara+ra-la aura. ya- 1 2 yala+lara dUna kA mahattamApavartana: kyA hai? uttara, y-r+l| (13) ara+kara-ga+2 aka auraH are+kare+ga+3 aga +3 agara ina kA mahattamApavartana. kyA hai? uttara, a+k+g| (14) a + kare-gara-ghara-2 (aka - gagha) aura a-kara+gara - -2 (aga - kagha) ina kA mahattamApavartana. kyA hai? uptara, pr-k-g+gh| For Private and Personal Use Only

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100 mahattamApavartana / (15) pa +pha + bare +bha + 3 (papha + paphara + baraMbha + babha) aura pa + ka + bare + bha + 3 (paba+para+pha bha + phabhara) ina kA maha. tamApavartana kyA hai? uttara, pa+ pha+ba+bha / (16) ya16 - 216 aura ya12 - 212 ina kA mahattamApavartana kyA hai? uttara, ya-ra / 50 / tIna vA adhika padoM kA mahattamApavartana nikAlane kI rIti / * pahile do padoM kA mahattamApavartana nikAlo phira vaha mahattamApavartana aura tIsarA pada ina kA mahattamApavartana jAno / aisA hi vidhi phira bhI jitane pada hoMge utanI bera karo phira anta kA jo mahattamA. pavartana hogA so hi uddiSTa padoM kA mahattamApavartana hai| isa ko yukti isa bhAMti spaSTa hotI hai| mAno ki a, ka aura ga ye tIna uddiSTa rAzi haiM aura socA ki a aura ka ina kA mahattamApavartana gha hai aura gha aura ga ina kA mahattamA. pavartana ca hai to ca yaha a, ka aura ga ina kA mahattamApavartana hogaa| ___ kyoMki to aisA na ho tAta a, ka, aura gaina kA mahattamApavartana cha ho to yaha a aura ka ina ko niHzeSa karanehArA (43) ve prakrama ke dUsare anumAna se gha ko bhI niHzeSa karegA aura ga ko ni:zeSa karatA hi hai isa liye ca ko bhI niHzeSa karegA aura cha yaha ca se bar3A mAnA hai so isI ko niHzeSa karatA hai yaha asaMbhava hai isa liye aka aura ga ina kA mahattamApavartana ca hI hai isa se bar3A aura dUsarA kora nahIM ho sktaa| isI bhAMti cAra vA adhika uddiSTa padoM ke mahattamApavartana nikAlane meM bhI yukti jaano| udA0 (1) aga+kaga,aka+kara aura a-kAdUna kA mahattamA. pavartana kyA hai? For Private and Personal Use Only

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mahattamApavartana / yahAM aga + kaga aura aka+kare ina kA mahattamApavartana +ka hai aura a+ ka aura a- kara dana kA mahattamApavartana a+ ka hai isa liye yaha udiSTa padoM kA mahattamApavartana hai / udA0 (2) a-3 aya - aya+3ya, a- aya-5 aya+6ya aura 2 3 - 3 aya-8 aya- 3 ya ina kA mahattamApavartana kyA hai ? nyAsa / 3-3 azya-aya+333) a - 2 aya-5 aya+6(1 a-3 azya- aya+33 ya kA bhAga dene se aya - 4 aya+3ya a- 4 aya +3 ya) -3 azya - aya+3 ya (a+ ya a- 4 aya+3 ayara anya - 4 aya+33 aya-4 aya+3 isa liye a-4 aya + 3 yara yaha pahile do padoM kA mahattamApavartana hai| aba yaha mahattamApavartana aura tIsarA pada ina kA mahattamApadhartana nikAlane ke liye nyAsa / ara-3 aya+422)2 a-3 azya- aya-3 yaH (2+5ya 2 -8 areya+ ayara - 5azya-14 ayara-3 yaH 5 aya-20 aya+ 15 yare 2-18ya 6ya kA bhAga dene se, a-3 ya) -- 4 aya + 3 (a-ya ara-3 aya -aya+3yare -aya+3yara - . - For Private and Personal Use Only

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109 mahattamApavartana / .: yahAM a-3ya yaha uddiSTa tIna padoM kA mahattamApavartana hai| abhyAsa ke liye aura udAharaNa / (1) ya+ya-2, ya-1 aura yara-2 ya+1 ina kA mahattamAyaghartana kyA hai ? uttara, ya-1 (2) +6 + 11ya +6, ya + 7 4 + 14 ya+8 aura yare + ya+26 ya + 24 ina kA mahattamApavartana kyA hai? uttara, y+2| (3) a +2 aka +2 aka+kara, a+aka+ka aura a-kare ina kA mahattamApavartana kyA hai ? __ uttara, a+ak+k| (8) a-2 aka-8 akara, 2 a + aka + 10 akara aura 23+araka-26 akara-40 ko ina kA mahattamApavartana kyA hai? uttara, a+2k| (5) a+kare, a+ka', a+ka aura a+ka duna kA mahattamApavartana kyA hai? uttara, a+k| (6) 6 -11 aya-3 aya+rayare, +3 aya-11 ayara-6yara aura 6a + 19 aya+2 aya- yaH ina kA mahattamApavartana kyA hai ? uttara, 2 +y| (7) 24 ya-- 46 ya+29 ya-6, 30 ya - 56 ya+38 ya-8aura 6033 - 153 ya+98 ya - 24 ina kA mahattamApavartana kyA hai? uttara, 3y-2|| (8) ya2ra, ya3-2, ya' - ra, ya-1 aura ya-6 dUna kA mahattamApavartana kyA hai? utsara, y-r| For Private and Personal Use Only

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laghutamApavartya / 103 (ha) 2 ya+ yara -10 yara-21 yara + 1224, ya+5yara +yara-15 yara - 12ra aura 2ya + yara-7 yara-3 yara +32 ina kA mahattamApavartana kyA hai? uttara, y-32| (10) 2 a --- 5 a + 5 a-2,4 a --5 +1aura 4-1 are + a +3 a-2 ina kA mahattamApavartana kyA hai ? uttara, 2 -3 +1 / (11) 4 ya-8 yara+4 yara-ra',43% - ya +4 yara -2" aura 4 ya +ra ina kA mahasamApavartana kyA hai? uttara, 2yara-2 yr+r| (12) a+5aka+5 2-5aka -6ka', a + praka -7 kara aka: +6ka', '+4 aka-arakara -16 akare --12 aura a+2 aka-7 akA-8 a + 12 ka dUna kA mahattamApavartana kyA hai? uttara, a+3k| ___ (13) aka + aga+ a +2 akaga+ aga+kaga+kaga', a+2 aka+2 aga+ a +3 akaga + aga+ ga + kaga aura aka+aga+kara+3 akaga+2 aga+ko+kaga+gadUna kA mahattamApavartana kyA hai? ___ uttara, +g| 2 laghutamApavartya / 51 / jo do vA adhika pada jitane padoM ko niHzeSa karate haiM utane padoM meM jo sabase choTA pada hai usa ko una do vA adhika padoM kA laghutamApavartya kahate haiN| 52 / do padoM kA laghutamApavartya nikAlane kI rIti / For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 104 www.kobatirth.org laghutamApavartya / uddiSTa do padoM ke guNanaphala meM una patroM ke mahasamApavartana kA bhAga deo jo labdha hogA vahI una padoM kA laghutamApavartya hai / isa kI upapatti / yahAM pahile yaha siddha karanA cAhiye ki do padoM kA una ke laghutamApavartya meM alaga 2 bhAga dene se jo labdhi AveMgI ve paraspara dRDha hoMgI / - Acharya Shri Kailassagarsuri Gyanmandir 1 jaisA / jo a aura ka ina do padoM kA laghutamApavartya la ho aura apa aura la kapha ho to pa aura pha ye do labdhi paraspara dRDha la hoMgI / kyA ki jo aisA na ho arthAt pa aura pha ina kA bhI sAdhAraNa apavartana da ho jaisA ki pa= dape aura pha = daphe to la = adape = kadaphe | isa se spaSTa hai ki da isa sAdhAraNa apavartana kA jo adape vA kadaphe isa laghutamApavartya meM bhAga deo to bhajanaphala ape vA kaphe (jo laghumApavartya se avazya choTA cAhiye) a aura ka ina donoM padoM kA sAdhAraNa apavartya hogA / paraMtu yaha asaMbhava hai kyoMki patroM kA laghutamApavartya vahI hai jo una ke sAdhAraNa apavartya meM saba se choTA hai taba usa se bhI choTA una kA sAdhAraNa apavatyaM kyoM kara hogA ? isa se siddha huA ki pa aura pha ye dono labdhi paraspara dRDha hoMgI / = aba mAno ki a aura ka ina kA mahattamApavartana ma hai aura tama aura ka thama to la = apa tamaya aura la kapha thamapha isa liye tamapa = thamapha vA tapa = thapha hogaa| aba Upara siddha kiyA hai ki parapha ye paraspara dRDha haiM aura ta aura tha ye bhI paraspara dRDha haiM kyoMki ye aura ka ina ko dahI ke mahattamApavartana se niHzeSa karane se labdha hue haiN| aba tapa 11 thapha isa se spaSTa hai ki thapha yaha pa se niHzeSa hotA hai aura pa yaha pha se dRDha hai isa liye (44) ve prakrama se ya yaha pa se For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra laghutamApavartya 105 niHzeSa hogaa| isI bhAMti taba yaha ya se niHzeSa hotA hai aurata aura tha paraspara dRDha haiM isa liye pa bhI tha se niHzeSa hogA / .. akra labha .:. www.kobatirth.org aba, pa aura tha ina donoM meM hara eka dUsare se niHzeSa hotA hai isa se spaSTa hai ki pa aura tha ye donoM paraspara samAna haiM arthAt pa tha isa liye ka = apama, aura la thama, vA ka = pama vA cakra = apa praka bha == la / anumAna 1 / jo do pada paraspara dRDha haiM una kA guNanaphala una do padoM kA laghutamApavartya hai / == anumAna 2 | do padoM kA mahattamApavartana aura laghutamApavartya ina donoM kA guNanaphala una do padoM ke guNanaphala ke samAna hotA hai / Acharya Shri Kailassagarsuri Gyanmandir udA0 (1) 2 ya aura 3 kara ina kA laghutamApavartya kyA hai ? yahAM 2 aya aura 3kara ye paraspara dRDha haiM isa liye ina kA mahattamApavartana 1 hai, : laghutamApavartya = 20 x 3 kara 1 udA0 (2) 4 aya aura 5 atha ina kA laghutamApavartya kyA hai ? yahAM uddiSTa padoM kA mahattamApavartana atha hai / . laghutamApavartya udA0 (3) ya e-ra' aura yaha ina kA laghutamApavartya kyA hai ? yahAM ya e ra e = (ya+ra) (ya-- ra) aura - 4 2 45 praya aya 6 prakayara / 20. a282 / ya3 - 3 = ( + yara + ra e) (ya-ra) 1 isa liye uddiSTa patroM kA mahattamApavartana yahai, For Private and Personal Use Only

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106 ya + ra laghutamApavartya / (ya+ra) (ya-ra) x (ya+yara+2) (ya-ra) :: laghutamApavartya = (ya+ ya-ra = (ya+ra) (ya+yara+ra) (ya-ra) = (ya-22) (ya+yara+r) = y+yr-y-r| udA0 (4) ya2- yara-hara aura ya-2yara- dUna kA laghu. tamApavartya kyA hai? yahAM uddiSTa padoM kA mahattamApavartana ya+2ra hai, .. (ya-yara-62) (ya-2yara-2) :: laghutamApavartya = ___ ya-yara-dara Jx (ya-2yara-kara) _ya+ra = (ya-3ra) (yara-2yara-dara) = yaH-5 yara-2yara+24 / abhyAsa ke liye aura udAharaNa / (1) 21akIya aura 28 akAya ina kA laghutamApavartya kyA hai? ___ uttara, 84 akaya / (2) 21 (a+ya) aura 14 (a-ya) ina kA laghutamApavartya kyA hai ? uttara, 42 (b-yaa)| (3) 18 akara (ya-ra)2 aura 30 aka(ya-ra)3 dUna kA laghutamApavartya kyA hai? uttara, aka' (y-r)| . (8) a+ka aura a-ka ina kA laghutamApavartya kyA hai ? __uttara, are- kre| (5) 3ya-2ra aura 65+5yara-62, ina kA laghutamApavartya kyA hai? uttara, y+5yr-ghr| For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra laghutama | (6) 281+tha-3 aura 382 - ya - 2 ina kA laghutamApavartya kyA hai ? www.kobatirth.org kyA hai ? uttara, 603 +782 - 02 - 6 / (7) a e +2 a + 2 aura ca e - 2 + 2 ina kA laghutamApavartya kyA hai ? uttara, + (10) 38 - 8 laghutamApavartya kyA hai ? uttara, Acharya Shri Kailassagarsuri Gyanmandir uttara ' +4 / (8) 28 - yara-ra aura ya - 4 yara + 31' ina kA laghutamApavartya kyA hai ? uttara, 2- 7yara +2yara' +313 / (9) adeg - 4kara aura - - 22 - 4 kare - 8 / +08- 2 aura 28 - 2 - 4 1 aka - 4 kare ina kA laghutamApatra 64 - 03 - 1082+17ya - 6 | 107 (11) 283+3-66 + 3 aura 583 + 14 - ya + 6 ina kA laghutamApavartya kyA hai ? + 3 dUna kA } uttara 10 85 + 136 - 398 + 22 - 198 + 6 | - For Private and Personal Use Only (12) 23-58+63 aura 603 +16+6 - 1 ina kA laghutamApavartya kyA hai ? uttara, 8 + 238 + 428-37 / - (13), 4 a' + 13a + 9 a2 - 16 aura 4 a' - ha e + 34 - 16 dUna kA laghutamApavartya kyA hai ? uttara 86 + 12 - 2' +21+4+48- 64 / (14) - ya era + yara- 14 aura ya' + yara + ya(c)t'+ yadegr+ yara*+x' ina kA laghutamApavartya kyA hai ? uttara, ya-ra /

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108 laghutamApavartya / (15) ya+ 23+2ya - 4 ya-8ya-8 aura ya-2 ya+25 - 4 ya-ya-8 ina kA laghutamApavartya kyA hai ? uttara, ya-16 / 53 / tIna vA adhika padoM kA laghutamApavartya nikAlane kI rIti / pahile uddiSTa padoM meM koI do padoM kA laghutamApavartya nikAlA phira vaha laghutamApavartya aura zeSa padoM meM se koI eka pada ina donoM kA laghutamApavartya jAno sAhi phira jitane zeSa pada ho utanI bera karo taba anta meM jo laghutamApavartya hogA vaha abhISTa laghutamApavartya hai| . isa ko siddha karane ke liye pahile yaha siddha kiyA cAhiye ki jo do rAzi jisa kisI tIsare rAzi ko niHzeSa karate hoMge usa tIsare rAzi ko una do rAzioM kA laghutamApavartya bhI niHzeSa kregaa| * jaisA mAnA ki aaura ka ye lA ko niHzeSa karate haiM aura ina kA laghutamApavartya la hai to la bhI lA ko niHzeSa kregaa| kyoM ki jo aisA na kaho to mAno ki lA meM la kA bhAga dene se pha labdha hotA hai aura za zeSa bacatA hai arthAt lA= phala + za / taba patAntaranayana se, za= lA- phala / isa se spaSTa prakAzita hotA hai ki jaba aaura ka ye donoM lA aura la ko niHzeSa karate haiM to ve za ko bhI niHzeSa kareMge aura za to la se arthAt a aura ka ina ke laghutamApavartya se choTA mAnA hai usa ko kyoM kara niHzeSa kareMge? isa liye lA meM la kA bhAga dene se zeSa kucha na rahegA arthAt lA niHzeSa hogA yaha siddha huaa| _ isa ko rekhAgaNita ke sAtaveM adhAya ke (35) ve kSetra meM bhI rekhAoM se siddha kiyA hai| ___ aba mAno ki a aura ka ina kA laghutamApavartya la hai aura ga aura la ina kA laghutamApavartya lA hai to lA yaha a, ka aura ga ina kA laghutamApavartya hogaa| ... For Private and Personal Use Only

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laghutamApavartya / 109 kyeN| ki jo 2 rAzi a aura ka ina se niHzeSa hogA so 2 la se bhI niHzeSa hogaa| isa liye la aura ga ina kA jo laghutamApavartya hai vahI a, ka aura ga ina kA laghutamApavartya hogaa| - isI bhAMti cAra vA adhika padoM kA laghutamApavartya nikAlane meM bhI yukti jaano| isa ko rekhAgaNita ke sAtave adhyAya ke chattIsaveM kSetra meM vistAra se siddha kiyA hai| __ anumAna / jo aneka pada aise hoM ki una meM koI do pada paraspara adRDha na hoM una aneka padoM kA guNanaphala una kA laghutamApavartya hogaa| udA0 (1) aka, kaga aura ga ina kA laghutamApavartya kyA hai? .. yahAM pahile do padoM kA mahattamApavartana ka hai / isa liye una do akaxkaga padoM kA laghatamApavartya = = aga aba yaha laghutamApavartya aura gaI yaha tIsarA pada dana kA mahattamApavartana ga hai .. akarega gare isa liye abhISTa laghutamApavartya = = amagare / udA0 (2) 2 yara-5 ya+2, 2ya + ya -1 aura yara-ya-2 ina kA laghutamApavartya kyA hai? yahAM pahile do padoM kA mahattamApavartana 2ya-1 yaha hai isa liye una do padoM kA laghutamApavartya = - (2yara-- 5 ya+2) (2 ya+ya-1) 2ya-1 = 2ya-3 ya-3 ya+2 aba 2 yaH -- 3 ya2-3 ya+2 yaha laghutamApavartya aura tIsarA pada ina kA mahattamApavartana ya-ya-2yaha hai isa liye . For Private and Personal Use Only

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sadhutamApavayaM / . (2 ya-32-3 ya+2)(ya-ya-2) sabhISTa laghutamApavartya = - yara-ya--2 =2yare-33-35+2 / udA0 (3) are-2 aka+kara, are- kara aura a - kara dUna kA laghutamApavayaM kyA hai? yahAM a-2 aka+ 2 == (a-ka) aura ara-kara- (a+ ka)(a.-ka) isa liye pahile do padoM kA laghutamApavartya (a-ka)2 (a+ ka) yaha hai| aura a - ka = (a + aka + kara) (a.- ) isa liye abhISTa laghutamApavartya = (a+aka+kara) (a-ka)2 (a+ka) = a- akara- areka + kara abhyAsa ke liye aura udAharaNa / (1) 6ya+ya-2,8ya-6ya+1 aura 12 ya+5ya--2 inaH kA laghutamApavartya kyA hai? uttara, 24 ya-2 ya- y+2|| (2) 2 a + 7 - 15, 4 a + 21 +5 aura 8 a - 10 a-3. ina kA laghutamApavartya kyA hai? uttara, 8 + 30 ara+53 a-15 / (3) yara-2,ya+yara+yara+ra aura ya3- ya +yara -2 vUna kA laghutamApavartya kyA hai? uttara, ya-ra / (4) a2-3 aka+2 kara, ara-kara aura a+3 aka+2 kara dUna kA laghutamApavartya kyA hai? ___ uttara, a - 5 akara+4 ka / (5) ya+2 ya, ya+ya-3ya aura ya+35 --ya-6 ina kA laghutamApavartya kyA hai? uttara, y+3y-yr-6y| For Private and Personal Use Only

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laghutamApavartya / (E) ya- 1, ya-4 ya+ 3 aura ya-ina kA laghutamApavartya uttara, ya-10 ya+ (7) 6 ara-17 +12, 12 a-31 +20 aura 20 a-4 +30 ina kA laghutamApavartya kyA hai| ___uttara, 120 a-634 a+ 1253 are- 1098 + 360 / (5) 4 a + 1, 8 a + 8 a + a - 212-2 -1 aura a-8 a+ 4 a-2 a+2-1dUna kA laghutamApavartya kyA hai? uttara, 16 -1 / (e) ya-ya-8 ya+8, ya+2 ya-ya-2, ya + ya2-4 ya-4 aura ya3 - 2 ya-ya +2ina kA laghutamApavartya kyA hai? . uttara, ya- 5 y+4| (10) +2 ka + 4 aka +'ka', -2 a + aka' --8ka, +2 aka + 2 makara - 4 aka - 8a - 8 ka aura a-2 aka+2 akara-4 aka' + aka -8ka inakA laghatamApaghayaM kyA hai? uttara, -16 ka / 54 / jo bahuta se pada aise hoM ki una meM kitane eka do vA adhika pada paraspara adRDha hoM to una 2 paraspara adRDha padoM ko una ke 2 apavartana se apavartita karo jisa se ve pada anta meM aise ho jAveM ki una meM koI do pada paraspara adRDha na rahe taba ina saba dRDha padoM ke guNanaphala ko una apavartanoM se guNa deo| vaha guNanaphala una bahuta padoM kA laghutamApavartya hogaa| jaisA / aka, karaMga aura ga ina kA laghutamApavartya jAnanA hai / taba aka, kaga aura gaI dUna meM pahile prathama do padoM ko ka kA apavartana dene se a, kaga aura gaI ye pada hue / phira ina meM dUsare aura For Private and Personal Use Only

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112 laghutamApavartya / tIsare pada ko ga kA apavarta dene se a, ka aura ga ye saba paraspara dRDha pada ho gaye / aba ina kA guNanaphala agara hai isa ko kA aura ga ina apavartanoM se guNa dene se akaga x x = kare gare yaha guNanaphala aka, kaoN~ga aura gare ina kA laghutamApavartya hai / (53) ve prakrama meM pahilA udAharaNa dekho | isa kI upapatti / anta ke saba dRDha padoM kA guNanaphala (53) ve prakrama ke anumAna ke anusAra una dRDha padoM kA laghutamApavartya hai | paraMtu apavartana deke dRDha kiye hue padoM kA laghutamApavartya bhI apavartita hogA / isa liye usa laghutamApavartya ko una apavartanoM se guNa dene se guNanaphala anapavartita padoM kA arthAt uddiSTa padoM kA laghutamApavartya hogA / yo upapanna huA | aba jahAM do vA adhika uddiSTa padoM meM hara eka pada ke dRDha guNyaguNakarUpa avayava turaMta jAna sakate hai| vahAM una padoM kA laghutamApavartya jAnane ke liye lAghatra kA aura atyanta sugama yaha noce likhA huA prakAra Upara kI upapatti ke Azraya se utpanna hotA hai / uddiSTa padoM ko eka paMkti meM likho phira usa meM jisa kisI dRDha pada se aneka pada apavartya ho usa bhAjakarUpa dRTha pada ko paMkti ke bhAjakasthAna meM likha ke usa se jitane uddiSTa pada niHzeSa hoMge utane padoM kI labdhiyoM ko una 2 padoM ke nIce likha de aura jo pada niHzeSa na hoMge una ko apane 2 nIce likha deo / isa se eka dUsarI paMkti utpanna hogI phira isa kA pUrvavat eka dRDha pada bhAjaka kara ke tIsarI paMkti utpana karo / aura aisA phira 2 taba taka karo jaba taka kisI dRDha pada se paMkti meM aneka pada niHzeSa hone ke yogya na raheM taba saba bhAjaka aura anta ke paMkti meM jo pada bace hoM una sabhoM kA guNanaphala siddha kro| vaha guNanaphala uddiSTa padoM kA laghutamApavartya hogA / udA0 (1) 15, 18 a, aura 20 inakA laghutamApavartya kyA hai ? For Private and Personal Use Only

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113 nyAsa / 2). 3) 5) 15 laghutamApavartya / 18 15a a 5 a 3 a 10 ara 10 ara - .:. 24345xx3.x2 = 180 gara yaha abhISTa laghatamA. pavartya hai| udA0 (2) 3 ya+3 ghara, 3 ya-3 yara, 3 ya2-31aura yo-yara ina kA laghutamApavartya kyA hai? nyAsa / 3) 3 ya+3 yara, 3 ya-3 ya) ya+ yA, ya-- yara, ghara- ra, ya3 - yAra, ya+ra) ya + ra, ya - ra, yo- ra, ya- ra, / / / / .: 34 ya x (ya+ra) x (ya-ra) = 3 ya-3yara, yaha udRiSTa padoM ko laghutamApavartya hai| athavA isa meM hara eka paMkti meM jo 2 pada kisI aura pada meM niHzeSa hotA ho usa 2 niHzeSa karanehAre pada ke nIce eka rekhA karo aura usa ko chakA huA smjho| phira zeSaH padoM meM Age ukta prakAra se kriyA kara ke laghutamApavartya nikaalaa| vahI abhISTa laghutamApavartya hogaa| isa se kriyA meM bahuta lAghava hogA / jaisA Upara ke udAharaNa meN| 3) 3 +3 ghara, 3 yara-3yara, 3 ya-322, ya- ghara, ___ya) ya+yara, ya-yara, yara-2, ya-yarara, ya+ra ya-ra yA-ra .. 34 ya 4 (A2-) = 3 - 3.yA yaha laghutamApavartya hai| For Private and Personal Use Only

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114 . laghutamApavartya / abhyAsa ke liye aura udAharaNa / (1) aya + ara aura aya- ara ina kA laghutamApavartya kyA hai ? uttara, ayr-ar| (2) + ya aura (a+ya)2 ina kA laghutamApavartya kyA hai ? . uttara, a + azya + ayaH + ya / (3) 2 aka, 2 aya-2 ara, 2 kaya -2 kara aura akaya -- aphara ina kA laghutamApavartya kyA hai? uttara, 2akaya-2 akara / / (4) 6a, 3 aka, aka (ya-ra) aura 3 ka (32-21) ina kA laghusamApavartya kyA hai? uttara, 6aka (y-r)| (5) aya + ayara, azya-aya9, a- ayara aura azya-ya3 ina kA laghutamApavartya kyA hai? uttara, azya-ayaH / (6) ya-8, ya+8ya + 15 aura ya+2 ya - 15 ina kA laghusamApavartya kyA hai? uttara, ya+552- y-45| (7) ya-4, ya2-36 aura ya+8 ya-12 ina kA laghutamA. pavartya kyA hai? utsara, ya-40 y+144|| (E) a-ka, ara - ka aura a-karadana kA laghutamApavartya kyA hai? uttara, a + aka-aka -ka (E) ya-ra,(ya- 1)aura ya-ra dUna kA laghutamApavartya kyA hai ? uttara, ya-ya - ya ra For Private and Personal Use Only

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11 laghutamApavartya (10) ya+3 +2, ya+4 ya+3 bAra laghutamApavartya kyA hai? uttara, ya+6 ya+ 11ya+6 / (11) ara-kara, a + kare aura a-ka ina kA laghutamApavartya kyA hai? uttara, a-aka+akara- aka' + ak-k| (12) (a-ka) (a-ga), (a-ka) (ka-ga) aura (a-ga) (ka-ga) ina kA laghutamApavartya kyA hai ? uttara, (pra-ka) (a-ga) (k-g)| +5 rana kA laghata. (13) 3 a-3, 4 a +4 aura 5 a+5 mApavartya kyA hai? uttara, 60 -60 / (14) (ya+a) (ya+ka) (ya+ga), (ya + a) (ya+ka) (ya+gha); (ya+a) (ya+ga) (ya + gha) aura (ya+ka) (ya + ga) (ya + gha) bana kA laghutamApavartya kyA hai? uttara, (ya+ a) (ya+ka) (ya+ga) (y+gh)| (15) +1, a-1, a-1 cora a-1 ina kA laghutamApavayaM kyA hai? uttara, a+ a + a - ar-a-1| aura ya+t' ina kA (16) ya+ra, ya-ra, ya+ra, ya-ra laghutamApavartya kyA hai ? uttara, 20 - 2 yara+3 ya2-3 ya +aur-3 ya +2yara-1 / +2 -2yara For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra haagare yahAM (52) laghu mahattamApavartana aura laghutamApavartya ke sAdhAraNa prazna | (1) jina do padoM kA guNanaphala ya + 6 yaha hai aura mahattamApavartana ya + 2 haiM una do kyA hogA ? veM prakrama ke www.kobatirth.org anusAra 1 * + + 23 ya + 30 + 12 ya+2 Acharya Shri Kailassagarsuri Gyanmandir - + 238 + 38 + 12 padoM kA laghutamApavartya isa liye ya'+6ya' + 11 + 6 yaha una do padoM kA laghutamApavartya haiN| + 6 + 11 yaM +6 (2) jina do pedoM kA mahattamApavartana ya+ra aura laghutamApatrayaM ya + yara - yara - 3 hai aura una do padoM meM eka pada para hai taba dUsarA pada kyA hai ? wy yahA~ (52) prama ke dUsare anumAna se mahattamApavartana aura tamApavartya ina donoM kA guNanaphala - (ya+ra) (ya + yara-yara ya* + 2yara - 2 ra 3 - 4 yaha una do padoM kA guNanaphala hai / * + 25 - 2 ra 3 - For Private and Personal Use Only laghu (3) = ya' + 2vara+ra' yaha dUsarA pada hai !

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110 adhyAya 4 / ima meM bIjAtmaka bhinnapada kA vyutpAdana, bhivapadoM kA rUpabheda, una kA saMkalana aura vyavakalana, guNana, bhAmahAra, ghAmakriyA, malakriyA aura prakIrNaka itane prakaraNa haiN| 1 bIjAtmaka bhinnapada kA vyatpAdana / 55 / jo bIjAtmaka pada parA nahIM hai arthAta jo avayava vA avayava se milA huA koDa pUrNa pada hai usako bhitrapada kahate haiN| isa se spaSTa hai ki bhinnapada koi parNa bhAjya bhAnakoM kA bhajanaphala hai jo bhAjya bhAjaka se niHzeSa nahIM hotaa| bhivapadasambandhi bhAjya ko aMza vA bhAga kahate haiM aura bhAjaka ko checa vA hara kahate haiN| bhivapada jisa padArtha kI jAta kA hogA usa padArtha ke utane samAna vibhAga karo ki jitanI keva kI saMkhyA ho phira aMza kI saMkhyA jitanI hogI utane ve vibhAga le ke una kA yoga karo vaha usa bhivapada kA mAna hai athavA aMza kI saMkhyA jitanI hogI utane bhinnapada kI jAta ke padArthoM kA aikya kara ke cheda kI saMkhyA jitanI hogI utane usa aikya ke samAna vibhAga karo una meM eka vibhAga usa bhitrapada kA mAna hai| 56 / jisa bhitrapada meM aMza aura cheda paraspara dRDha haiM vaha usa kA laghutama rUpa hai| 57 / jo abhinaya krimI bhitrapada me juDA hu.mA vA ghaTA huA hai usa ko mizrapaTa kahate haiM / yaha do prakAra kA hotA hai / eka bhAgAnubandha aura eka bhAgApavAha / For Private and Personal Use Only

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118 bhitrapada kA vyutpAdana / (1) jo abhivapada bhivapada se jur3A huA hai usa ko bhAgAnubandha kahate haiM / jaisA, a++ __(2) jo abhivapada bhitrapada se ghaTA huA hai usa ko bhAgApavAha kahate haiN| jaisA, a-k| 58 / mAno ki adasa bhitrapada kA nyotaka ya hai arthAta ya= ato (18) ve prakrama ke dUsarI pratyakSa bAta ke anusAra donoM pakSoM ko ka se guNa dene se kaya = a aura bhI ina donoM pakSoM ko ma se guNa dene se makaya= mana ......................................... (prA) (1) aba (A) isa ke donoM pakSoM meM ka kA bhAga dene se, maya = matra arthAt max= mjaa| isa se spaSTa prakAzita hotA hai ki jo kisI abhinapada se bhitrapada ke aMza ko mAtra guNa deo aura cheda ko vaisA hi banA rahane devo to vaha usa bhitrapada aura abhinnapada kA guNanaphala hogA / (2) (grA) isa ke donoM pakSoM meM maka kA bhAga dene se ya = maga arthAta = maya isa se spaSTa prakAzita hotA hai ki kisI bhitrapada kA aMza aura cheda ina donoM ko kisI eka hi pada se guNa ke bar3hA dene se vA bhAga deke choTA karane se usa bhitrapada kA mola bigar3atA nahIM / 56 / aura bhI jaba ki a a = 21 = 31 = mana = --matra - to isa se spaSTa hai ki koI abhivapada bhivapada ke rUpa kA ho sakatA hai, aura kisI bhivapada kA aMza aura cheda ina donoM ke cihnoM ko palaTa dene se una bhivapada kA mola nahIM bigdd'taa| For Private and Personal Use Only

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2 bhinnapadoM kA rUpabheda / 60 / bhitrapada kA eka rUpa se vA nAma se dUsare rUpa vA nAma meM le jAne ke prakAra ko rUpabheda kahate haiM / bhicapadoM kA saMkalana, vyavakalana, ityAdi ke liye pahile isa ko avazya jAnanA cAhiye / udA0 (1) 61 / kisI bhinnapada kA laghutamarUpa, jAnane kA prakAra / uddiSTa pada kA aMza aura cheda ina donoM kA mahattamApavartana nikAlA abhISTarUpa ke aMza ke liye uddiSTa pada ke aMza meM isa mahattamApavartana kA bhAga deo aura abhISTarUpa ke cheda ke liye uddiSTa pada ke cheda meM bhAga deo / isa kI upapatti jaba ki bhitrapada kA aMza aura cheda ina donoM meM eka hi pada kA bhAga dene se usa kA mola nahIM bigar3atA taba uddiSTa bhitrapada kA aMza aura cheda ina donoM meM unhoM ke mahattamApavartana kA bhAga dene se uddiSTa pada kA mola na palaTa ke usa ke aMza aura cheda paraspara dRr3ha hoMge arthAt ve aura choTe nahIM ho sakeMge isa liye vaha uddiSTa bhitrapada kA abhISTa rUpa hogA / - kara are - kare nyAsa / jaba ki isa kA laghutamarUpa kyA udA0 (2) Acharya Shri Kailassagarsuri Gyanmandir - ka isa liye yahAM aMza aura cheda ina (a + ka) (a are - ka (a + a + kare ) ( kA mahattamApavartana isa kA una donoM meM bhAga dene se + ka + ka + ka 14 ghara - 11 yara + 22 z + 16 ghara - 61 ? For Private and Personal Use Only 118 ka) - ka) - ka hai yaha laghutamarUpa hai| isa kA laghutamarUpa kyA hai ?

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Shri Mahavir Jain Aradhana Kendra 120 freaoN kA rUpabheda | yahAM aMza aura cheda kA mahattamApavartana 08 - 21 hai, 1482 - 11 yara +2Rs2 01 + 18yara - 612 25- ra ya+3ra udA0 (3) (1) (2) a + 2 ka + kara 2-aka-2 kara -3 kaga (3) (8) a aka khe yaha laghutamarUpa kyA hai ? yahAM aMza aura cheda kA mahattamApavartana + ka + ga hai, 36 abhya 45 23 ha1 ( 77 (a (zra a + ka 1= ++ ka-ga 2kara - 3 kaga - are - praya (gha) 2 4 a ka) 2 3 - yaha smaraNa rakkhA ki isa ke anantara jahAM bhitra pada se gaNita karanA hogA vahAM usa ke sthAna meM usa kA laghutamarUpa leo aura gaNita meM jo anta meM phala utpanna hogA usa ko laghutamarUpa deo / kyoM ki lAghava sarvatra apekSita hai / abhyAsa ke liye aura udAharaNa | 5 ya 'ya' - 4 ya + 4 a2-8 www.kobatirth.org (1482 - 11 ghara + 2Rs) : (ya--21) ( 0 + 18yara - 61 ) / (78- 2ra) hai 1 ga WH 1 - ga ca 13 11 (ka) pra + 2 ka + ka ka + kara (+ya) ya - a + ka-ga 2ka - ga - tha -2 ya + ga Acharya Shri Kailassagarsuri Gyanmandir 1 I isa kA laghutamarUpa For Private and Personal Use Only yaha laghutama rUpa hai 1

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125 bhitrapadoM kA ruupbhed| ara-2 -15 +8 a+2 -35 a+ ' ya+4 yara +3ra ya+39 ya+yara- ya-ra' 12 yara - yara-35 ghara 3 ya+5ya 28yara-hara ayara-kara aya+kara azyA - kara aya+akayara + kara ya-3 ya +2 ya+2 2 yaH-3ya+1 2ya+1 ya-14 yara(11) ya+yara- yr| a+aka+ + aka+kara a + kare = a+ka / 3 ya3-11 yara+12 ya-4 3yara-5 ya+2 2ya - ya-ya-10 2ya+3+5 15 a + 3 aka-10 akara-2 ra 3 a-2kara 35 a + 22 aka+3 ka a + 3 ka a- yaH a-ya +2 saya +2 aya+ ya +4 ya+4 yara-2+2 23-2ya -4 ya-2 ya-yara +2 ya -yA +ra ya-yara+ra ya+yara+2ya + yara+ra ya+yara +ra ra ya+2 +1 3 +2 +1 1) haya - 4 ya+4 -1 3 ya+2 ya-1 For Private and Personal Use Only

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bhivapadoM kA rUpabheda / 633 - 4 yar-15 yara+103 3ya-2ra 4 33+6yara-10 yA- 153 25+3ra ya+ (a-ga) ya-aga ya+a ya+ (ka-ga) ya-kaga ya+ka ya+ra-la+2yara ya+ra+la ya2-ra-la+rala ya-ra+la' a + aka+akara-kareMga-kaga2- gaI a-ga a- kare +2 aga+ akaga +2 agara + ga a-ka+ga' tayaH + (ata+da)+ (ada+kata)yara+kadara taya+dara ' aya+ (ara-ba) yara-(aba-aka) yara-bakara aya-bara' ( hr| mizrapada ko bhinnapada kA rUpa dene kA prakAra / bhAgAnubandha vA bhAgApavAha ke bhinnapada kA cheda aura abhinnapada ina ke guNanaphala meM bhinnapada ke aMza ko krama se jor3a vA ghaTA dene se jo banegA so abhISTa bhitrapada kA aMza hogA aura mizrapada meM jo bhitrapada kA cheda ho vahI abhISTa bhitrapada kA cheda hogaa| isa kI upapatti / mAno ki a++ isa mizrapada kA dyotaka ya hai arthAt ya = a+ to samoM ko sama se guNa dene se, gaya = aga+ke :: ya= agaka, vA, aga aga ka yo upapatra hotA hai| akare udA0 (1) a- aka+ isa ko bhitrapada kA rUpa deo / ma + ka akara (ara-aka) (a+ka)+akara nyaas| ara-aka+'a+ka +ka -ka) (+ ka) + akare (ara-kara)+prakara a +ka +ka a For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra - akara + ka + ka udA0 (2) pra nyAsa / F (1) a --- (3) ya a + akara - ka + kare a + kara ka (2) a + + (4) 3 ya a + 8+ (6) ya - 2+ (5) ya +2+ (8) +2ka R - kare a + kare zra francoN kA rUpabheda | na + ka (7) 2 + 7 ka www.kobatirth.org ya + a akara kare + kara abhyAsa ke liye aura udAharaNa | + ka) ( ka) 3 tha + ka ya+5 2ya +0 yara + 6 ya - 3ra isa ko bhinnapada kA rUpa deo / P + ka ka ya ya + a 3 + kare + ka ya ya +2 ka + 14 kara 3+2ka kare (-6ka) are - 3 kara / ( + kara) ya 1 Acharya Shri Kailassagarsuri Gyanmandir 6 ya e + 14 - 23 2+7 3ra a + ka For Private and Personal Use Only 1 6 ( + 4 ka 3. +2ka (ara - kare) 2 a + aka - 4 ka 2-3 kara 123

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Shri Mahavir Jain Aradhana Kendra 134 (c) ya e + para + rdeg + (10) ya + (11) a + ka T + -- (12) ya+ra - la - 1 (16) 1+ (17) (13) 1+ a + a + frasi kA rUpabheda / www.kobatirth.org ya 36-22 ya ya - Rs ya - ra ka + (14) 2-3 tha - ya + are (25 atha + 2 ) C 2 + 382 (18) ya+ra+pa (a2 + ac + c2) (a2 -- at +c2) a2+2 (15) a (ya+ra) + ka + (a 12- la ya+ra+la a ka (2 + ka) - ga 2 ka ka a 1 + kare 2ya+3= Acharya Shri Kailassagarsuri Gyanmandir cA ka 1 gha (ya+28) ya+ra+la ra +kara + ga yare (7+3ya) a - 2 aya + 381 - I 1 For Private and Personal Use Only praya + kaya +ga ra ( + ka+ga) ( + ka-ga) - ga tha 1 ya + 13 ghara - 612 38 2ra ra+para+pha ya+ra ka + gare)2 (19) aga 8 grama ( + ka + ga) (+ka-ga) (a + ga - ka) (ka + ga - a) 1 4 aga 1 1 + (2+pa) ya - pha ya + ra

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125 bhivapadoM kA rUpameda (ya -la-vara)2 (20) yara+ lava-- 4(yara+ lava) __ (ya+ra+la-va) (ya+ra+a-la) (ya+ + 4 (yara + lava) -)(+la+ba-ya) - 63 / bhivapada ko mizrapada kA rUpa dene kI prakAra / bhinnapada ko mizrapaMva kA rUpa dene ke liye kevala bhinapada ke aMza meM usa ke cheda kA bhAga deo jo labdhi pAvegI baha abhISTa rUpa hai| 15 aya udA0 (1) isa ko mizrapada kA rUpa deo| 15 ayAya nyAsa / -- = aya+ yaha mizrapada hai| 5ya-3yara - 122 udA0 (2) - - isa ko mizrapada kA rUpa deo / 5ya+ ra nyAsa / 5 ya+22)532-3 yara - 122 (ya-t 55+2yara -5yara - 121 -5 yara - 2 -10 ra ..ya-ra- yaha mizrapada hai| +31 5 (a-ka+ga) ya udA0 (3) ----------- isa ko mizrapada kA rUpa deo| (pra-ka+ga)ya (ka-ga) ya nyAsa / --- a = ya- - yaha mizrapada hai| For Private and Personal Use Only

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bhitrapadoM kA rUpabheda / abhyAsa ke liye aura udAharaNa / 7 +20 20 = a+2| 35 ara+14 aya+8 yara ----- 4yara =5 + 2 + --- / 5ya-10 yara+32 BR ya - ya-2ra+ / ya 2 + ka 2+ ka ara-aya+ gha3 --- - / + ya + - +ya +ka' - + ka a + a-aka+akara-kare + - - / ka mara-ya- +- -- ! ya / / . ya+ya ya (ya+1) (ya-1) + - == + - --- =ya+5ra ra (4 ya-13ra) ya-32 ra (ya-32) 3ya+52 ya+5 yara-7 yara-213 . ya2-3 63-21yara+yara-33 . .3 ya5 4-7 ya+yara-yA3+52 (11) -- ____ ya+3 yara + 7 ra (97 ya+671) ya+3yara+ For Private and Personal Use Only

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127 bhitrapadoM kA saMkalana aura vyavakalana / a+ akra-akare +ka' - = a + aka-akara (12) a+kare kara (2 a-aka-kara) / a+kara +5 a-2 a +32-4 6 +5-- ( + + )2 + + +ka)3 4kara (3 a-ka) + ka+ - (a-ka)2 . ' ra ra3 (a ) ara kA (a+kara) / a ka3= a- akare+ ' a+kare / ara--- 2 aka+ka-aga-gara ga (ka-ga) a-ka+ga . a-ka+ga aya+kayaH + gaya+ghaya+ca -=ayaH + (apa+ka) yara ya-pa ap+kp+gp+ghp+c| +(apa+kapa+ga)ya+(apa+para+gapa+gha)+ ya-pa 3 minnapadoM kA saMkalana aura vyavakalana / 64 / bhitrapadoM kA saMkalana vA vyavakalana karane ke liye pahile ina padoM ke chedoM ko samAna karanA cAhiye usa kA prakAra yaha hai / udviSTa padoM ke chedoM kA jo laghutamApavartya hogA usa meM hara eka udviSTa pada ke cheda kA bhAga dene se jo 2 labdha hogA usa se apane 2 aMzoM ko guNa deo ghe guNanaphala samaccheda par3oM ke aMza haiM aura vaha laghatamApavartya hi saba samaccheda padoM kA cheda hai| For Private and Personal Use Only

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ya 128 bhitrapadoM kA saMkalana gari vyayakalana / aba saMkalana kI yaha roti hai ki pahile uddiSTa padoM ko samaccheda karo phira una samaccheda padoM ke aMzoM kA yoga karo vaha abhISTa yoga kA aMza hai aura jo samaccheda padoM kA cheda hai vahI abhISTa yoma kA cheda hai| __ aura vyavakalana kI yaha rIti hai ki pahile uddiSTa padoM ko samaya ccheda karo phira una meM jo pada viyojaka ho usa ke aMza ko vA aneka viyojaka hoM to una ke aMzoM ke yoga ko viyojya meM vA viyojyoM ke yoga meM ghaTA dene se jo zeSa bace vaha abhISTa antara kA aMza hai aura jo samaccheda padoM kA cheda hai so hi abhISTa antara kA cheda hai| dUsa kI upapatti / / mAno kima aura ca ina padoM kA yoga karanA hai aura mAno ki ina padoM ke dyotaka krama se ya, ra, aura la ye tIna pada haiM arthAt ra , aura la= cato - ya+ra+la- + + aba mAno ki ka, gha aura cha ina chedoM kA laghutamApavartya ma hai aura ena meM chedoM kA alaga 2 bhAga dene se krama se ta, tha aura da ye labda hote haiN| to Upara ke donoM pakSoM ko ma se guNa dene se, (ya+ra+la) ma = ama + ma + cama athavA (ya+ra+la) ma= ata + gatha + cada :: ya+ra+ la dhA, + I + = ata+ gaya+cada / isa se saMkalana kI rIti kI upapatti spaSTa prakAzita hotI hai| isI bhAMti vyavakalana kI rIti kI bhI yukti jaano| yahAM jina padoM kA yoga yA antara karamA hai una meM jo kitane eka abhivapada vA mitrapada ho to vahAM miyapadoM kA yoga vA antara For Private and Personal Use Only

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bhivapadoM kA saMkalana aura vyvkln| 129 karane ke liye pahile abhicapadoM kA yoga vA antara kara ke usa meM bhitrapadoM ke yoga vA antara ko jor3a deo| isa se kriyA meM bahuta lAghava hogaa| 5ya 4yA. iya udA0 (1) aura ina kA yoga kyA hogA? yahAM chedoM kA laghutamApavartya 84 hai, :. 5yax9% 35ya) 4ya 44 = 16ya ye tIna krama se samaccheda padoM ke aMza haiM, 16ya aura 84 yaha laghutamApavayaM hi samaccheda hai, 35ya 16ya - aura ye samaccheda pada haiM, '8484 5ya 4ya 3ya 35ya 16ya tya :. udviSTa padoM kA yoga = + -+- +- + 1231 28 84 4 4 35ya+ 16 ya+ ya 60ya 5ya . - . athavA pahile jina padoM ke cheda choTe hoMge una kA yoga karake phira usa meM zeSa padoM meM jisa kA cheda choTA hogA usa ko nor3a deo aisA hi phira bhI kro| ___5ya 4ya 3ya jaisA + + 28 4yAya 34. 29 For Private and Personal Use Only

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bhivapadoM kA saMkalana aura vyavakalana / 1/35+56ya 3ya 1.51 ya : 3ye - 17ya 3ya 20 ya 5ya 6 35-22 ya+ ra. 13yara udA0 (2) ------- + -------- 10 15 '3. (5ya-1) (3ya-ra sya+32) 13yara 2 3 '305ya-ra) 1 (3 (3 ya-22)+2 (2+3ra)) 13 yara 30 (5ya-ra) 1(ya-ghara+4+6ra) 13 yara *30 (5ya-ra) _1 135 13 yara 13ya, 13yara 5 6 * 30 (5 ya-ra) 30 '30 (55-1) 13 ya (5 ya-ra) 13 ra 6552-13 yara + 13 yara 30(zya-ra) 30 (5ya-ra) 30 (5ya-ra) 65 yara 13yara - 30 (5 ya-ra) 6(55-ra)' udA0 (3) - aura ina kA yoga kyA hai ? darala 14yana 21 ... 1 nyAsa 'rala '14 yala '1yara 42yarala' 42 yarala 'yAla 7ya+ra+2la - yAta- = udiSTa padoM kA yog| udA. (4! - aura -ina kA yoga kyA hai? ya a + For Private and Personal Use Only

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bhivapadoM kA saMkalana aura vyavakalana / a+ya a-ya (+ya)2+ (a-ya)2 a-ya +ya (pra-ya) (a+ya) a+2 aya + 2 + ara- aya+yara 2 (a+yara) a - yara udA. (5) 2(1+ya) '3(1-ya) '1+yara +. + -..------ 211+ 1-yA 1 (1-ya+1+ya) 2 (1+ 2) (1-ya), +yara 1 +yara 25-yara' + yara 5-2 1+ya' 1+yA+1-yA 2 1-yara) (1+ya) 1-ya* zya ..3ya udA0 (6) dasa meM dasa ko ghaTA deo| 5ya 3ya 25ya 1ya 25ya-1ya 4ya . 5 35 35 3 5 35 udA0 (7) ------ isa meM isa ko ghaTA degaa| ya+11 1 1 abhISTa antara - -- ya-1 ya+1 ya+1- (ya-1) (ya-1) (ya+ 1) ya+ 1-ya+1 (ya-1) (ya+1) yare - gha+ 1 ya+ 2 + 3 For Private and Personal Use Only

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bhidhapadoM kA saMkalana aura vyavapAlana / ya+2-(ya+1) 1 ya+2-3-1 1 (ya+ 1) (ya+2) 'ya+3 (ya+1) (ya+2)'ya+3 1 ya+3+ (ya+1) (ya+2) (ya+1) (ya +2)' ya+3 (ya+1) (ya+2) (ya+3) ya++ya+3 +2 ya+4 ya+5 (ya+1) (ya+2) (ya+3) (ya+1) (ya+2) (ya+3) ya-. udA. (9) ghara-4 ya+ +4 ya+6 ya+4 ya+:- (ya2-4 ya+6) ya+4 +6-ya+ (ya2-4 ya+5) (ya' + 4 ya+) ya+64 sya +64 abhyAsa ke liye aura udAharaNa / ya 17ya zya 33 - + +3ka a-4ka 13-19ka 7 3 .21 2ya+5ra iya-ra 1332+32 yara+3' ya+ra '5ya+ra 5ya+11 yara +2 3 +2ka 3 -2ka 2(3 -2 ) + ka ' a-ka a-kara ya+ra ya+ ra yara (2) ya+ra'ya-6ra 3-4 yara- 11 3ya-5 25+5 3yara (6) + (ya + 1)2 (ya+1)ra - + For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra (gha) (c) (10) (11) (13) (13) (14) (15) (16) (90) Di Shi tha+ 1 freusoN kA saMkalana ra vyavakalana a+9 ca - 1 . 28 - 10 yara + 5Rs2 15 ya - para 282 + (ka) 3ya +2 20. if ya. 2 ya + 2 tha - 1 - 12 11 ya + 4 36 + 12 (ya +1) 3 2 ka 3+ka 10 14 ka) (a + ka) zna + kaH yaH + 1 3+3 atha Yu www.kobatirth.org ya: 4 5 22ya + 4 + ya+ 2 ya (ya-4) -- 14 3ya /4 (ya +1) (ya +2) 2) ka ya-ra 58- 26 tha +3 + 4. ka + - 2 (ya - 1) 45 ya. - 4 (ya- 3) 3 + ka 35. + 6 ka + Acharya Shri Kailassagarsuri Gyanmandir 2Akara + ka ya - 26 3.ya+ra ya+ra ya-ra 2 ya yara + ghara + i 'ghare-ghara + ya +1+ 2 ka 2 3ya+1 kS For Private and Personal Use Only 11 ya - 16 ya -- 24 +6) T 3 (ya- 4 ya + Nan Zi Qi (ya- 1) (ya - 2) (ya + 3) +% S - 163 /

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Shri Mahavir Jain Aradhana Kendra oegwansang (18) (paMha) (20) (21) (23) == (24) (25) frapadoM kA saMkalana aura vyavakalana | 28 1 ya + 26 2 (ya +1) - a ka -- -ga) (ka+ga) a + ka A 2 XX - + 2 - 2 + gha + (a + + kare) 4 - ka + 2ya + 26 tha + 1 3 ya + 5 -- ka * + 4 ka ka + 2 kara ka + 2 kara + + 4 ya www.kobatirth.org a ka + 8 ka ya - 1 ya+2+2 + - 2 (5ya - 18) 3ya (ya - 6) 28 + 1 + + ya - 3 282 - 21ya + 54 1 26- 75 2 (ya + 3) + + a + ka - ga + 2 (gha - 1) pUra 82 - 43 (3ya + 5) (28 - 2) (5ya - 3) + ka) 4-75 2+3 4 5 ya 2+2 kara +2+2 ka 3 -- ya + 1 - 2ya +2 Acharya Shri Kailassagarsuri Gyanmandir 3 ya (ya+1) (gha+2) (ya +3) ga) 1 For Private and Personal Use Only 24 ya (ya+1) (zya+1) (28+3) 2ya (ya e + 4) ya* + 4 ya+2 5 + ya' + ya 3 (2 ya Di Shi Lu + ka) (ka + ga) - + 9) 1 1 ya + 1 }

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miSapadoM kA saMkalana pAra vyvkln| ... 135 3 2 - 4 ya+10 ya +20 (28) ya+2 ya+82 - -2' +4-85-6 2ya (ya + 1) ya' + ya .85-8' 3(2ya+1) ' raya+3) '21 (4 ya 4ya (4 ya+5) 3 (2 ya + 1) (2 ya.+B) (4 ya:- 1) ' aka aga+kara kaga (a-ga) (ka-ga) '(--ka) (ka-ga) ' (a-ka) (a-ga) aka+aga+kaga . (a-ka) (ka-ga) / ya+ra' ya+ yara +ra 'ya- 2- yara + 2(ya+ya + ya +yara -2 ya - .+3 ya+4 ya+gi+16 yara-2 +4 ya-2 ya+8 'ya- 4 ya+ 16 ' ya+2 +8 ya' -4 ya+16 4 (ya+4 +16 ya+64 ya+ 256) *ya + 4 ya+ 16 ya+ 16 ya + 256 saya 3ya ya ya 5ya-1 2ya-5 4ya+13. (31) 15-10-6-15 aura -6=18 3ya-ra ya+ra ya (7 ya -ra) 2ya-ra 3ya+ra 612-- yara- ' ya+2 2(ya+1) ya ya+1 2 ya+ (ya+1) (2ya+1). For Private and Personal Use Only

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bhitrapadoM kA saMkalana aura vyavakalana / ya (2 ya-ra) 2ya+. (ya- 2 - (- ' (20) 2( ka) a-ka +ka ma+ + kA IR bhA -kA ra ya+ra 3ya (36), - 7ya 12 / 2ya+3 . _ ya+ 1 ya + ya ..5 a+9ka 4 a - kara a+ka ya + 9 ya-1 12-4 ya+8 ya+4 + 2(5 + ) ya +64 ( 8kare +2ka 7) a+2 +2kara mara-aka+zakara +4ka pra 1 5 . 4 12 4 (-3) (a-4) 2 - 32 -1 ( -5) (a+3) ( -1) : ya-17 ya-- (ya-) (-4) (ya-3) / + 3 (43) - + ya- ya-ya+1 900) ya+ +1' yara-ya+1 2 yara (ya-ya- 1) ya +ya +1 For Private and Personal Use Only

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- 05 bhitrapadoM kA saMkalana aura vyavakalana / ya+1. ya-2 ya+3 ya+10 ya+32 ya-2'ya+3 +2 ya+3yara-4 ya-12 : (a-ya)3 (a-ya)2 a-ya a-aya+aya+ya' (a+ya)3' (a+ya)2 a+ya a+ ya+a+ya' 1 2 . 1 2 a+ka +2 +3ka (+ka)(a+raka)(a+12) (47) kA 1 (18) 88(ya+13) ' 88(ya+13) 24 (ya+5) '33(ya+2) . (ya+13) (ya+5) (+2) 1 - -- tya ya-1 2(ya--2) ya (ya-1) (ya-2) ya+2 ya+3 +4 (ya+2)(ya+3) (ya+4) " ara-1 a (A+1) ya+5 ya-ya-6 a+1 a a (ara-1) -1 2 +1 ya-1 ya+ya-2 ya-4 ya+3 33-232-5 +6 2 + 3 ( 3 +1 -3) (a-2) (-3) (a- 1) (-2) (a- 1) (ca-3) ( -2) ( -1) For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 136 (54) (99) + (56) (57) + (59) (60) + (58) (gha- ra) (ya-la) (ya- gha) (ya-la) (ra-la) (la ya - 3 ya+1 a (R fransoN kA saMkalana aura vyavakalana | (ka) (a + Matheate + (pa --- ka + + gha ya + 3 ya+1 + ya - 1 ya 3 ga (R ga) (ka - ga) -- ka ga) yarala 1 -ka) (a-ga) 1 (ta- tha) (ta- da ) www.kobatirth.org -ga) (a yada + thadha + dadha yara + patha + pha ya (ya- ra) (ya - la) pha phababha ba) (pha -- pha) (pa- ba) (pa paphabha We a) tatha + tatha + thadha (ta- da) (tha - da) (da - dha) NAG gha) gha) ka (a 1 akaga dha) bha) ba) (ba - bha) ( ya - ra) (ra --- ya 1 ya + 3 (ta ka Acharya Shri Kailassagarsuri Gyanmandir - gha) (ra 1 ra+para+ pha ra (ya- ra) (ra-la) For Private and Personal Use Only la) (ra 1 ba) (la 64 ya ya - 1062 + C/ a + ka + ga gha) (ka-gha) (ga gra + ga + gha (ka - + -ga) tada + ta + dadha tha) (tha da) (tha - dha) tatha + tada + yada ' (ta- dha) (tha - dha) (da - dha) - a) ga) (ka gha) patrabha la + pala + pha la ( ya-la) (ra (pha-ba) paphatra (pa-bha) (pha - bha) (ba bha) pha. 11 1 /

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139 raga, 4 bhinnapadoM kA guNana / 65 / rIti / guNyaguNakarUpa padoM ke aMzoM kA guNanaphala abhISTa guNanaphala kA aMza hai aura chedoM kA guNanaphala abhISTa guNanaphala kA cheda hai| isa kI upapatti / mAno ki aura ina do padoM ke dyotaka krama se ya aura ra haiM arthAt ya = a aura ra=, to kaya = a, aura ghara = ga, kaghayara = aga :: yara vA ax = aga yaha siddha huA / isI bhAMti tIna vA bahuta padoM ke guNana meM yukti jaano| 8ayA. 15aka udA0(1) 16 yAra ina kA guNanaphala kyA hogA? dAyara 15 araka ayax 15 aka guNanaphala hakara 16yara kara x16 yAra 130 akayA 14 karamA3 aza aura cheda ina donoM meM hakara pha na - X --... - --- 24 Rya kA bhAga dene se = udA0 (2) --------- bhAra 6kraya+ -ina kA gaNanaphala kyA hai| ka - - X ----- 4 aya+ 6 4 -8 guNanaphala = 55-10 kaya+ ka 2 (2 ya+3) 4 (ya-2) 5(ya-2) ika (2ya+3) 2a (2 ya+3) 8 (ya-2) 5(ya-2) 3 kA (2 ya+3) 15ka' - % 3D For Private and Personal Use Only

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bhicapadoM kA guNana / (a-ka) ( +ka). para+praka+kara udA0 (3) 3 3Ara - ina kA guNanaphala (a-ka)x (+ka)3 4 (a+ aka+kara) (a+kara) (a-ka) (a-kara) ( ka) (pra-ka) (a-ka) ( +ka)(a+ka) (+ka) (a+ ka+kara) (a+ka) (12-aka+ka)(a-ka) (a+aka+kara)(a+ka) (a-ka) (a-ka) (a+ka) a-kara 12-aka+kara 12-aka+kara' yara 5aya 2 udA0 (4) ++ + 2ya a isa ko - isa se guNa deo| pahile (30) veM prakrama meM (5) veM udAharaNa meM jisa bhAMti guNya ke nIce guNaka ko likha ke guNana kA prakAra dikhalAyA hai usI prakAra meM yahAM bhI nyAsa kro| yara 5aya aura - 2ya a ra: BR yA ayara 4 aya aura + + 7 ___ ayara aya ase hara 11 325 yA 43 ayara 43 aya 32 + 18 + 1 315 athavA pahile guNyaguNakoM ko sarNita karane se 4 +15 cayara +24 are. yara-. For Private and Personal Use Only

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141 bhivapadoM kA gunnn| aura phira ena kA guNana karane se 4 yAra+15 ayara + 24 ara 6yr| para 32 24 yara + 86 ayara + 126 ayara -24 ara 36 24 ya 86 aya2 129 ayara 24 ara 36 + 36 + 3636 2ya 43 ayara 43 areya are / 32+ 18 + 122032 ' no Upara guNanaphala huA thA vaisA hi huaa| kara kara udA0 (5) ka+ aura ka- ina kA guNanaphala kyA hai? .. + ka - kara yahAM a-ka kara aura +kara aka .. guNanaphala : a-ka ka - - aka-ka+kara aka -ka a-ka aka+kara -kara praka +ka +ka aka akara +ka -kara --- X -- - - abhyAsa ke liye aura udAharaNa / 8 za yarara e 3a ga. 6ga12 aya 14 aka ------ ---- aura --- -x5kagha 35kaghage kara 15 yara / ma aka ara+aka - ka ka praka-kara - X - -- C 4 ya+8 yara yala-3rala 6yala (3) 5 yara-5242yava + 2 rakha-rakha / For Private and Personal Use Only

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20 2ya+3ra +2 bhitrapadoM kA guNana / 2ya-3ra 4 ya3ya-ra (ya-4 X --- - - 1ya 3ya-6ra haya - X ya-5 ya+2 yara-3 ya-10 3 ya+8 2 -1 ya+5ya-4' 3 ya+ra 4ya- 12 yara-7 yara - 10 ra 5ya-ra 7ya+hara 553+38 yara-hara . ya+ a 7ya-2ka 14 ya+ (7-4ka) ya-aka 5 ya- ya-4 a 45 ya2- (20 a+ka) ya+4 aka 7yara-105+3 ya+6 +8 73+25 ya-12 2ya-- --- 103 ya2-4 ya+1 ya--17 ya+5 ya3+3 . ya+yara + ya + ra ya. -- 3 ya - yara + ya - ra'. 3yara 3ya (a-ka) a + ka a (ara-aka+kara) ' x ra-kara 1. ka , akara ^ 2- 2 =ka + ---- pra -kA a(a+ ka) 6aka ara-aka-kara (53) 2 ara -- 3 aka + ka 3 aka- 15 kara ara-6 aka+5kara a * 21 a+ saka-2kara-7 -2ka' (a+ka)2 are-kara a+3 aka+3 akarakara (a-ka) a+ kara a - aka + akara-ka3 / For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra (15) (16) (17) (18) (19) (20) (22) R (23) a ya yara + 5yara + 62 ya-26 zya +5ra A + a ya ya kare X a+2 ya+ra ya - ra 5+4 6 6 4 ka Duo a ka + ga -- ka X +9 x bhipatroM kA guNana / i + + ya+ra 2 ka gra 1 gha - 1 ) R / + ya 2 1 www.kobatirth.org ka - x A +4+3 (+9) ra ( + ka) (a + ga) (ka - ga) 2 kare ( ka) 5 ka ya + yara - 61 ya - 4 yara + 32 4 ka X + ka - ga ) + kara R + kare / X 6 1 a X ka X + x a ( ya +Rs ya - Rs ma a - en {~+=+=+}{@==1)} (:1) +9 x == 192 5 ka END Cai Zi ka ga x l =2 a - 12 +- 12 Acharya Shri Kailassagarsuri Gyanmandir ya-ra ya+ra -~ ka + For Private and Personal Use Only + ya - ghara - 61 28 + ra + 5ra2 ya T 4 a kare a + 2. ka + ga a - ga + 1 / - tha 2 ka Cai Shi Yi 1 kara ka car (a2+(2) (ya - Rs2 ) 2 - 143 - 1

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ya xraya+ra -- / 144 bhivapadoM kA bhaaghaar| (4ya+t)) ( 3 ) 1 yara-412) / = ya+ yara + + ( +ka)2 aI-kara a-ka (25) ara-kara (a+ka)3 * (a+ka) _ (ara - kA) (2+ ka') (a+ka) 5 bhinnapadoM kA bhAgahAra / ho / rIti bhAjaka ke aMza aura cheda ko palaTa deo arthAta aMza ke sthAna meM cheda ko aura cheda ke sthAna meM aMza ko likha denA phira aime bhAjaka se bhAjya ko guNa deo jo guNanaphala hogA so abhISTa bhajanaphala hai| isa kI upapatti / mAno ki dasa meM kA bhAga denA hai to bhitrapada kI rIti se ke yaha labdhi hogii| . aba isa ke aMza aura cheda ko kagha se guNa dene se, xgha adha = xyoM upapatra huaa| - 15 aya udA0 (1) yara isa kA bhAga deo| kAra isa me kara isa 15 azya yara 15 aya 16 akara = kara *16 akarakara yara ' 15 x 16 akara ---- isa meM aMza aura cheda ko apartita karane se kara raghara ka gxkagha kagagha For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 512 aka t2 xar udA0 (2) ( 2 + ya gra+ya + ya +ya) 2 x R 15 2 16 1.1 bhivAdoM kA bhAgahaura | 10 ka 3 ra 15 16 / + 3 pra 2 15 Ika 16 ya. www.kobatirth.org ya + ya 41 72 ka + 41 72 ka 10 . 18 ka + a ka a + ya (a + ya) udA0 (3) bhAga denA / yahAM (31) ve prakrama ke tIsare prakAra meM jo bhAgahAra kA vidhi likhA hai usa se bhajanaphala ke liye nyAsa | 1 3 ka isa meM 2 "ka" 135 ka + ka 96 20 nAka 144 ka 02 Acharya Shri Kailassagarsuri Gyanmandir X 3 - For Private and Personal Use Only yaha bhAvya aura + zra+ya 16. SA kara athavA pahile bhrAjya aura bhAjaka ko savarNita karane se, 135 ka + 82 ka- 96 27 ka 144 kara bhAjaka hai / aba bhAga dene se, - ya. ka. 1. ka - 12 ka 145 dUsa kA 16 yaha

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144 bhicapadoM kA bhAgahAra / 135 akara+2 aka-96 72ka 544 kara 27 aka-16 72 ka (135 araka+2 aka-66) 1 144 kre| 27 aka-16 . (5 aka+6) =-+-jo Upara bhajanaphala AyA thA sA hi hai| 2 ka a+kara udA0 (4) 12-kara -ka - isa meM a+ka - - isa kA bhAga dekho| . ara+kara a-ka yahAM 2 + ka ara+kara- (ara-2 aka+kara) ara-kara ara+kara-2+2 praka-kara para-kara bhAra -- ara-kara . ara a+aka-ara praka - ka ka +ka 2aka akamaka +ka 2 :.bhajanaphala =-- ara-kara +ka para-kara aka pra-ka + kara a-ka pAra-kara a+ka athavA, bhajanaphala = - ra yahAM aMza aura cheda ko a+ka a+ka- (a-ka)2 ara-ka se guNa dene se-- a (ara-ka)- a (a-ka) a+ kara - a+2 aka-kara aka - 2 ara-amara - A+ aka aka-akara a-ka For Private and Personal Use Only

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bhivapadoM kA bhaaghaar| 14. udA0 (5) - isa ko sarNita kro| . ka yahAM aMza aura cheda ko ka se guNa dene se 1 aka+1 + ka udA0 (6) - isa ko sarNita kro| + yahAM savarNana karane ke liye (5) ve udAharaNa meM ka ke sthAnapara ko rakhane se 40 ka + kaga+9 akaga+ +ga + - -- 5 - isa udAharaNa meM jo bhivapada nirdiSTa hai aise bhitrapada kA nAma vitatabhitrarAzi rakkhA hai| - udA0 (7) 1 meM ya+1 kA (31) ve prakrama ke tIsare prakAra se bhAga de ke vistAra se labdhi kho| For Private and Personal Use Only

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bhivapadoM kA bhAgahAra / nyaas| - - ityaadi| 1 + rtyaadi| rasa prakAra se yahAM ya+ ya ya ya ityAdi, yaha vistAra se labdhi hai| aba isa meM ya+1 rasa bhAjaka ke donoM padoM ko palaTa ke jo 1+ya isa kA 1 meM bhAga deo to .. -1-ya+4-+ ityAdi yaha labdhi pAtI hai rama se 1+ya yaha siddha hotA hai ki For Private and Personal Use Only

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bhitrapadoM kA bhaaghaar| 1-ya+ - + ityAdi =---+ - + ityaadi| ye donoM samAna pakSa paraspara atyanta alaga 2 rUpa ke haiM yaha bar3A hi camatkAra hai| abhyAsa ke liye aura udAharaNa / . -ya+rA ya+ra a-ka a-kA praka-kara praga-kaga 3ka U (a) {1-4} + {",}-- 5 1 + ya 1 +ya +2ka 3 -5ka 2 - ka - ka -13aka+5kara (2) a.} * (a-2}= 1 - 4 2ya+- - 1 . + -+ka 5 = -+ +kA kA 'ka () {2 } {44-4}-. + ra - 27 For Private and Personal Use Only

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150 ' ya+3yara+2 ya-3yara + sya-25 4ya-1 ' bhicapadoM kA bhAgahAra / ya2+5yara+6 ya+2yara-312 0 (11) - 6 -5 ghara + 3 +2yara- ya+ ya-10 ya-ya-2 ya-2ya-1 12 yara-17 ya-5 2a + 7 aka+2 akara-33 30 a +31 aka-25 akara-63 +14 aka-27 aka+kara 10 a-23 aka-6 akara-12 kara ara-3 aka-4 kara 12 - 17 aka+6kara ( ka (2 a-ka)) (a-ka)2 / a-ka a+ka - " + ka gara ka ga + ga +ka + ka + 15 3 a a kara 15 ara) 115ya 14ya (7 are 5ya 3) 22 5 2 - 3ya yara / 137 2- SIS 2 rI + 201m 310 For Private and Personal Use Only

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bhitrapadoM kA bhAgahAra / - IY a+kara ara-kara) (a+ka a-ka) praka ka + ka re +kara +ga ka+ga ka + ga (ya+ +ga ya-1) (ya+ra ya-ra) yara (ya- +-11-yara)-yayanarata yara-aya+ka ya+ aya+ka praya -- ya + ka ya+ aya+ka'yara-aya+ka ya-5 ya-3'ya-1 hai ya-. 3ya (ya-5). hai - + - +ya+4 ya+1 ya+2 ya+2ya-3 1 2 3 ya+5ya+4 2 (ya-1) ya+2' (ya+3) pra+5 pra+2 a+2 + 5 3 (2 +9) a+5 +2 2 +14 +29 +2 +5 For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 155 (20) (38) (SC) zratha kacha (31) ya + 'are - ya are + ya atha + kara gaya- ghara Atha + kara gaya - ghara (30) (a + ka ya (32) ta + (33) a + tha + ka ga+ + gadha praja ghacha kabhA ca bhipaDoM kA bhAgahAra / gaja Wh ya da+ www.kobatirth.org a- ya Jing Lu ja gaya + ghara cAya - kara gaya + ghara cAya - kara gha Rs / 1 za ga e +2ka) - thara tha - ghabha 'are - ya + (a + ga9) ya (a' - ga2) ya ya - 3ya - 2 Acharya Shri Kailassagarsuri Gyanmandir Lai + For Private and Personal Use Only ga y+r| ca - tha / zraya a e+ya a + ka - ga ka+ga ka + ga + 2 zraya / (ka' + gha1) ra (kara -gha) ra tathadadha + tatha + tatha dadha +9 thadadha + tha +dha pragacaja+gaka+dhana+kacana+kacha gacaja + k + ghana '

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Shri Mahavir Jain Aradhana Kendra (34) yaha siddha karo ki a - ya a + ya pra (35) yaha siddha karo ki udA0 TO (9) ghAta kyA hai aura I. - frandoM kI bAta kriyA / tha ya e -28 + 1 ya nyAsa / 1 praya da 2ya 281 283 + 2 www.kobatirth.org 2 ca ka 6 bhinnapadoM kI ghAtakriyA | 67 / rIti / uddiSTa pada ke aMza kA vargAdi ghAta kre| vahI abhISTa ghAta kA aMza hai aura cheda kA vargAdi ghAta karo vahI abhISTa ghAta kA cheda hai / isa kI upapatti bhitraguNana kI kriyA se prati spaSTa hai / 2 a ka + isa kA aura isa kA varga isa kA varga atha T ya = caturghIta ghana = + ityAdi / + ya 2 ka 4 isa kA varga, 2 a ka 2 2 ca ka Acharya Shri Kailassagarsuri Gyanmandir 4 + ityAdi / For Private and Personal Use Only dhana aura (2) (2) 3 kare (2) 4 ka 2) 2 adhya (T) 8 lj 2 kare 16 153 catu

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154 bhicapadoM kI ghaatkriyaa| ( aya) 3 (-aya)3 -ayara 3 ghana = 1- = , vAI / aya) 4 (-aya) aya' caturdhAna = 1- (2) udA0 (2) ya+ya-1 - isa kA.varga aura ghana kaho / ya - ya+ya-1 . (ya+ya-12 ya+zya-ya-2ya+1 - isakA varga- . ya+raya-2 (ya+raya-2)2 ya+8 ya-8ya+8 '. (ya' + ya - 1)3 ya+3ya - 5 ya+3ya-1 ghana = (ya+2ya-2)3 ya6+6 +6ya - 16yaH-12 ya+24ya udA udA. (3) aya+ ya - isa kA varga aura ghana kyA hogA? nyaas| ya+ya nyaas| 12+ gara + ya - - " ma - -- IY artha = ra aAraka For Private and Personal Use Only

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bhitrapadoM kI ghaatkriyaa| 155 2 varga = --ya+ ka -ya-ya--ya+ . . - - (aya+akaya-kara athavA aka azya +2 akaya - akarayara-2 akaya+ka' akara (praya+akaya-kara) 3 aura ra-ya + ya - ra-gara praka ___ aya+3 akaya-5 akAya + 3 akazya-ka akare a . 3 are .... 3kara kare = ya+ ya - 5 ya+ ya-joUpara varga aura ghana siddha hue the vaise hI ye bhI hue| abhyAsa ke liye aura udAharaNa / zyA 24 yara / zya) 3 saya For Private and Personal Use Only

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bhiSapadoM kI ghaatkriyaa| 3akara) 2 ( ka kara) 3 27 akara 125 yAra 2 32-2ya+1 ya+raya+ rA - ra-2ka+ AN 3 24cA - +- -- - 3kA 20 144 + 2 20 +2) (a+ 2 HU 2 kara 15 ga kaca * +2ga kagare - ya ka - - ya+ a . ka . saya 31) 2 gara. 2 / rA a sarara yara 4ya 4 For Private and Personal Use Only

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bhivapadoM kI muulkriyaa| PH0 2) 2 + aya+ +-- 'ya- ya2-2 aya+ -ya+2 praya+ a +4 aya+5 + + + ityaadi| rasAra - - - - - - - - kaga 104 gare gare / 0 (13) 2-ya + -ya-- ----ya (3 24saya -ya --ya -y---| 32 64 ka) 3 3 ya 3kaya - ka + ka + a 'are| - - 0bhinnapadoM kI mUlakriyA / htt| rIti / uddiSTa pada ke aMza kA vargAdimUla lenA vaha mala abhISTamUla kA aMza hai aura cheda kA dhAdimala le vaha abhISTamala kA veda hai| yaha rIti ghAtakriyA kI rIti se ulaTI hai isa se dasa kI upapatti ati spaSTa hai| 25 pa ra isa kA dhargamUla kyA hai? udA0(1) - For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra A nyAsa | udA0 (2) yahAM (35) 25 42 49 ka jaisA a aka 2+ udA0 (3) ve prakrama kara + a 2 pra ka ka R fransoN kI mUlakriyA / ka isa kA vargamUla ka yahAM vargamUlaka - yaha bhI usa kA vargamUla haiM / 20 ghanamUla kyA hai ? www.kobatirth.org se mUla - ka yaya - 2 isa kA vargamUla kyA hai ? -R+ athavA uddiSTa pada ko sarvArNita kara ke vargamUla lene se bhI yahI banate haiN| 2+ isa kA vargamUla A ka ka a lene ke liye nyAsa | 25 aya' isa kA vargamUla 49 kara+- isa kA vargamUla 5 ya 7 kara 5 7 kara i at, 1584 + 28 8 12 2 Acharya Shri Kailassagarsuri Gyanmandir yaha AyA isa ke dhanatva ko palaTa dene se vA, A ka a ka ka zra 4058 2 64 Rs4 4 2 ka + ka prakara ka ka aura gra a For Private and Personal Use Only 1 129 ya 1285 isakA vargamUla pra 1 ka SSC 51216 isa kA

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bhitrapadoM kI mUkriyA yahAM (36) ve prakrama se mUla lene ke liye nyAsa / 9 ya 15ya 405 yara 729 ya 729 yara 3ya 20 ra 64128255126(3 ra / 2 - - 3/ ya 2 ya ya 2753 (2 3ya)3 3 ya, 3ya 1/ya ya 15 yara 405 yara 729 ya 29 (yara 3ya 8 0 ra 264 ra 128 511632 udA0 (4) a + ya isa kA vistAra se vargamala kaho / yara 25 ya nyaas| a + ya (a+ - + , ityAdi / - - - NAAMH - - 2 + +yara kA yara ya- 2) -- + -- - ya yA + ya yaha yo ya . ya pra 4 aI '16 a isa prakAra se ityAdi / For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra (1) + ya* isa kA vargamUla a + (2) (8) (5) (6) (0) 16 ka 25 gaM 20 adhyakSa 64 kara are (ka- ga) 3 8 ( a - ya ) 6 ya ( - ya) 4 (a+ya) 4 = (8) 81 www.kobatirth.org freedoM kI mUlakriyA / ya ya isa kA vargamUlaM = = 54 isa kA ghanamUla 4 ya - 12ya + c ya+8+16 7 abhyAsa ke liye aura udAharaNa / 32 15810 243 (a + ya) 2 (ya - 2 ) 10 22 3 (a + ya) (ya - 2)2 4 ya 8 ya 20Rs + 25 ra 15 ra 20 ya 2 gra 8 + 2ya 2 5ra 5ra 3 lya isa kA ghanamUla = 1 + 3 4 ka isa kA caturghatamUla deg isa kA vargamUla 4 aka 5 ga 25 (1 92726 245 81 ya ya 35 + Acharya Shri Kailassagarsuri Gyanmandir a (ka 16 4 ya 1 isa kA pajvaghAtamUla 25 For Private and Personal Use Only ityAdi hai ga) * gha) 2 1 ya (a tha) (+gha) 28-3 ya +8 isa kA vargamUla 1 isa kA vargamUla 1

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Shri Mahavir Jain Aradhana Kendra (<) (10) (11) (12) EC (14) vargamUla * + = ka a + ka aka 2 + 3 3ya + 1 (13) ya + ya - 1 25 2 (ya- 3) ya 166 ya 4 3 58 + v + 13 6 ya2 - 10 ya - 4 + 16 ya - ya ya (ya + 1) 4 (ya + 2) 4 +3 / (ya +1) (ya + 2) 1 bhitrapadoM kI mUlakriyA / 6 (a + kara) aka 2 ya 2 ra ya fre Gugg www.kobatirth.org +8 (tha + 5 25- 4 3 {: d-b- la 2 (ya- 1) ya 5ya3 Rs3 ya + (ya + 1) 2 (ya, + 2)2 (ya + 2) (ya. + 1) + 11 isa kA vargamUla ya t 8 16 - 3 daya +2 / Acharya Shri Kailassagarsuri Gyanmandir isa kA vargamUla isa kA vargamUla + 28 isa kA vargamUla (ya +2)2 (ya + 1) 2 + 8 isa kA vargamUla For Private and Personal Use Only +8 (ya +2) 4 (ya + 1) 8 161 ya+1 ya+2 1 isa kA

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bhinnasambandhi prakIrNaka / yA 15 ra 319 16RC (15) + + + 13 +4 isa kA vargamUla ra ra ya2 + + tyA 25 ra 273 - isa kA ghanamUla =--- ra zya kara 'zya saya 32+2 2+ 1 ya+20--- 4 12+ --- ya -4 ya -1 ra isa kA ghanamala ya + 9 1+ - ya- +3ya+ (19) a + aka isa kA vargamUla = a +:- + kara - ityaadi| (20) ya+ 1 isa kA ghanamUla = ya+ 1-+ ityAdi / I +51 ka 5 ( 8 bhinnasambandhi prakIrNaka / chedagama / haha / paraspara samAna dhA viSama do pakSoM meM yadi eka vA aneka bhijapada ho to jisa kriyA se una do pakSoM kA sAmya vA vaiSamya na For Private and Personal Use Only

Page #180
freembandhi prakIrNaka Bao Cheng Jian bigAr3a ke una ke cheda vA chedoM ko ur3A dete haiM usa kriyA ko chedagama kahate haiM usa kA prakAra yaha hai / uddiSTa do pakSoM meM jo bhitrapada hogA usa ke cheda se vA aneka bhitrapada hoM to una ke chetroM ke guNanaphala yA laghutamApavartya se una donoM pakSoM ko guNa deo / isa se saba cheda ur3a jAte haiM / isa chedagama se pakSoM kA sAmya vA vaiSamya nahIM palaTatA / isa kI upapatti dUsarI aura pAMcavI pratyakSa bAta se spaSTa hai / udA0 (1) ya + yU. + yU - - 3 ya -- udA0 (2) Acharya Shri Kailassagarsuri Gyanmandir = 3 + 10 yahAM chedagama karo / isa meM chedoM kA laghutamApavartya 12 hai isa se donoM uddiSTa pattoM ko guNa dene se, 128 + 138-128 36 ya + 92deg, isa meM pratyeka bhitrapada ko laghutama rUpa dene se, 128 + 6ya - 4yaya + 120, saba cheda uDa gaye / va ya+ + ya + 3, ya + 3 = 5 - 4 - isa meM chedoM ko ur3A deo / 4 yahAM pakSoM ko 24 se guNa dene se, 4ya + 6 + 18 = 120 - 128 + 21 / yahAM jo bhitrapada RNa cihna se jur3A huA hai usa ke aMza ke saba padoM kA cihna palaTa diyA hai kyoM ki usa aMza ko ghaTA denA hai / athavA yadi uddiSTa pattoM ko isa rUpa meM likho ya+The (ya + 3 = 5 - 6 (4 ya - 9) kSetrao aura phira ina ko 24 se guNa 4ya + 6 (ya + 3) = 120 - 3 (4 ya - 7) arthAta, 4ya + (6 ya +18) - 120 - (128 - 21) For Private and Personal Use Only

Page #181
Shri Mahavir Jain Aradhana Kendra 164 fresambandhi prakIrNaka / aura (24) ve prakrama se koSThoM ko ur3A deo 4ya + 6 + 18 = 120 - 12 + 31 to bhI pahile jaise chedagama se pata www.kobatirth.org 70 / isa prakrama meM viSama pattoM ke chedagama ke kucha udAharaNa likhate haiM / ina meM yara ityAdi akSara dhana saMkhyAoM ke dyotaka jAno / (2) yaha siddha karo ki ya udA0 (1) yaha siddha karo ki + yaha sarbadA 2 se bar3A hotA hai| yahAM > bA 2 + chedagama se, 2 + '> vA < 2yara paraMtu (30) ve prakrama meM siddha kiyA hai ki yadeg + Rs > 2 yara hue yahAM chedagama se, yU + > 2 yaha siddha huA / spaSTa isa se hai ki koi bhitrapada aura usa kA vyastapada arthAt usa kA 1 meM bhAga dene se jo labdha hogA ina donoM kA yoga kabhI .2 se choTA nahIM ho sakatA / ra pakSAntaranayana se parantu the vaise hi hue | Acharya Shri Kailassagarsuri Gyanmandir + + >vA < ya+ra a2+c2 >al< at (a+1) bA, ( ya e-yara + 2) (ya + ra) > bA < yara (ya + ra) ya - ghara + 1' > bA < para ya+1> vA <2 yara ya' + Rs > 2 yara - yaha ya +ra isa se adhika hotA hai / For Private and Personal Use Only

Page #182
Shri Mahavir Jain Aradhana Kendra nyAsa / chedagama se, pakSAntaranayana se, bhivasambandhi koka | + > ya + ra yaha siddha huA / (3) yaha siddha karo ki yara yaha yara isa se nyUna hotA hai / www.kobatirth.org udA0 (8) Rs, va, yU. la. yara ya+ra> vAya+ 4 yara > vA < yara +2 yara + Rs* 2yara > vA < ya + aura ya+la+za + ra+va+Sa+hai Acharya Shri Kailassagarsuri Gyanmandir parantu 2yaha ta, aura yUtha, laya, yara ya+ra yaha siddha huA < / ye cAra yaha pada siddha karo ki bar3A ho usa se choTA hogA aura jo saba se choTA ho usa se bar3A hogA / . za 65 yahAM kalpanA karo ki uma: cAra patroM meM saba se choTA pada ya haiM hai aura mAnA ki ina donoM padoM ke zataka : aura saba se bar3A pada haiM krama se ta aura tha haiM / (dhana) bhitrapada haiM to yaha una cAra padoM meM jo saba se >ta aura sUtra ta zaratha aura sa= tha For Private and Personal Use Only .. ya - tara, la > tava, za> tapa aura sa> taha aura ya< ghara, lara thA, za yatra aura. sa. - yaha... jaba ki saba bar3e padoM kA yoga choTe padoM ke yoga se bar3A hotA hai.

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bhivasambandhi prakIrNaka / :. ya+la+za+sa>ta (ra+a+ + ha) pAra ya+la+za+sata aura < tha / yaha siddha huA / isa udAharaNa meM jo cAra bhitrapadoM kA guNa dikhalAyA hai vahI do Adi aneka padoM meM bhI rahatA hai aura yaha isI Upara dikhalAI huI yukti se siddha hotA hai| abhyAsa ke liye aura udAharaNa / (1) yaha siddha karo ki yara yaha sarvadA yaha isa se choTA hotA hai jo ya se ra choTA ho| - (2) yaha siddha karo ki ya + yaha + 1 dasa se bar3A hotA hai jo ya = ra na ho| ___ (3) yaha siddha karo ki ya+ yaha+1 isa se bar3A hotA hai jo ya=ra na ho / arthAt koi bhitrapada aura usa kA vyastapada ina ke yoga se una ke vargoM kA yoga sadA bar3A hotA hai| (4) yaha siddha karo ki yA + ya yaha + isa se bar3A hotA hai jo ya =ra na ho| 71 / isa prakrama meM bhivapada saMbandhi kitane eka upayogi siddhAnta likhate haiN| pahilA siddhAnta / jo yaho toyala hogaa| isa kI upptti| + T AN For Private and Personal Use Only

Page #184
Shri Mahavir Jain Aradhana Kendra fresambandhi prakIrNaka / jaba ki = taba (18) ve prakrama kI dUsarI pratyakSa bAta se ya+1+1, arthAt ya+la = ya - ra aura yU - 1 = bala - 1, arthAt - isa liye usI pratyakSa bAta se ya+T ya - ra la + va ra va arthAt ya .. = +1 X ya + ra pratha kara .. arthAt dUsarA siddhAnta / jo ya aura aya gaya isa kI upapatti | ba - arthAt 447 anumAna / jo ya+rla - vahA to ya= ra la+ba ya ra va - - - hogA / isa kI yukti Upara ke prakAra ke viloma vidhi se laba yaha siddha huA / | / - kara ala kava ghara gala ghava www.kobatirth.org aya + kara gaya + ghara = kara ghara aya + kara kara gha (Aya + kara ) ka (gaya + ghara) X aya + kara gaya + ghara taba = : +9= 14 isI prakAra siddha hotA hai ki gaya + ghara, ghara aba (18) ve prama kI dUsarI pratyakSa bAta se, cala + kA kava X I trAla kava + 1 arthAt aya + kara kara + - gha va ho to la ghara gaya+ghara aya cala = kara kava ala + kaTA gala + va gha (ala + kava) ka ( gala + ghava) Acharya Shri Kailassagarsuri Gyanmandir praya + kara cala + kA gaya + ghara gala + ghava = ala + kA kava 1 1 For Private and Personal Use Only = X spaSTa hai / ala + kaTA kava gala + ghava ghava gala + ghava ghava yaha situ huA 1 f 1 ghava gala + ghava 1 1 160

Page #185
bhivasambandhi kaaryk| - isI prakAra se jahAM apara donoM pakSoM meM 1 bAr3a diyA hai vahAM 1 ghaTA dene se yaha siddha hotA hai ki aya-kara = gl-kv| anumAna / isI Upara kI yukti se yaha bhI turaMta siddha hotA hai ki joyala ho to, praya+kara al+kv| gaya-baragala-ghavA gaya+ghara gala+ghava / tIsarA siddhAnta / bhitrapada ke aMza aura cheda ina donoM ko kisI eka hi pada se guNa deo vA bhAga deo to bhI usa bhitrapada kA mAna bigar3atA nhiiN| yoM pahile (58) ce prakrama meM dikhalAyA hai paraMtu kora eka hi pada nor3a deo vA ghaTA de to aisI sthiti nahIM rahatI so isa prakAra se (1) kisI (dhana) bhitrapada ke aMza aura cheda ina donoM meM jo koI eka hi (dhana) pada jor3a deo to aMza se cheda jaisA bar3A vA choTA hogA usa ke anusAra usa bhivapada kA mAna bar3A vA choTA hogaa| isa kI upptti| mAno ki yU maha bhitrapava hai para aura kora pada hai| aba jAnanA cAhiye ki yaha ya dasa se bar3A vA choTA hai arthAta a > vA vA < yara + aya : ara > vA < aya arthAt > vA < ya isa se spaSTa prakAzita hotA hai ki ra jaisA ya se bar3A yA choTA hogA usa ke anusAra yaha isa se bar3A vA choTA hogA yoM siddha For Private and Personal Use Only

Page #186
bhitrasambandhi prkiiryk| . (2) kisI (dhana) bhitrapada ke aMza aura cheda ina donoM meM jo koI eka hi (dhana) pada ghaTA de to aMza jaisA cheda se bar3A vA choTA hogA usa ke anusAra usa bhitrapada kA mAna bar3A vA chodA hogaa| isa kI upapatti / mAno ki eka bhivapada hai aura a yaha koI pada ya aura ra ina donoM se choTA hai| taba ya-a > vA < chedagama se, yA- ara > vA < yara-aya pattAntaranayana se, aya > vA < ara arthAt . ya > vA < ra isa se spaSTa hai ki ya jaisA ra se bar3A vA choTA ho usa ke anusAraya-yaha isa se bar3A vA choTA hogA / yo upapatra huaa| cauthA siddhAnta / kisI bhitra rAzi ke dhAdika ghAta bhitra hi hote haiN| isa kI upapatti / mAno ki uddiSTa bhitra rAzi kA laghutama rUpa hai arthAt isa meM a aura ka ye paraspara dRDha haiM to (45) ve prakrama ke caudhe anumAna se ara are, ityAdi pratyeka kA, kare, ka ityAdikoM se dRDha hoMme / isa liye a a a . kara 'ka' ityA ityAdika saba bhitra hi hoNge| yoM upapatra huaa| 72 / isa prakrama meM ghAtamApakoM se gaNitaprakAra dikhalAye haiN| - (1) a isa meM akA bhAga diye mAna lo yaha nIce likhI huI padoM kI paMkti utpanna hotI hai / For Private and Personal Use Only

Page #187
17. bhiSasambandhi prakIrNaka / pa, are, ara, bha, 1, 1, 5, 1, 1 ... ... " are are are . yahAM pahile tIna padoM ke ghAtamApaka uttarottara eka eka kara ke nyana hote gaye haiM isI krama se caturtha Adi padoM ko likhane se una kA dUsarA rUpa bnegaa| so aisA a, a, a, a, aaaa ... ... arthAt a, 1, 1, ..... ityAdika padoM ke krama se a', a', a a a a ityAdika rUpAntara haiM / :: ano, 1 = aM,' - aa. ameM, ityaadi| isa se yaha jAna par3atA hai ki jahAM adeg aisA cihna AvegA tahAM usa kA mAna 1 hai arthAt hara eka rAzi kA zanya ghAta 1 hotA hai / aura isa se yaha bhI spaSTa siddha hotA hai ki kisI pada ke ghAtamApaka kA RNa cihna palaTa ke usa ko aMzasthAna se nikAla ke chedasthAna meM vA chedasthAna se nikAla ke aMzasthAna meM likhane sakate haiN| __* a = a aura zra' = 1 ye do rUpa prakArAntara se bhI siddha ho sakate haiM so aise jaba ki 1 ko kisI pada se do bAra guNa deo to guNanaphala usa pada kA dvighAta arthAt varga hotA hai, tIna bAra guNa deo to trighAta arthAt dhana hotA hai, cAra bAra guNa denI to caturyAta hotA hai ityAdi, taba isa se spaSTa hai ki 1 ko a se eka bAra guNa deo to guNanaphala zra kA eka ghAta hogaa| paraMtu 14 = zra.:. a = a yoM siddha huprA / isI bhAMti 1 ko ase zUnya bAra guNa dezI arthAt kisI bAra na guNo to spaSTa hai ki 1 jyoM kA tyoM banA rahegA isa liye a = 1 isa se yaha bhI suraMta siddha hotA hai ki 0 = 1 arthAt zUnya kA bhI zUnyaghAta ? hotA hai| For Private and Personal Use Only

Page #188
bhitrasambandhi prkiiryk| 171. (a - ka) - (a) (7) ( +ya)na = -- ( +ya)-na' (2) jaba ki aM= xxx ityA0 na guNya guNakarUpa pada aura = xxx .ityA0 ma guNyaguNakarUpa pada, jaba na aura ma saMkhyA dhanAtmaka aura abhinna haiM, to x x x ityA0 na guNyaguNarUpa pada x xx ityA0 ma guNyaguNakarUpa pada =xxx ityA0 (na+ma) guNyaguNAkarUpa pada = ( veM prakrama se) ama isa se spaSTa prakAzita hotA hai ki kisI eka hi pada ke do ghAtoM kA guNanaphala usI pada kA vaha ghAta hotA hai jisa kA ghAta. mApaka una guNyaguNakarUpa ghAtoM ke ghAlamApakoM ke yoga ke samAna hai| For Private and Personal Use Only

Page #189
Shri Mahavir Jain Aradhana Kendra 172 na (3) jaba ki o = aura na to, a = at, - (*) ma = pra = jaba na aura ma ye donoM dhana aura abhinna saMkhyA haiM, a = na-ma. ma a ma ca na ma Lao freerafia watrNaka / a x x x ityA0 na guNyaguNakarUpa pada www.kobatirth.org -ma x x x ityA0 ma guNyaguNakarUSa pada aXX ityA0 (mana) guNyaguyA karUpa pada yadi ma se na choTA ho a x x x ityA na guNyaguNakarUpa pada a x x a ' x ityA0 ma guNyaguNakarUpa pada = a X a x ityA0 (na - ma) guNyaguNakarUpa pada yadi na se ma choTA hove, na na-ma (1) x =a t Acharya Shri Kailassagarsuri Gyanmandir isa se spaSTa hai ki yadi bhAjya aura bhAnaka krama se kisI eka hi pada ke ghAta hoM to bhajanaphala bhI usI pada kA ghAta hotA hai jisa kA ghAtamApaka bhAjaka ke ghAtamApaka ko bhAjya ke ghAtamApaka meM ghaTA dene se jo zeSa bace usa ke samAna hotA hai / (4) yadi kisI eka pada ke do ghAtoM ke ghAtamApakoM meM eka vA -donoM hoM to bhI una kA guNana meM aura bhAgahAra meM savarNana krama se isa prakrama ke (2) he aura (3) re prakAra se banatA I jaisA X R = tra na-ma = naH -ma - (na+ma) For Private and Personal Use Only

Page #190
bhiSasambandhi prkiirnnkaa| - ma na +ma (4) a -n-m)| kyoM ki, *-bha, 7 X -na+ma) X na+ma - -na-ma) aura, a 10 (5) jaba ki ve isa kAma ghAta = (ama = axxx ityA0 ma guNyaguNakarUpa pada = bra+na+na+ ityA0 mapaTa isa prakrama ke (2) re prakAra se to isa se siddha hotA hai ki uddiSTapada kA abhISTa ghAta vahI pada hai jisa kA ghAtamApaka uddiSTapada kA ghAtamApaka aura abhISTaghAtamApaka dana ke muNanaphala ke samAna hai aura jisa meM malapada vahI hai jo udiSTapada meM hai| isa kA (E) jaba ki a dasa kA ma ghAta yaha hai to ama maghAtamUla a yaho hogaa| arthAta aisA phalita huA ki manamanamama / For Private and Personal Use Only

Page #191
Shri Mahavir Jain Aradhana Kendra 104 freembandhi prakIrNaka / isa se siddha hotA hai ki uddiSTapada kA abhISTamala vahI pada hai jisa kA ghAtamApaka uddiSTapada ke ghAtamApaka meM abhISTamUlamApaka kA bhAga dene se labdha hotA hai aura jisa meM mUlapatra vahI hai jo uddiSTapada meM hai / jaisA (4) 10 10 2 5 na=== 3 (2) / ha a = = (3) =a= a jaisA (4) aeN=== a = Tha tra= dma, , aa, isI krama se a= / atre, = 2 2 va / pa pha a x aca r pha pa ba pha bha aura a : zra www.kobatirth.org a-a, a=a na na ma grana =tra, isa se yaha spaSTa prakAzita hotA hai ki ghAtamApaka kA cheda mUlamApaka hai / (7) yadi eka hi pada ke do ghAtoM ke ghAtamApaka bhitra hoM ta bhI una kA guNana meM aura bhAgahAra meM savarNana krama se isa prakrama ke (2) re aura (3) re prakAra se hotA hai / pa ba pha bha na/ma ba prabha+phA bha phabha 116 Acharya Shri Kailassagarsuri Gyanmandir a prabha- phana phabha a = gra For Private and Personal Use Only

Page #192
Shri Mahavir Jain Aradhana Kendra freembandhi prakIryAka / yahAM pa, pha, ba aura bha dUna kI saMkhyA abhinna haiM / isa kI yukti yaha hai / pa va pha bha mAnA ki a aura a to isa prakrama ke (5) ve prakAra se pa (5) pha pha = ya, aura :: pabha .. x ba bha aura (a)bha vA a=1* / pabha a prakAra se isI bhAMti = = gha, phabha =ya, pakSa phabha pa vA caya pabha - phaba pabha www.kobatirth.org phaba phabha phabha = ya x ra ; vA -- R = pha aura a pa ba pha * isa prakrama ke (6) ve prakAra se, yara vA *x = (9) yaha siddha karo ki pa pha mAno ki a = phaba Yi Tian = ya phabha phabha phaba k pa pha tha, tA. ca = ya, phaba phabha = ra = 1, bha =ya = pa kha bha .. isa prakrama ke (6) ve prakAra se yuvA ca = = phabha phabha pa ba paba pha bha phabha =tra pha 1 pabha + phaba Acharya Shri Kailassagarsuri Gyanmandir aura a vA paba phakha = ya (yara) /ra athavA isa prakrama ke (3) For Private and Personal Use Only 1 pharma patra phabha 1 1 17 pabha + phaba phabha prabha- phaba phabha

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Shri Mahavir Jain Aradhana Kendra 196 fresambandhi prakIrNaka | isa se spaSTa prakAzita hotA hai ki isa prakrama ke (5) ve prakAra meM jo nama yaha savarNana kiyA hai isa meM na aura ma kI saMkhyA a, dhana vA RNa vA abhitra vA bhitra hove / = pa 'pha (1) ax aba isa prakrama kI vyApti dikhalAne ke liye kucha udAharaNa likhate haiM I pa pha (2) aX ya pha ba bha (4) a": ba * (3) a Yu ba -pabha-phaba bha phabha ba pha bha = R www.kobatirth.org prabha-phaba phabha pabha+phaba phabha bapha-pabha phabha 12-h-h pa pha ba aura bhI, a x *x = a (6) a x x = = -ba phaba- pabha phabha yabha+phaba phabha a paba pa (v) (3) (9) ( pha pha (5) phabha a , aura prabha+phaba phabha 1 yabha-babha phabha gra ba paba phabha bha == R , pa-pha-ba Acharya Shri Kailassagarsuri Gyanmandir _pa+pha+ba pa pha. pa-pha -kha (7) ( : ) : a = a /catra pa - pha+ba For Private and Personal Use Only ba * ba (C) ((A)")= cakya sAra {(A)-pha} _apacaya = paba phabha = pra paphA

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bhivasambandhi prkiirnnk| 100 paphabA ra pApha ba paphaba pa pha paba phaba (10) (ka) =aka aura (akaba= abkaa| 73 / isa meM kucha upayogi gaNita prakAra dikhalAte haiM jo sAdhAraNa roti se utpanna hote haiN| ya + , -yara+para+T. (1) ya-i-1,yaM-+-ya+ra.yai- = ya+para+r', ityAdi / to isa se yaha jAna paDatA hai ki ya-ra" yaha ya- dasa se niHzeSa hogA no ma saMkhyA dhanAtmaka aura abhinna ho / arthAta ya-1-4-'+ma-r+A + ityA0 + yasa-+F(2) jaba ki yaF-1, " ya ma -1 raya ra+ityA0+yara + T + +ra ya ya ya -ra + ya+ra' me yara - ghara +ra, 2-yA + ra, 2 ya+1 ya-yara + yara-1+2 yikara ya+ra yakara ya - ya +yara-yara+ra", + I = ya-yara + yararayara+yara'-'+cara HAR 87+ya - ya yA -12 ityaadi| 13 For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 10: bhitrasambandhi prakIrNaka / to isa se spaSTa hai yadi ma yaha koi dhanAtmaka saMkhyA viSama ma ma ho to + yaha ya + ra se niHzeSa hogA / arthAt ma ya +ra ya +ra ma ma - 1 ma =ya www.kobatirth.org ma ya - ra ma- 1 ya + ma-2 -- ityAdi - ya ma-2 ya ra+ya ma ma aura jo ma koi dhanAtmaka saMkhyA sama ho to ya + Rs isa meM ya + ra kA bhAga dene se 2ra yaha zeSa bacegA isa liye jo ma koi dhanAtmaka saMkhyA sama ho to ya + I se niHzeSa hogA / arthAt ma-2 ma-3 - ya - ya ra+ya T Acharya Shri Kailassagarsuri Gyanmandir ma ma 2 vA ityA0 + para ma- 1 +ra ma-2 ma -ra yaha ya +ra For Private and Personal Use Only ma - 1 | - ra 74 | yaha spaSTa hai ki jaba koI rAzi ghaTate 2 zUnya ho jAva taba phira vaha aura nahIM ghaTa sakatA isa liye aise ghaTane ko usa rAzi kA parama hrAsa kahate haiM / aura jaba koi rAzi bar3hate 2 aisA bar3ha nAve ki jisa ko koi iyattA arthAt parimANa na kara sake taba usa kI parama vRddhi hogI / isa liye aise bar3he hue rAzi ko ananna rAzi kahate haiM / jaba kisI rAzi kA parama hrAsa ho jAtA hai taba usa ko 0 dUsa cihna se yotita karate haiM aura jaba koI rAzi ananta ho jAtA hai taba usa kA mAna dikhalAne ke liye 0 yaha cihna likhate haiM / (9) = ga isa meM yadi a kA mAna sarvadA ekarUpa rahe to spaSTa hai ki jyo 2 ka ghaTegA tyo 2 ga bar3hegA isa liye jo ka kA parama hrAsa hove arthAt ka zUnya hove to ga kI parama vRddhi arthAt ananta hogA /

Page #196
bhitrasambandhi prakIrNaka / :: a = aura :: a 0 n aura a = / (2) jaba ki ax0 = 0,to : = a, :: 040 = .:. : =0, aura :: a = >> .:. a. vA, : = >> / aura bhI :: = >> .:. a.a = >> 0 ___ arthAt a vA , : = isa se yaha siddha hotA hai ki isa kA vA isa kA mAna koI sAnta arthAt paricchinna rAzi vA zanya vA ananta bhI hotA hai| (3) kabhIra bhitra pada meM kisI eka rAzi kA utthApana karane se usa bhinna pada kA rUpa aisA : vALa aisA ho jAtA hai| kyoMki usa ke aMza aura cheda meM aisA eka khaNDa rahatA hai ki jisa kA mAna * vA >> hove / parantu : vALa isa para se usa bhitra pada ke vAstava mAna kA jJAna nahIM hotA isa liye aMza aura cheda meM jo khaNDa * ke vA ke samAna ho usa ko baiMka dene se usa bhivapada ke vAstava mAna kA jJAna hogA / aura vaha khaNDa aMza aura cheda kA apavartana hai isa liye vaha (48), vA (48) ve prakrama se spaSTa hogaa| isI yukti se bhAskarAcArya jI ne lIlAvatI ke vavidha meM kahA hai ki khaguNazcintyazca shessvidhaa| zUnya guNake jAte khaM hArazcet punastadA rAziH // avikRta eva jeya iti / / ya -3 ya+2 sa bhitra pada kA mAna kyA hai? jaba ya%2 u For Private and Personal Use Only

Page #197
180 bhitrasambandhi prakIrNaka / ma udA0 (2) 2 ya - 7 ya yahAM ya -3ya+2 (ya-1) (ya-2)_ya-1, ya+ya,-6 (ya+3) (ya--2) ya+3 :-" yaha uddiSTa bhinna pada kA mAna hai| 2 yaH -- 7 ya -3 ya+18 dasa kA mAna alaga 2 ko 3 ya3 - 13 ya+8ya+12 jaba ya =2 aura 3 / pA 2 yara -7 ya-3 ya+18 =2 ya+3 3 ya3 - 13 yara +8ya+12 3ya+2 . :- jaba ya = 2 aura :-16 jaba ya = 3 / 00 OM udA0 (3) ksa kA mAna kyA hai ? jaba ya= a| yahAM a-ya -+-ya + A-3ya + ityAdi + ayasa-+ ya isa meM mo a aura ya ke ghAtoM ke ghAtamApaka krama se uttarottara ghaTate aura baDhate haiM isa se spaSTa jAna par3atA hai ki isa meM padoM kI saMkhyA ma itanI hai| aba jo ya = a ho to : = ama +# +a + ityA0 ma pada = ma. ag| ma-1 (ya-ra)2 . udA0 (8) P . isa kA mAna kyA hai? jaba ya =ra / MR + yahAM 0/0 ya+ra udA0 (5) 65+5 ya-6 eya- 12ya+4 isa kA mAna kyA hai? jaba ya = 3 / 6ya +5 ya-6 2ya+3 sya-12 ya+8 3ya ... = 0 / yahAM For Private and Personal Use Only

Page #198
Shri Mahavir Jain Aradhana Kendra udA0 (6) yahAM jaisa vd emmmn m daedaedaedae + / / mijigaeggaeg 1-1-1 ya+1 ya +1+1 +1+ T 34 100 99, 1000 327 100 freembandhi prakIrNaka | +1 / jaba ki WWWW 1 ------ "" www.kobatirth.org ya my momy 75 / jisa bhitra saMkhyA kA cheda dasa kA koi pUrA ghAta ho usa fra saMkhyA ko dazamalava kahate haiM aura isa meM cheda kI saMkhyA nahIM likhate kiMtu usa ko dikhalAne ke liye kevala cheda ke ghAtamApaka kI jitanI saMkhyA hogI utane aMza meM eka sthAna se sthAna gina ke vahAM para aisA bindu karate haiM isa bindu ko dazamalava bindu kahate haiM / isa ko 3 yoM likhate haiM / isa kA mAna kyA hai ? jaba ya - 3 / dazamalava | .34 ya - 7ya +9 6ya- 13 GOO 3.20 2000 10 100 1000 Acharya Shri Kailassagarsuri Gyanmandir F =17 3 ta 20x10 ta+1 10 0 = 2.70 = 2.700 = = 500000.. For Private and Personal Use Only 181 ta zUnya / isa se yaha spaSTa hai ki dazamalava ke Upara cAho utane to bhI usa kA mola bigar3atA nahIM / 'zUnya deo

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Shri Mahavir Jain Aradhana Kendra 182 hai 77 / jaba ki 58640 50000 S 9000 600 40 + + + + 1000 1000 1000 1000 1000 1000 E = 50 + C+ + 10 to 59.640 = 50 + C+ www.kobatirth.org bhisambandhi prakIrNaka / to da = ta 10 + 100 1000 6 8 + + 10 102 isa se yaha spaSTa prakAzita hotA hai ki dazamalava meM dazamalava bindu kI bAMI ora abhinna saMkhyA aura dahinI ora bhitra saMkhyA rahatI hai aura bhI isa meM abhinna saMkhyA meM jaise bAMI ora se dAhinI ora uttarottara aGkoM ke guNaka dazamAMza dazamAMza hote haiM vaise hi Age bhina saMkhyA meM bhI hote haiM arthAt dazamalava meM aGkoM kI sthiti vaisI hi rahatI hai jaisI abhinna saMkhyA meM hai / isI liye dazamalavoM kA saMkalana aura vyavakalana usI bhAMti banAte haiM jaisA abhinna saMkhyAoM kA ekAdi sthAnoM ke aGkoM ke nIce ekAdi sthAnoM ke aGka likha ke banAte haiM / jaisA 9004.503 2913.84 12618:343 aura da yojya | yojaka / yoga / " 78 | dazamalaboM ke guNana Adi parikramoM kI upapatti / mAno ki da aura daM ye do dazamalava haiM aura ina meM krama se ta aura taM ye dazamalava sthAna haiM aura ina ke dazamalava bindu ko miTA dene se jo abhitra rAzi baneMge ve krama se dA aura dAM haiM / dA do S 103 10 (1) dazamalavoM kA guNanaphala = darda 804.19 viyojya | 62. 3258 viyojaka | 741.8642 cAntara / Acharya Shri Kailassagarsuri Gyanmandir #1 dA For Private and Personal Use Only X dAda ta+taM 10

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bhisambandhi prakIrNaka / 183 isa liye dazamalaboM kA guNana abhiva saMkhyAoM ke guNana ke nAMI banAte haiM aura guNyaguNakoM meM jitane dazamalava hoMge una ke yoga ke samAna guNanaphala meM dazamalavasthAna karate haiM / jaisA (a) yadi taM > ta, to 208344 347.24 guNya 9.036 guNaka 104102 312516 3130.66064 guNanaphala / - (2) dazamalavoM kA bhajanaphala isa meM jaisA taM yaha ta se bar3A vA isa ke samAna vA isa se choTA hogA vaisA isa bhajanaphala kA rUpa alaga 2 hogA / da da taMta x10 daM dAM isa liye dazamalavoM ke bhajanaphala ke liye una kA abhiva saMkhyAoM ke nAMI bhajana karane se jo labdhi abhica hogI to usa para bhAjya ke dazamalava sthAnoM se bhAjaka ke dazamalava sthAna jitane adhika hoMge utane zUnya dete haiM / jaisA 20988 18740 dA dAM 22488 22488 ta Acharya Shri Kailassagarsuri Gyanmandir 10 bhAjaka bhAjya 3.048) 95948.8 (25600 496 = bhajanaphala For Private and Personal Use Only 10 1

Page #201
184 bhivasambandhi prakIrNaka / da dA (a.) yadi taM = ta, to, isa liye jina ke dazamalavasthAna paraspara samAna hoMge una kA abhinna saMkhyAoM ke nAI bhajana karane se jo bhajanaphala parA AvegA to usa meM dazamalavasthAna nahIM karate / jaisA bhAjaka bhAjya bhajanaphala 14.76) 34641.72 (2347 2953 5121 4468 6937 5904 10332 10332 (a.) yadi taM Page #202
bhinnasambandhi prakIrNaka / 15 (a.) yadi dA yaha dAM se niHzeSa na hove arthAta dazamaloM kA abhinna saMkhyAoM ke nAI bhajana karane se yadi bhAjaka se bhAjya niHzeSa na hove to bhAjya para taba taka eka ra zUnya de ke usa meM bhAjaka kA bhAga dete haiM jaba taka bhAtya niHzeSa hove vA jaba taka prayojana hove phira bhAjaka aura zUnyoM se bar3hA huA bhAjya ina para se bhajanaphala meM dazamalavasthAna karate haiN| ------- = 18.75 / 3.27 3.270000 6.25 6.25 1.7 1.5 1.70000..... 12 .3 =5.6666 ...... / .862000000.... -- =.78363636...... / 1.1 jisa dazamalava meM eka hi eka saMkhyA usa ke uparAnta phira 2 vahI pAtI hai aura kahIM rukatI nahIM usa dazamalavako Avarta dazamalava kahate haiM aura isa se dUsare bhAMti kA jo dazamalava hai usa ko paricchinna dazamalava vA anAvarta kahate haiN| jaisA Upara ke tIsare aura cauthe udAharaNa meM bhajanaphala Avarta dazamalava hai| (3) jaba ki da = DA so Dhau = dAna hai = DA ityAdi / isa liye dazamalava kA vargAdi ghAta abhiva saMkhyA ke vargAdi ghAtoM ke nAI banA ke usa meM utane dazamalavasyAna karate haiM jitanI mUla ke dazamalavasthAna aura ghAtamApaka ina ke guNanaphala kI saMkhyA hove / isI kI ulaTI dazamalaba ke dhAdimala nikAlane kI yukti hai / For Private and Personal Use Only

Page #203
186 ____ bhivasambandhi prakIrNaka / 76 / bhitra saMkhyA ko dazamalava kA rUpa dene se vaha dazamalava kahAM paricchitra aura kahAM Avarta hogA isa kA bicAra / mAno ki yaha uddiSTa bhitra saMkhyA kA laghutamarUpa hai / aba dUsa ke samAna aisI eka bhitra saMkhyA khojanI cAhiye ki jisa kA cheda dasa kA koi pUrA ghAta hove / so aisA 1 = aX10= tA yaha abhISTa dazamalava hai jisa meM dazamalava sthAna ta haiM aura tA yaha abhitra saMkhyA hai| aba tA = 10isa meM aX 10 yaha ka se apavartya hai aura a yaha ka se dRDha hai / isa liye (44) ve prakrama se ka se 10 yaha a. vazya niHzeSa hogaa| paraMtu 10 yaha to rake vA 5 ke ghAta se vA 2 aura 5ke ghAtoM ke guNanaphala se hI niHzeSa hogA aura kisI se nahIM hogA yaha spaSTa hai isa liye jo ke yaha 35 isa rUpa kA ho arthAta __ yoM kisI bhitra saMkhyA kA laghutamarUpa ho to usa kA dazamalava sAnta arthAta paricchina hogA aura isa se dUsare bhAMti kI bhitra saMkhyA kA dazamalavarUpa Avarta hogaa| kyoMki jaba isa meM ka se a410 yaha kabhI niHzeSa nahIM ho sakatA to aise bhajana meM jaba se bhAjya para kA eka eka zanya hara eka zeSa para liyA jAvegA taba se virUpa antya bhAjyoM kI saMkhyA ka-1 se adhika nahIM ho sakatI yaha spaSTa hai| isa liye phira bhAga lete 2 vahI antya bhAjya banegA jo eka bera pahile banA hai aura bhajanaphala meM phira vehI aGka AveMge jo pahile Ae haiM aura aise hI phira 2 Ate jAyeMge / 8. / Avarta dazamalava kA bhitrArUpa jAnane kA prakAra / yaha spaSTa hai ki kisI pAvarta dazamalava kA rUpa yaha hai / For Private and Personal Use Only

Page #204
Shri Mahavir Jain Aradhana Kendra dA + da .. 10 X dA ..ET = ka ta+da 10 da (10 .. dA = Ta _ 10x ta verdag + bhisambandhi prakIrNakra isa meM jo saMkhyA Avarta dazamalava ke Adi meM rahatI hai aura phira nahIM AtI usa kA yotaka hai jo saMkhyA vahI phira 2 AtI hai usa kA taka ka hai / aura saMkhyA ke ekasthAna kA aGka pahile se jisa dazamalava sthAna meM hogA usa saMkhyA kA dyotaka ta hai aura ka saMkhyA meM jitane sthAna hoMge una kI saMkhyA kA dyotaka da hai / aba isa Avarta dazamalava ke samAna jo dA yaha bhitra saMkhyA mAno to 10 P ka ta+da ta ka ta da qo (q -- 1) ta 1) a + ka www.kobatirth.org + da (1 - 1) a + ka + + 10 ka ta+da 10 10 ka ta+3da ka ta+da samoM meM sama ghaTA dene se, (13 - 1) dA = + + ka ta+2da ka ta+da 10 Acharya Shri Kailassagarsuri Gyanmandir + (10 - 1) 40 + 5 10 x 10 - 1) + udA0 (1) * 5555 ityA0 isa kA bhivarUpa kyA hai ? yahAM a = 0 = 5, ta = 0, aura da = 1 Avarta dazamalava kA bhitra rUpa jAnane ke ta da 10(10 1) liye yaha eka pakSa hai isa meM a, ka, ta, aura da ina kA utthApana karane se bhitra rUpa turanta spaSTa hogA / For Private and Personal Use Only ka ta+3da ka ta+3da 10 (13 - 1) a + ka 5 1 180 1 udA0 (2) *0202020 ityA0 isa kA bhitrarUpa kyA e yahAM = 0, ka = 22, ta = 1 aura da = 2 + ityAdi + ityAdi

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Shri Mahavir Jain Aradhana Kendra == ... dA dA = .. dA (10 - 1) a + ka q (98-9) 10 20 3 960 110 . dA da (10 rng 1 udA0 (3) 20330769230769 ityA0 isa kA bhitrarUpa kyA hai ? aura da = 6, yahAM ta da (10 - 1) 2230760 EEEEEE 13 freembandhi prakIrNaka / 2, ka = 230769, ta = 0 da (10- 1) + ka 1) a + ka (10 - 1 ) x 2 + 230769 10 (10 - 1 ) www.kobatirth.org udA0 (4) * 09313131 ityA0 isa kA bhinnarUpa kyA hai ? yahAM a ha = 72 1963 9900 2405 2 (10 - 1) x 0 + 37 10 (10 - 1) ka 31, ta = 2, aura da = 2, == 1 ta da 10 (10 - 1) 1321425 98900 da (10- 1) + ka Acharya Shri Kailassagarsuri Gyanmandir 5803 444 0 10 (10 - 1) udA0 (5) 13.22747740040 ityA0 isa kA bhitrarUpa kyA hai ? yahAM 1322, ka = 747, ta = 2 aura da = 3, (103 - 1 ) x 1322 + 040 3 qo (202 -- 1) 20 104 hala (10 - 1 ) X 09 + 31 10 (10- 1) For Private and Personal Use Only

Page #206
189 adhyAya 5 / isa meM samIkaraNa kA vyutpAdana, ekavarNa ekaghAtasamIkaraNa, a. nekavarNa ekaghAtasamIkaraNa aura ekaghAtasamIkaraNasaMbandhi prazna itane prakaraNa haiN| 1 samIkaraNa kA vyutpAdana / 81 / jo do pakSoM kA sAmya dikhalAtA hai usa ko samIkaraNa kahate haiM usa meM una donoM pakSoM ko = isa cihna kI donoM aura likhate haiM / yaha samIkaraNa do prakAra kA / eka prAkRta samIkaraNa aura eka kalpita samIkaraNa / (1) jisa samIkaraNa ke donoM pakSa ekarUpa hote haiM vA jisa ke dono pakSoM ko savarNita karane se ve ekarUpa ho jAte haiM usa ko prA. kRta samIkaraNa kahate haiN| jaisaa| a+ya= a+ya, athavA a-ya -y| (2) virUpa samIkaraNa usa ko kahate haiM jisa ke donoM pakSa bhivarUpa haiM aura sarNita karane se bhI ekarUpa nahIM hote kevala una ke mAna paraspara samAna kalpanA kiye haiM usa ko kalpita samIkaraNa kahate haiN| jaisA / ya+aka isa kA artha yaha hai ki ya eka aisI niyata saMkhyA hai ki nima meM ako nor3a dene se yoga ka ke samAna hotA hai| (3) prApta samIkaraNa ke dono pakSoM kA sAmya svAbhAvika rahasA hai isa liye usa ke pada vA padoM ke mAna yatheSTakalpya arthAt jo cAho so ho sakate haiN| aura kaspita samIkaraNa ke do pakSoM kA sAmya For Private and Personal Use Only

Page #207
590 samIkaraNa kA vyutpAdana / kalpita hotA hai isa liye usa ke pada vA padoM ke mAna usa kalpita sAmya ke anusAra niyata rahate haiN| (4) kalpita samIkaraNa meM adhyaktapada vyaktapadoM se saMbaddha rahatA hai vahAM jisa kriyA se usa samIkaraNa ke patoM kA sAmya na bigar3e aura eka pakSa meM kevala adhyaktapada ko aura dUsare pakSa meM saba vyaktapadoM ko kara dete haiM usa kriyA ko samakriyA kahate haiN| (5) kalpita samIkaraNa meM avyakta kA mAna vaha hai jisa se usa samIkaraNa meM utthApana karane se vaha samIkaraNa prAkRta ho jAve arthAta usa ke donoM pakSa ekarUpa ho jAveM / jaisA / ya + a =ka, isa meM ya avyakta hai aura a aura ka ye vyakta pada haiN| aura yahAM ya kA mAna ka- a hai kyoMki utthApana se arthAta uddiSTa samIkaraNa meM ya ke sthAna meM ka-ako rakhane se ka-a+a = ka, vA, ka-ka yaha prAkRta samIkaraNa hotA hai| 82 / isa prakrama meM samIkaraNa ke bheda kahate haiN| (1) jisa samIkaraNa meM ekahI avyakta hai usa ko ekavarNa samIkaraNa kahate haiN| (2) jisa meM aneka avyakta haiM usa ko anekavarNa samIkaraNa kahate (3) chedagama aura yathAsaMbhava apavartana ityAdi karane se samIkaraNa meM avyakta kA jo ghAta saba se bar3A rahatA hai usa ghAta ke nAma kA vaha samIkaraNa kahalAtA haiM / jaisA jo samIkaraNa meM avyakta kA eka ghAta rahe to usa ko ekaghAtasamIkaraNa kahate haiN| jaisA ya = a| aura jo samIkaraNa meM avyakta kA saba se bar3A ghAta varga hI ho to usa ko vargasamIkaraNa kahate haiN| yaha do prakAra kA eka kevala dhargasamIkaraNa aura dUsarA madhyamAharaNa / jisa meM avyakta kA varga mAtra rahatA hai usa For Private and Personal Use Only

Page #208
ekavarNa ekaghAtasamIkaraNa / 165 ko kevala vargasamIkaraNa kahate haiM aura jisa meM avyakta kA varga aura usa kA eka ghAta bhI rahatA hai usa ko madhyamAharaNa kahate haiN| jaise| aya + ka = 0, yaha kevala vargasamIkaraNa hai| aura aya + kaya = ga, yaha madhyamAharaNa / isI bhAMti ghanasamIkaraNa, caturyAtasamIkaraNa, ityAdi jAno aura bhI sAdhAraNa rIti se| ya+laya + tharya + . . . . + phaya + baya +bha = . isa meM avyakta kA saba se bar3A ghAta ma yaha hai isa liye isa ko maghAtasamIkaraNa karate haiN| 2 ekravarNa ekaghAtasamIkaraNa / 83 / jisa uddiSTa samIkaraNa meM adhyakta kisI saccheda pada meM nahIM par3A hai usa kI skriyaa| rIti / uddiSTa samIkaraNa meM jitane avyakta ke pada hoMge una sabhoM ko pakSAntara nayana se = isa cihna kI bAMI ora ke pakSa meM kara deo aura jitane vyakta pada hoMge una ko dahanI ora kI pakSa meM kara deo / phira usa avyakta ke padoM kA aura una vyakta padoM kA alaga 2 yoga kro| yoM karane se bAMI ora ke pakSa meM avyakta kA no vAradyotaka ho usa kA dahanI ora ke pakSa meM bhAga dene se usa avyakta kA mAna labdha hotA hai| bhAskarAcArya jI ne bhI kahA hai ki ekAvyaktaM zodhayedanyapatA pANyanyasyetarasmAcca pakSAt / zeSAvyaktanoDareTrapazeSaM vyaktaM mAna jAyate'vyaktarAzeH // For Private and Personal Use Only

Page #209
192 ekavarNa ekaghAtasamIkaraNa / isa meM rUpa kahiye vyakta pada / isa meM masIkaraNa ke kisI pakSa meM yadi eka vA aneka koSTha hoM to una ko pahile (24) ve prakrama se uDA ke phira Upara kA vidhi kro| aura samakriyA ke samaya meM jaba dono pakSoM meM kisI kA apavarta lagatA ho taba lagA ke phira kriyA ko bar3hAo aura (37) ve prakrama kA pahilA aura dUsarA anumAna jahAM para lage tahAM usa ko lgaao| __ yahAM avyakta ko = isa cihna kI bAMI ora karate haiM aura vyakta padoM ko dahanI ora karate haiM isa liye bAMI ora ke pakSa ko avyakta pakSa aura dahanI ora ke patta ko vyakta pata kahate haiN| udA0 (1) 7 ya+3 = 2 ya + 23, isa meM ya kA mAna kyA hai ? pakSAntaranayana se, 7ya-2 ya = 23 -3 yoga karane se, 5ya =20 bhAga dene se, ya=20 = 4, yaha mAna hai| isa mAna ko uddiSTa samIkaraNa meM ya ke sthAna meM rakhane se 744+3=244+23, vA, 2+3=c+23, vA, 31 = 31 yaha sarUpa samIkaraNa huA isa liye yahAM jo ya kA mAna 4 pAyA hai yaha ThIka hai / isa avyakta mAna kI satyatA dikhalAne hAre prakAra ko pratIti kahate haiN| udA0 (2) 12 ya-21 = 3 ya + 33, isa meM ya kA mAna kyA hai ? yahAM 3 kA apavarta karane se, . 4ya-7 = ya + 11 patAntaranayana se, 4ya-ya= 11+9 yoga karane se, 3 ya = 18 bhAga dene se, udA0 (3) 4 ya -2 =7 ya -11, isa meM ya kA mAna kyA hai ? pakSAntaranayana se, 4ya- ya-11+2 For Private and Personal Use Only

Page #210
Shri Mahavir Jain Aradhana Kendra udA0 (4) 11 ya koSTha ko ur3A dene se, eka ekaghAtasamIkaraNa / (37) ve prakrama ke (1) anumAna se, 3ya ha ya = .. athavA pahile hi bhAga dene se, 3 ya = == / www.kobatirth.org - athavA ya = udA0 (9) kaya = 108 108 12 pakSAntaranayana se, bhAga dene se, - udA0 (5) 5 (6- 3 ) - 51 = 59 - 2 ( 10- 2), isa meM ya kA mAna kyA hai ? (13) -gha) = 65, dasa meM ya kA mAna kyA hai ? 11 ya- 13 + ya = 65 12ya = 65 + 13 ya = Acharya Shri Kailassagarsuri Gyanmandir = I / yahAM koSTha ke Adi meM jo pada hai usa se bhItara ke padoM ko guNa dene se, (58 - 15) - 51 = 50- (34 - 4 yaM) - koSTha ko ur3A dene se, 58 - 15 - 51 = 50 - 34 + 4 ghaM pakSAntaranayana se, 5 ya- 4 ya = 58 - 34+15+51 ya : 125 - 34 = 1 / u0 (6) 08 - 11 (26 + 7 ) == 96 - 5 (38 - 17), isa meM ya kA mAna kyA hai? yahAM 08 - (22 + 77) = c yaM - (15 yaM 85) .. 18 - 22ya - 07 = ratha - 15 ya + 85 pakSAntaranayana se, 0ya - 22ya - ya - dh + 15ya = 85 + 07 162 - 98 = 162 aura laya = 162 : ya = 163 -< =- 18 / = ga - ghaya, isa meM ya kA mAna kyA hai ? kaya + dhaya =a+ga .. ( ka + gha) ya = a + ga, aura ya = 14 Qun ka +gha 103 1 For Private and Personal Use Only -- 18 /

Page #211
Shri Mahavir Jain Aradhana Kendra athavA, athavA, 11 ekavarNa ekaghAta samIkaraNa | isa kI pratIti ke liye ya ke sthAna meM a + ko rakhane se / ka + gha ka ka + kaga ka + gha kaga - agha ka +gha. Guo ka + gha/ Aya kA apavarta pacAntaranayana se, ya + gaya .. ya = : ya = www.kobatirth.org udA0 (6) ya + akatha = dene se, ya + ka 1 w -gra=ga kaga - agha ka + gha = a - ka 1+ga aga - gha 1 na - Acharya Shri Kailassagarsuri Gyanmandir agha + gagha ka +gha prAkRta samI0 gaya 1 - agara isa meM ya kA mAna kyA hai ? , a + ga ka + gha/ yahAM aka + ya - kaga + kaya = gadha + gaya gaya gagha ka + kaga Aya + kaya athavA, (a + ka - ga ) ya = gadha - ka + kaga / gadya - ka + kaga a + ka - ga abhyAsa ke liye aura udAharaNa / H - ka; vA, (1+ga) ya = - ka / udA0 (9) a (ka + ya) - ka (ga - ya) = ga (gha + ya), isa meM ya kA mAna kyA hai ? (5) 7 38 = 3ya - 5, isa meM (6) 29- 4ya +6= 5 + 10, isa meM (7) 0 ya2 - 58 = 23 ya, isa meM 1 (1) 38 - 17 = 28 + 5, isa meM (2) 58 + 13 = 20 - 2ya, isa meM (3) ya - 28 + 3ya - 4ya +5 = 7, isa meM (4) ya + 9 = 3ya + 1, isa meM For Private and Personal Use Only huvA I ya = 22 / ya = 2 / ya = 21| ya = 4 / ya = 2 / 3 / ya - 4 / 7 =

Page #212
ya3 / ekavarNa ekaghAtasamIkaraNa / 15 (8) 3ya + 7 = 12+3(5-ya), isa meM (C) 5(2ya -3) + 15 = 7ya + 2 (4 ya -3), isa meM y=13| (10) ya-3 (5-4 ya) = 7 (3 ya-8)+, isa meM (11) 3 (ya-9)+2 (3ya-5) = 17- (5ya -8), isa meM ya / (12) 8ya + 7 (3 ya-B) = 26 - 3 (2ya - 17), isa meM ya3, (13) ya+2 (ya-4)- 0 (ya+5) = 6ya-7, isa meM -3(2 -57) dasa meM (14) 3 (2 ya+9)+5(3 ya-4)= 185-8(5 ya+23), ya / (15) 35 (13 -6ya)-28 (-5 ya) = 189 - 14 (7 ya-3). basa meM y=1| (16) (ya+ 7) (ya-3) +7 = (25-7) (ya+5)- 16, isa meM (17) 332 - (ya-5) (2 ya-3) = (ya+2) (ya-1)+ 71, isa meM ya / (18) 4 ya2-17 ya+ 7 = 11+ ya- ya-4. isa meM ya=7 / (19) (ya + 1) (ya -2) (ya + 3) = (ya- 1) (ya+5), dasa meM (20) 8(ya+5) (ya + 13)- 11 (ya+2)(ya+ 13) =24 ya -3 (ya+2) (ya+5), isa meM (21) (ya-3) (ya-5)- 4 (ya- 4) (ya-5) = (ya- 1) (ya-6) - 4 (ya-3) (ya-4), isa meM (22) (ya- 1)(5 ya-4)- (ya-2)(2 ya+3)-(ya-3)(3 +1). -2ya-1, esa meM For Private and Personal Use Only

Page #213
Shri Mahavir Jain Aradhana Kendra 196 eka ekaghAta samIkaraNa / (23) (22 + 4)2 - (62 - 1) 1 = 462 - ya + 10, isa meM ya = 1 (24) 4 (ya - 3ya - 10) 1 - 38 = (282 - 6 - 49 (28 - 3) 2 - 10, isa meM + 29) 2 (27) ya * ka = gaya - gha caya, isa meM - (28) tha + kara = www.kobatirth.org (25) (ya + 1) 2 (ya + 3) 2+4 (ya + 2) 2 = ( + 4 ya + 5) 2 + 5 (ya- 2), isa meM ya (26) ya + 3 = ya + 5, isa meM 2 - katha, isa meM (C) a* katha + ga (30) (a + ka) ya - (ka) ya isa meM gha - caya, isa meM (38) cAya (tha - ) (31) 3ya - 4 (32) agha - 2 (33) atha + ka (tha - ga ) - gha - ca (ya - cha), - ka) ya = ( (34) a + ka (2 isa meM (37) (ya + a) (ya - ka) isa meM - ka1, - Acharya Shri Kailassagarsuri Gyanmandir (ga- 2ya), isa meM ya , isa meM ya (I -- H) (T2 -- II), isa meM ya = kaya + 2 = akatha 4 'ya', isa meM ya - = . (ya-ga) (ya -gha) ya = (36) (ya + 3 ka1) - ka (ya + 32) (ka), isa meM gha = For Private and Personal Use Only + ka) ya - kare, ya ya = - (34) (+ya) ka (28 + ga ) = - ka (3 ya + gha), isa meM = kaya (ya ka) + ka ( - ka) ya = 56 / ga+ca ya = - ka / ka - gha a + ga - gha ka - ca 2 / ya= / ya = Yi ka - a 2 kaga+cha+ca a + ka +ca 2 ka a ( ga + 4) - ka +3 kara ya = I ya = a + ka / 1 ka (ga -gha) a + ka 1 / akra + zrA a + ka + a + kare / 1. ka + gaya ka ++cha / 1

Page #214
pra - ka + ga ekavarNa ekaghAtasamIkarayA / (39) a (aya-2ka)- ya (ka-gara) = ara+ka-ga (2 aya+ga), isa meM +ka -ga (40) (+ya) (a+2ya) + (+2 ya) (a+3ya) -(pra-ya) (a-2 ya) =2(a+ya) ( +3ya), . isa meM 84 / jisa uddiSTa samIkaraNa meM avyakta eka dhA aneka saccheda padoM meM par3A hai usakI sakriyA / rIti / uddiSTa samIkaraNa meM (EE) ve prakrama se chedagama karake saba chedoM ko ur3A deo| phira usa kI samakriyA Upara ke prakrama se turaMta hogii| __ jAnA cAhiye ki isa meM jo saccheda pada ke aMza meM vA cheda meM saccheda pada Ave to uda saccheda padake aMza aura chetra ina donoM ko aise eka hi pada se guNa deo ki jisase usa pada ke aMza meM vA cheda meM keva na rahe phira pati rIti se samakriyA kro| udA0 (1) 1-= 5-yU, isa meM ya kA mAna kyA hai| yahAM chedagama karane se arthAt, 12 dasa vedoM ke laghutamApavartya se hara eka pada ko guNa dene se, 6ya-4 ya%D60-3ya :. 2ya+3 ya = 60; ghA, 5 ya = 60 / / aura ya= = 12 / udA0 (2) ya 11 + 2ya- = 4.ya, isa meM ya kitanA hai? yahAM chedagama karane se arthAta samIkaraNa ko 6 (ya + 1) + * (2 ya - 7) = (4 ya+9) . isa bhAMti likha ke dono pakSoM ko 30 isa chedoM ke laghutamApavartya se guNa dene se, 5(3+ 1) + 3 (2 ya.- 7) = va mA For Private and Personal Use Only

Page #215
198 ekavarNa ekaghAtasamIkaraNa / 55+5+6ya-21 =8ya+14 5ya +6ya-8ya - 14 -5+21 vA, 3ya = 30 ; :: ya = 30 = 10 / / isI bhAMti jisa samIkaraNa meM saccheda pada kA aMza saMyuktapada hogA usa kI samakriyA kro| ... udA0 (3) 5ya + ya+ 3 2 - 253 - ya hai / isa meM ya kA mAna kyA hai? yahAM samIkaraNa ko 5ya+ 3 (ya+3) -1 (2ya - 7) = 1-2 (ya + 11) isa rUpa meM likha ke 6 se guNa dene se, 30 ya+3 (ya+3)-2(2ya-7) = 154 - (ya+ 11) vA, 30 ya+3 + -4 ya+14 - 154 -ya-11 : 30 ya+3 ya - 4 ya + ya = 154 - 11 ---14 30 ya = 120 ... ya-120 =4 / udA0 (4) "ya -22-+ 1932-3 = 331 - ya+201 isa meM ya kA mAna kyA hai? yahAM samIkaraNa ko 13 (5ya - 7)-(25-5) + 11 (11 ya - 3) ==% -18 (ya + 201) isa rUpa meM likha ke donoM pakSoM ko 84 se guNa dene se, 35 ya-9-8 ya+20 + 28 (11 ya-3) = 2800 -35-603 pakSAntaranayana se, 32 (11-3) = 226-30 ya For Private and Personal Use Only

Page #216
al, ... ekavarNa ekaghAtasamIkaraNa / 4 (11 ya - 3) = 742 - 10 ya chedagama se, 44 ya- 12 = 12614 - 170 ya :: 214 ya = 12626; aura ya = 12626 =59 / isa bhAMti ke samIkaraNa meM arthAt jisa meM sakala chedoM kA laghutamApavartya bahuta bar3A ho usa meM pahile jitane bahuta chedoM kA laghutamApavartya choTA ho una ko ur3A ke pakSAntaranayana se saba abhinna padoM ko eka pata meM kara deo aura phira chedagama kara ke pUrvavat kriyA kro| isa se samakriyA meM lAghava hogaa| 2 ya+ 3ya-13 _ 5 ya+: .. udA0 (5) 11 , isa meM ya kyA hai? yahAM uktarIti se aMzoM ke chedoM ko ur3A dene se, 60 se guNa dene se, 20 ya +3 - 2(45 yu-13) = 20 ya+1 patAntaranayana se, 2 = 2 (45 2-13), vA, 45 ya - 13 = 1 chedagama se, 45 ya - 13 = 5; ::45 ya = 18; aura ya = = 3 / athavA jisa samIkaraNa ke chedoM meM cheda nahIM haiM kevala aMzoM meM haiM vahAM pahile sAdhAraNa rIti se chedagama kara ke pUrvavat kriyA karate haiN| jaisA isa samIkaraNa meM chedagama se arthAta chedoM ke laghutamApavartya 30 se donoM pakSoM ko guNa dene se, 10 ya + 3 - 6ya + 13 -- 10 ya+ / ' pakSAntaranayana se, - 6-3-3-3 =-1-13 ghA, ya = 1 53 = 16 . ya = = 3 / For Private and Personal Use Only

Page #217
ekavarNa ekaghAtasamIkaraNa / ya+6 ya- IPL 3 - - 4 6 udA0 (6) 2 ya -1 ya-- - = ---- -- isa meM ya kyA hai? 12 se guNa dene se, 85-2-3tha + ya -- 7 = 10+ 5 3ya _ya+6 6ya-18 = 2 se guNa dene se, 12ya - 38 =3ya - ya+6 5 se guNa dene se, 60 ya - 190 = 15 ya-ya-6 pattAntaranayana se, 60 ya-15 ya + ya = 160 -6 vA, 46 ya = 184; :: ya = 1 = 4 / 3ya-1 21+1 udA0 (7) - 3 = 323, isa meM ya kyA hai? yahAM ukta rIti se aMza ke aura cheda ke chedoM ko ur3A dene se, . 183-3 12 ya +3 = 43 / 12 me guNa dene se, 54 ya - 6-48 ya-8 = 43 pajJAntaranayana se, 6ya= 60 ; :: ya = = 10 / udA0 (8) 3+33- hai, isa meM ya kA mAna kyA hai? yahAM hara eka pada ko 12 ya se guNa dene se, 6+:- 9= 30 ya, vA, 5 = 30 . ya = 5.13 = 13 = 23 / udA0 (9) 5ya 117 3ya - 13 = ? ya+1 + 113-14, isa meM ya kA mAna kyA hai? yahAM dono pakSoM ko 24 se guNa dene se, - For Private and Personal Use Only

Page #218
201 ekavarNa ekaghAtamamIkaraNa / 20 ya +68 - 9ya + 39 = 3ya + 11 ya - 14 pakSAntaranayana se, 121 = 32 25 chedagama se, 121 ya - 2662 = 32 ya +6 pakSAntaranayana se, 121 ya - 32 ya = 2662 + 8 vA, 89 ya = 2670 ; aura ya = 2 =30 / isa jAti ke samIkaraNa meM arthAt jisa meM koi eka cheda saMyukta pada ho usa meM pahile aura chetroM ko ur3A deo phira patAntaranayana se saba abhinna padoM ko eka pakSa meM karake chedagama kro| udA0 (10) 3(3+2ya), 24ya ... , -4ya +1+3ya 5+ ya, isa meM ya kA mAna kyA hai? taba chedagama se, 3 (3+2 ya) (1+ 3 ya) + (2+ ya) (3 - 4 ya) = (-4 ya) (1+3 ya) (5+ y)| vA, +33 ya / 18 ya+6-53-4 ya = 15+20ya -55 yara - 12 13 . pakSAntaranayana se, 12 ya = -69 yara .:. 4 ya = -23; aura ya =-23 =-13, athavA isa prakAra ke samIkaraNa meM arthAt jisa meM aneka cheda aise hoveM ki jina meM koI do cheda paraspara adRDha na hoM usa meM chedagama ke liye abhiva padoM ko eka pata meM kara ke eka eka cheda se dono pakSoM ko guNate jaao| jaisA - isa samIkaraNa meM pahile 3-4 ya se guNa dene se, 6-5 ya -4 ya = 15-17ya-4yara +3ya patAntaranayana saM, pamA 6-5ya-4 yara 1 =6-23 ya-4yara + E For Private and Personal Use Only

Page #219
Shri Mahavir Jain Aradhana Kendra 202 ekavarNa ekaghAta samIkaraNa | phira 1+3ya, se guNa dene se, 6- 58 - 402 = 6 - 58 - 7382 - 1283 pakSAntaranayana se, 1283 = - 69 pa ; : ya = - Y 4ya+1 udA0 (11) yahAM 5 ya = - 2 se guNa dene se, 4tha + 1 - athavA, 2882 - 13 ya + 8 = .. ya = graka, se udA0 (12) 35 ya2 - 4 ya - 4 15 ya + 1 phira 2 (6 - 1) arthArtha 128 - 2 isa se guNa dene se, 48 + 4ya - 2 - 20 82 - 10 ya + 10 420 ya3 - 11882 - 408+6 158+1 147 49 udA0 (13) chedagama se, yara = patAntaranayana se, ka www.kobatirth.org 4 ya +5 * 3 (6ya - 1) phira 158 + 1 se guNa dene se, 42083 - 160 ya + 100ya +8 = 420 ya - 11882 - 40 ya + pakSAntaranayana se, - 49 ya 147 ya; vA 49 ya = 147 ; ya aya kaya ka a guNa dene se, kaya = a + ka 1 : ya = -- ya 3 / +ka - kara uu. ya = - Qi + ka ka 420 ya - 118 ya - 40 ya +6 15ya+1 1 - ya ya ka (a + ka) ya = aka praka + ka ka 1 Acharya Shri Kailassagarsuri Gyanmandir 7+2 158 + " 20 ya + 178 - 10 26ya - 5) isa (a + ka) ya + ya I ti isa meM kyA hai ? isa meM ya kyA hai ? For Private and Personal Use Only 'ya kyA hai?

Page #220
ekavarNa ekaghAtasamIkaraNa / ya-ara ka -=-isa meM ya kyA hai? udA0 (14) kara- a kedagama se, aya- are = kare -- kaya pakSAntaranayana se, (+ka) ya = a + kara a+kare ... ya= ka = a -ak+ke| ya= 84 / 2 . 3ya abhyAsa ke liye aura udAharaNa / (1) ya+ 2 = 2 + 9, isa meM (2) - + ya = 19, isa meM (3) ya- 2 + - 3 + ya = ya+5, isa meM ya = 15 / (4) 5ya + ya + 11 ya 113, isa meM y=60| (5) 2+1 3 ya-9 + yu +5 = 5, isa meM (6) 75-1.5ya.-1 = 18ya - 19, isa meM ya=3 / (7) ya-1+ 25-6 - 1 - ya3, isa meN| (e) 2ya +3+ ya = ya + ya - 36, isa meM ya= / (c) 3ya + 1285ya = 2ya+ya, isa meM ya=1 / (10) 7 - ya = 1+ya, isa meM (11) 7ya 65 4 ya-1-7-323, isa meM ya = 13 / (12) 2ya1 + 3 3 4 .631 = 1, isa meM ya=7 / (13) ya+52-3+ 2 + 4 ya-10 = 16, isa meM ya =5 / (14) 1 + 2 = vaha isa meM y=2| Y . ya-1, 3ya-5 5ya- _ 1 .. For Private and Personal Use Only

Page #221
Shri Mahavir Jain Aradhana Kendra 204 8 ya (15) pa05 (17) (16) 128 + isa meM isa meM ya - 7 (15) 15 isa meM (19). hya (20) (24) (25) isa meM + ya 48 - 1 148-4 66 07 isa meM + isa meM 5 ya +2 ekavarNa ekaghAta samIkaraNa / 13ya - 6 165 12+29 143 (21) 38+7 ya - (22) 58-7-08-8 (23) 58 - 21 isa meM 38 - 2 10 (27) ya + isa maiM 318-6 28 - 19 18 (26) 19 + isa meM 28 - 13 21 www.kobatirth.org + + - 5 ya + 7 3 18- 22 35 + + 115--- 14 dhya- 47 187 3 (ya + 2+4 33. - 17. +9 25 ya - 1. + 2 231 385 00 ya - 9 + 22 20 +9 38- 15 35 E Xin no + 18 105 10ya+94 221 -- lha 3ya +13 14 13ya - p 58 - 13. 9(ya- 3) 12 35 420 11 + 26 isa meM , ya- 4 - - 3 = pUla 4 ya - 11 33. 4 (ya +1) 45 ya - 7 , = Acharya Shri Kailassagarsuri Gyanmandir 3 yaqi -5 10 ya+1 + Tha, isa meM + For Private and Personal Use Only gha - 19 7+12 53 -- kha : isa meM 138+6 51 111 4 isa meM 58 + 104 108 tha= + 10 +22 / ya = 2 / 3 53' 13 / ya - ya = 6 | ya = 441 ya =7 / 1 ya = 4 / ya = 29 / +16, ya gha - 3 // 10 ya - 1 / ya =6 / = 1928 - 28 - 15 - 51, ya = 17 /

Page #222
ya=10 / ekavarNa ekghaatsmiikrnn| (28) ya + (ya')- (ya+') = 57 - 4 5, isa meM (9) 4 (4 ya+1)-13 (ya-3) + 26 (4-1). = (6 ya + 1), isa meM (30) 2ya 3 - 13 (ya + 22+1) = 3 ya--10), isa meM (30) (ya10) (65.-1) - (21(13-") -{5ya + 2 = } { }}. isa meM ya / (32) 3 ya -1 - 21 yu-3 4 ya+3 5 ya-2 ___ = 4 ya-9 x 23 ya + 110, isa meM ya=3 / (33) 3.7 ya +.019 ya =. 03466 +. 25 ya, isa meM ya=.01 / (34) .37 ya + 2. 7534 -- 283 ya = 6. 255 ya, isa meM ya = 3 / (35) .5 ya+.83 ya = 2.086 -- 5 ya, isa meM ya:- 1 // (36) . ya+.4+.9ya +. ya = 4.50, isa meM (37) 2-+- - =26, isa meM .. . .. y3| (38) 43 ya +8 2 -13335- 1 . -- + --6, isa meM ya=6 / (39) ya-36 17 1832 81, isa meM ya29 / For Private and Personal Use Only

Page #223
206 . ekavarNa ekghaatsmiikrnn|| pra (40) 133 + 1 452-13-3- 11 - isa meM ya =5 / . 2 GIC " isa meM (42) ya+7-ya-5 = 38, dUsa meM ya -5 / SPIRI +ma ya-ya-3 = 133 - ya-, isa meM ya-38 / hai IN `lm ATI ya+212 10 ya= 1 / ya+11 ya+2 4 -32 (46) , isa meM ya+1 ya-15 2ya +1.. (47) - +21 = 10 + ya - 7 ya+8 10 - 1 isa meM y=13| 6ya-zya+. (48) 7ya- 6 = 2 ya+11+ ya+13, 13 . isa meM (49) 2ya+ 2 = 14 15033 isa meM yam / For Private and Personal Use Only

Page #224
ekavarNa ekaghAtasamIkaraNa / AT Cld 100 isa meM 4 12 Mim (51) , + ____2ya + 193.6.2... - 12 6 1740 isa meM y=11|| (12) 11 ya + 1.5 - .71 ya-2= 10.4, isa meM ya=6 / ya=91 y=5| y=2| (53) 15-15 =2, isa meM (54) 3+= 2+ 3, isa meM (55) 17-3ya + ya - Iya + 16 141, isa meM (56) ya-ya-3- saIyA isa meM (57) 3 +2+yaisa meM (58) yara -31 = yaisa meM ya=1 (59) 6 ya-313 + 11-15 - 2-3, isa meM ya=4 / (60). 7.45 +13+16 -2ya 10 = 17 - 25, " -- pa 2ya+17 ya - 2 zyapa 20ya--1 - 1 42 isa meM 1 (64) 3ya+2.2(ya-10-11 ya+3-7ya 20 + 5 -15 ya+0 isa meM ya= 1 (ba) kaca eka cara) isa meM TI ya%4 . For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 208 (63) (66) -5ya (ddala) 1 (64) 2(38+7) + 3 ya (65) (68) 28 1 no (69) ya+5 (93) ya +2 + ya 1, 38 + 8 + 14 isa meM 2ya+11 ya - + + 91 8 (70) ya+ isa meM ha' ya - 5 ya+11 raj PratasamIkaraNa / 5 ya + (71) ya+ra 4 (72) hAtha +4) isa meM ya 5 ya +2 3 ya - 7 48- - 11 isa meM + 5 ya+12 56+4 11 'ya+5 ya +9 1. ya e - 58 + 17 isa meM = www.kobatirth.org -- 3 ya + ya2. 1 9 | | | 9 22 + ca 4 ya ya - 1 ya - he zya+1' 4 mo 10 ya +7 = 2, isa meM + , 28 - 1, tha Y 3 ya +17 5 - 3 ya + 13 isa meM 38 + 1 35 2, isa meM +8 isa meM ya 4 isa meM isa meM ya + 9 18(ya + 7) = 3 ya - 6 3 4 (ya Acharya Shri Kailassagarsuri Gyanmandir Um (4) ya + = ++ isa meM ya -- 5 -3 ya-10 - 2 ya NIS ya .. (75) 3) daya , q +8+ ya* + 64 zya+5 = (ya +2) (ya+5) (ya +13) ya + For Private and Personal Use Only dhyaM - 1, isa meM ya = 11 // - ya = 2 (ya- 2), , 3 ya ya = 27 / ya ya = 11 / ya = 23 / 16 / gha = 5 / ya = 5. / ya = 3 (ya + () (ya +4) (ya+7) 1 ya= 2 / " ya - 37 / 31 ya = 9 / ya = 63 /

Page #226
- ekavarNa ekaghAtasamIkaraNa / para-3ya+3 ya2-9 +31 2-5 ya+s (76) ya-2 + ya-5- ya-3 ya-7 ya+ 13 ___+--- , isa meM y-33|| (7) aya- 1 = kya, isa meM ya= ak| ya (78) ya+++ = 1, isa meM ya = Rkaga ka+ g+kNg| caya ' ya +ka-ga ! -++, isa meM.ya-kacha (gaTa + ghaja). ghaTa (acha-kaca) / kaSa, gaya .... prakAra kaga + 7+H = akaga, isa meM ya = --- akarAra / __ + ya + ka / (82) ya yanaka, isa meM ____ya+k| (3) -ya_+_ya-=-a, isa meM +ka' a-ka ara-kara ya1 "ka kare are . +ya=- - + isa ma y-a-k| , ya + ka ( + ka - ga) (85) 4-+isa meM (86) 2 + ya ya cha, isa meM -- a, isa meM + ya = (a+ - ga cha / ya akara . a-ya-aga= aka-ya, isa meM ya= ka (ka+gA / 1+ 1 = 1 . ya+ + a 2 ya / (80) ya + a-2-=-4ka, isa meM ya-a ya+a ya-ara' isa ma yk| ya + 15 For Private and Personal Use Only

Page #227
- praka (1) FIE FR? PIN ga ekavarNa ekaghAtasamIkaraNa / ka-ya-ka, isa meM ya- +-+ = 2, isa meM ya+2 ara ya-a ya+a yara-ara ya+a ya -pra isa meM -a (ka+2) ka-3 (60 apraya samaya + ya apAya mayA - + 2 cAra+ ya+yara + 4 isa meM N ya= / bha ka () (-ka (ya+a) ( -kAya+ka- (ya+ (ya+ka)' (EE) _ 1 (a-ka) (a-ya) ka (a-ka) (ka-ya) + 'ya (a-ya) (ka-ya) yk| 2. rasa meM vArakara' ya+ + ga -kA (ka-ga) (ka -ya) . ya + + ka -ga)(ka -ga) (ga-ya) ya+ ka +ga + ( -ka ( -ga) (a-ya) dUsa meM ya+ga + ( -) (ka-ya) (ga-yA" ya +k| ya 3 aga +ka aka ' (a+ka) ' (2 a ( +ka) kaya +ka)2 3 gaya ka ' isa meM kagaya agaya (9) ( -ka) ( -ga) ( -ya) ( -ka (ka-ga) (ka-ya) gaya + -ga) (ka-ga) (ga-ya)-( -yA (ka-yA (ga-ya-kA-ga. - isa meM . For Private and Personal Use Only

Page #228
Read outremIkaraNa / 311 ghana 85 / uddiSTa samIkaraNa meM kendragama aura pakSAntaranayana karane se jo anta meM avyakta kA ekaghAta bace to usa ko samakriyA kA prakAra pUrva prakramoM meM dikhalAyA / paraMtu jo anta meM avyakta kA varga, ityAdi dhAta bace to pakSAntaranayana se samIkaraNa ke saba padoM ko bAMe pakSa meM kara denA taba arthAt dahinA pakSa zUnya hogaa| phira bAMe pakSa ke jo (41) ve prakrama se zIghra khaNDa ho sakeM aura una meM jo kisI khaNDa meM avyakta kA ekaghAta rahe to usa khaNDa ko zUnya ke samAna karo / taba pUrvokta samakriyA se jo vyakta kA mAna pAvegA vahI udviSTa samIkaraNa meM avyakta kA mAna hogA / jo una khaNDoM meM do vA tIna ityAdi aneka khaNDoM meM vyakta kA ekaghAta rahe to hara eka khaNDa ko zUnya ke samAna kara ke alaga 2 samakriyA karo to vyakta ke jo do vA tIna ityAdi mAna dyAveMge utane uddiSTa samIkaraNa meM avyakta ke mAna hoMge / isakI upapatti prati spaSTa hai / kyoM ki jisa samIkaraNa kA dahinA pakSa zUnya hai usa ke Ae pakSa kA jo koi khaNDa zUnya ho to usa bAMe pakSa kA mAna bhI zUnya hogA / yoM donoM pakSa zUnya ke samAna ekarUpa hoMge / isaliye usa zUnya tulya khaNDa se jo avyakta kA mAna AvegA vahI (81) ve prakrama ke (5) ve prakaraNa ke anusAra uddiSTa samIkaraNa meM avyakta kA mAna hogA / .. udA0 (1) 4 ya2. 5 ya = 38 - 9, isa meM ya kyA hai? --- yahAM patAntaranayana se, 582 - 28 ya (56 - 2) .. ya = 0 aura 5 ya udA0 (2) ya2 = 9, isa meM, pakSAntaranayana se, ghara - 9 = 0 =0 0 .. ya * ya kyA Acharya Shri Kailassagarsuri Gyanmandir (ya- 3) (ya + 3) - DER O For Private and Personal Use Only 1

Page #229
212 . ekavarSa ekaghAsamamIkaraNa / : ya-3-0 ora :.5-3 / para bhI ya+3-0 :.ya=-3 / udA0 (3) ya = ya -20, rasa meM ya kyA hai? pakSAntaranayana se, ya-95 + 20 = * (41) ve prakrama se, (ya-4) (ya- 5) = * .. ya-4- 0 aura ya = 4 dhaura ya-5-. :.y-5| -ya-8 udA0 (4) 2-3 =2ya-2, isa meM ya kyA hai? chedagama se, ya- 4 = (2ya. 2) (ya - 2) :: (ya +2) (ya-2) - (raya - 2) (ya-2) ghA, (2ya-2) (ya-2)- (ya + 2) (ya -2) . dhA, (ya--4) (- 2) = * :: ya-4 =*, ya=4 aura ya-20, y2| udA0 (5) ya-6 =ya, isa meM ya kyA hai? pattAntaranayana se, ya-ya-60 vA, ya-8-ya+2= . :: (ya- 2) (ya+2 +4) - (ya-2) -- . thA, (ya- 2) (ya+2+3) = . ya-2= aura y2| udA0 (6) ya+1 =2, isa maiM ya kyA hai? vedagama se, ya+1=2ya. pakSAntara0, ya-2+1= . .. (ya-1) (ya - 1) = 0 .. ya--1- * aura ya-1 // For Private and Personal Use Only

Page #230
Shri Mahavir Jain Aradhana Kendra chedagama se, at, yA, udA0 (7) C hai ? grahAM, ya 2ya + 1 = 0, ya = -- udA0 (8) ya... ( eka ekaghAta samIkaraNa / 58 - ye = 38 5 (82 - 1 ) 3tha (ya - 1) 5 (ya e - 1) - 3ya (ya- 1) T 5 (ya+1) (tha - 1) - 3ya (ya - 1) (2ya +1) (ya- 1 ) : 0 bA, www.kobatirth.org (gha2 + 2 - ka1) 2 2. (* +- kara 2 (ya + + ka) (gha + {(ya+) - kara} {ka 4 2 udA0 (9) ya* - (2 praya) - (7 * +-kara) 2 na 4 a (2+1+ -- ka e) (2Aya 1-1 + ka1) 42 aura thaM - 100, gha - 1 -- 3, isa meM ya kyA hai ? yahAM, (ya + the) (ya-the) - bA, yaM - a) (7-1) - (ya (ya-) (ya- 1) (ya ka) (tha 4 2 vA, (ya + a + ka) (ya-ka) (ya+ka) (a + ka - ya) : ya + a + ka = 0, tha + - ka 0, ya a + 0 aura a + ka - isa meM ya kA mAna kyA --- ka, vA + ka; vA - ka; vA aa + ka * Acharya Shri Kailassagarsuri Gyanmandir - -a)} = 2 - (a + 1) (- 1). tha, + ka) ( + ka (a + the) (ya - the) - . - 0. For Private and Personal Use Only ya) 213 0 isa meM ya kyA hai ?

Page #231
214 , ekavarNa ekaghAtasamIkaraNa / vA, (ya- a) (ya + 1) (ya -- 1) = " :: ya- .:. ya = a. ya+1= ., .:. ya = -1 aura ya-1-0 :. ya = 1 // abhyAsa ke liye aura udAharaNa / (1) 5 -0ya =33 + 13 ya, isa meM ya pora 10 / (2) ya =8, basa meM y=2| (3) aya+gaya = kaya-ghayara, isa meM (4) (ya-a)- ka = 0, isa meM ya= +k| (5) 2 ( ya - a)2= yara-a, isa meM ya3 a, aura a. (6) ya+ ya =2, isa meM | ya (7) ya = 4 (2ya-3), isa meM ra = 2 aura 6 / (c) ya (ya+ 11) = 6 (ya+1), isa meN| y=2| (C) ya -ya-3 ya + 7, isa meM == -1 aura 3! (10) (ya -2)3 = ya3-8, isa meM ya=2 aura / (11) ya = (ya-3) (ya-5), isa meM ya-3 aura cha / (12) iya-4= + 11, isa meM ya= 4 aura 23 // (13) ya-1-ya-1-patya-13, rasa meM ya= * aura 8 / / ya-1 5-ya - 2 ya isa meM ya= * aura 33 / (14) -ya ya -3- ya-3, _ya-4 ya+6 ya+9, isa meM ya= * aura / ya3- 24 ya+7 ya+8 16 ya-7ya (56) ya- ya-3' ya- - (ya-2) (ya-3) (ya-8) - isa meM ya paura im PIRN cluu (15) + For Private and Personal Use Only

Page #232
Shri Mahavir Jain Aradhana Kendra (10) pra ka) ( www.kobatirth.org anekavarNa ekaghAtasamIkaraNa / ga- 1 ga) (ka-ga) (ya + ga) ka 1 ka) (ka ga) (ya+ka) rasa meM Acharya Shri Kailassagarsuri Gyanmandir ghara - 1 +) (ya+ka) (ya+ga) 86 (1) jina anekavarNa samIkaraNoM meM jitane samIkaraNa hote haiM ve prathama prakAra ke haiM / 3 zranekavarNa ekaghAta samIkaraNa / | anekavarNa samIkaraNa tIna prakAra ke hote haiM / , 215 ya - 2 aura - 1 / vyakta hoM utane hi dUna meM avyaktoM ke mAna niyata rahate haiM arthAt ekaghAta samIkaraNe meM pratyeka avyaktoM kA mAna eka hi rahatA hai, vargasamIkaraNoM meM do ityAdi / (2) jina meM avyaktoM se samIkaraNa nyUna haiM ve dUsare prakAra ke haiM / dUna meM pratyeka avyakta ke mAna ananta rahate haiM / For Private and Personal Use Only (3) aura jina meM avyaktoM se samIkaraNa adhika hoM ve tIsare prakAra ke haiM / dana meM samIkaraNa azuddha hote haiM athavA azuddha na hoM to adhika samIkaraNa vyartha hote haiM / aba prathama prakAra ke samIkaraNoM kI samakriyA ke liye nirdiSTa aneka samIkaraNoM se aisA eka hi samIkaraNa utpanna karanA cAhiye ki jisa meM eka hi avyakta rahe / yaha samIkaraNa vakSyamANa tIna aitiyoM meM cAhA usa se utpana ho sakatA hai / (1) aneka samIkaraNoM meM jo eka hi avyakta ho usa ke unmitizroM kA sAmya karane se prathama rIti banatI hai| 1 (2) utthApana se dUsarI rIti banatI hai /

Page #233
anekavarNa ejathAtasamIkaraNa / (3) aneka samIkaraNoM meM nA eka hi avyakta hogA usa ke bArayo. sakoM ko samAna karane se tIsarI rIti banatI hai| anekavarNa ekaghAtasamIkaraNa kI samakriyA jisa meM do avyakta haiN| 87 / prathama rIti / pratyeka samIkaraNa se eka hi avyakta kI umiti nikAlo phira una do unmitioM ko samAna karane se eka samIkaraNa utpanna hogA isa meM dUsarA hi adhyakta rahegA* / taba pUrva samakriyA se usa kA mAna turaMta nikalegA phira utyApana se pahile avyakta kA bhI mAna jAta hogA / jaisA nIce diye hue udAharaNoM meM / (3+4= 32 sa udA0 (1) ya aurara kA mAna kyA hai? 15-6528 yahAM (1) aura (2) ye do viha krama se prathama aura dvitIya samIka. raNa ke motaka mAno taba (83) ve prakrama se (2) se, ye-86ra ye do ya ko umiti haiN| chedagama se, 160-20184+181 pakSAntaranayana se, 12+20 ra 160 -84 vA, 3ra76 : 2 paura ya =32-8ra isa meM ra ke mAna kA utthApana karane se Rom vA, - 216ra - 21642-2-12- 418 / . * rasa kI yukti (18) ve prakrama ke (1) mI pratyakSa bAta se spaSTa hai| For Private and Personal Use Only

Page #234
any ykssmghaaniiy'| (1) se, ra ko unmitira-32-3ya N MI ya . + 6 - chedagama se, 6-6ya = 10 ya-56 :: .19 ya = 152 aura ya = 153-8 taba utthApana se, ra= 32-3 ya = 32-24 ==2 dhA, -5ya- 28 - 408.28= =2 / isa prakAra se yahAM ya= 8aura ra2 ... 5 ya+3ya-2 = 16 udA0 (2) / isa meM ya aura ra kA 5ya-2ra 3ya + 1 = 13 mAna kyA hai? isa meM chedagama aura yathAsaMbhava savarNana karake (1) se, 38ya-2ra = 112 : ya-2ra+ 112 (2) se, 16ya-10 ra 47 : ya-10+47 : ra + 112 - 10 ra +47 / chedagama se, ra+ 112-20ra + 64 .. 185=18 aura ra =1 pUrvavat utthApana se, ya=3 athavA isa meMra ko unmitioM ko paraspara samAna karane se bhI ya aura ra ke mAna ve hI aavaige| 19 udA0 (3) sya,-30 ) e isa meM ya aura ra kyA haiM? For Private and Personal Use Only

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317 anekavarNa ekaghAtasamIkaraNa / (1) se yara -6ya+hara :: yara-6ya 6ra aura ya =ET rasI bhAMti (2) se 0 --- - - 5 vA, 6-30-7 chedagama ityAdi karma karane se, ra = 10 : ya = 15 - isa meM ya aura ra kyA haiM? (1) se, ya=ga kara atha+kara=ga udA. (4) caya+kara-ja 44 + + kara_ja-chara chedagama se, gaca-kacara = aja-- akara : (acha-kaca) ra = aja- gaca, :. ra= _achaja-kacaja achaja-gacacha kaca) ca (acha-kaca _gacacha-kacaja gacha-kaja ca (acha-kacA acha-kaca isI bhAMti ya ke dUsarI umiti meM bhI ra ke mAna kA utthApana karane se ya kA vahI mAna milegaa| . abhyAsa ke liye aura udAharaNa / 2 ya+3ra = 12 ) 3 ya+gr= 17 / ra 2' 4ya-52-35 / ya10 3ya+ ra + .. For Private and Personal Use Only

Page #236
Shri Mahavir Jain Aradhana Kendra (8) (5) (6) (c) (c) (C) (10) (11) 3 ya = 35 22=7ya - 45 ya + = 3 ya udA0 (1) 5 ya 4 ghara ya: 28. 5 3 ya - 1 ya T -- para + 40 = + aneka ekaghAta samIkaraNa / } kaya ghara ya+ra +2= 13 ya - 3 = G 17- 28. 5ra 3 ra * 3 2 + =3 ya ra =8 atha + kara kaya + ara gara www.kobatirth.org ya ra+8 gaya-kara = . = 2, aura ye + -- 06 = (ya + 2) (ra + 3) | (ya +3) (ra- 2) isa meM =4 2 praka aura isa meM 1 + kara 36+4Rs = * 32) 56 - 6ra= 38 ) isa meM 12ya - 1 13 ya 2=2 ra 1 Acharya Shri Kailassagarsuri Gyanmandir - isa meM ra =2 | ya = 8 isa meM =5 / ( ra=5 G= =8 ya == isa meM 12 1 ra = 4 isa meM ya = 3 aura ra = 6 | [ ya = a ka ga. ka (a +kara + gare) (gara - kare ) kaga For Private and Personal Use Only ya 3 I, isameM yU = 58 1 / ya = 219 - isa meM ya aura ra kyA haiM = 88 | dUsarI rIti / nirdiSTa samIkaraNoM meM jisa vyakta kI unmiti thor3e AvAsa meM mila sake usa kI nikAla ke usa kA usa ke dUsare samIkaraNa meM utthApana karo isa se aisA eka samIkaraNa utpana hogA ki jisa meM eka hi avyakta ho taba pUrva samakriyA se donoM avyaktoM ke mAna zIghra jAta hoMge / a + ga a + ga

Page #237
Shri Mahavir Jain Aradhana Kendra udA0 (2) aneka ekaghAta samIkaraNa / yahAM (1) se tha kI unmiti ya = 32 =4 ra isa se (2) meM 4ra utthApana karane se, 5{32 } - 6ra = 28 taba pUrvokta rIti se, ra = 2 aura utthApana se y=8| . ya 5 ya + udA0 (3) 10+47 paha (1) se ya 3 ya zra 58 - 21- 38 yara ya+ra yara ra www.kobatirth.org yahAM chedagama aura yathAsaMbhava savarNana karake (1) se, 38ya - 2ra = 112, (2) se 19 ya -- = 6 - === 30 taba pUrva rIti se, ra = 1 aura utthApana se, ya -6 = 16 { 3+16 6 ra ra -6 isa sarvAta kiye hue (1) le meM utthApana karane se 38 { 1081+42} - 2 8 = 112 - = 1 x ra - ra 1 kA mAna kyA hai ? 30 isa meM tha aura ra ina 6 ra ra de isa kA (2) meM utthApana karane se - 6ra Acharya Shri Kailassagarsuri Gyanmandir isa meM ya aura ra kyA hai ? ... 604 10Rs 47 = 6 ra 2 6 ra - rdeg + 6 ra savarNana se, : 6ra = 360 - 30ra : athavA yahAM (1) se para (2) se ghara = 30 ya - 30 ra ... ya = 15 / (3) (8) .. 30 ya - 301 = 6ya +6 : 24 ya = 36 ra ya = isa se (3) meM utthApana karane se, I = ra + Ira For Private and Personal Use Only 6ra 12- ra Rs = 10 aura utthApana se 6ya +66 ... 3 / 30 ....

Page #238
221 alngk ghaanmiikssaay'| vA, 3ra30 ::ra- 10 aura ya= 15 / aya+karaga hai isa meM ya aura ra kyA hai? ) ... udA0 (8) caya+kara-ja) gaka-rA acha-kaca (1) se, ya=gakA (2) meM utthApana se, caxga-kara+chara =na pRthakkaraNa me, ra= aja-gaca taba ya F gracha-kaca dasa meM a, ka, ga, ca, cha aura ja ye vyakta haiM / aba ina meM jo pratyeka a, ka aura ca =1 aura cha == --1 mAno to utthApana se,ya= gacha-kaja _-ga - =-paM pa = ga+ija aura ra= aja - gacca = ja-ga - gaja =ga-ja aura jo cha = a, caka aura jaga mAno to nirdiSTa samo. kara = ga. sabhAMti ke hoNge| kA -ga -kana // karayA ky+rg| aura ya= gacha-kaja = aga-kA=ga Rcha-kaba a+ ka ra-acha-kaca % 3D a-kara na + ka : isa meM ya-ra-ma / aura isa meM jo a=-ka mAno to ya-ra= == >> isa prakAra se ya aura ra ye dono ananta hoNge| isI bhAMti utthApana se ya, ra ke mAna aneka prakAra ke nikaleMge / abhyAsa ke liye aura udAharaNa / ya+3 ra ra 15) (1) 2ya-ra-2 rasa meM =3 aura r-4| For Private and Personal Use Only

Page #239
anekavarNa ekaghAtasamIkaraNa / / 2ya=17-32) ra yaha isa meM (3) +1r=, aura ya+3 ra8isa meM (ya1 nara-5 {5=13 / fya= 41 + (5) ya + 1 = 1 aura 4-yahAM ya =3 aura ra=8 / ya-22+19-2ya-4 +29 ) iya-ra+ 5 6ya-3+5 / ya+5+3 _ sya-ra+13 3ya+13+3 62-3ra+32) isa meM / tIsarI rIti / pahile patyeka samIkaraNa meM chedagama, ityAdi karma karake yathAsaMbhava savarNana karo / taba donoM samIkaraNa ke eka hI avyakta ke do vArayotakoM se paraspara ke samIkaraNa guNa deno athavA saMbhava ho to apavartita vAradotakoM se paraspara ke samIkaraNa guNa deo| taba una donoM samIkaraNoM meM usa avyakta ke vAradyotaka samAna hoNge| phira una vAradyotakoM ke cihU jo sajAtIya hoM to una guNe hue samIkaraNoM kA antara karo aura jo vijAtIya hoM to yoga kro| isa se eka samIkaraNa aisA utpatra hogA ki jisa meM eka hI avyakta hove taba ukta vidhi se donoM adhyaktoM ke mAna zIghra jJAta hoNge| udA0 (1) 3 ya+4ra33) 5-6ra686 isa - isa meM ya aura ra kyA haiM? yahAM ya ke vArayAtakoM se paraspara ke samIkaraNoM ko guNa dene se, 15 ya + 20 ra 160) . yahAM samAna vAradyotakoM ke cihna majA15 ya -18ra =84 tIya haiM : antara karane se, 38ra= 76 .. ra=2 dUsa se (1) utthApana karane se, 3 ya+c= 32, 3 ya = 24::: ya=8| isa prakAra se isa meM ya=8 aura ra= 2 / For Private and Personal Use Only

Page #240
Shri Mahavir Jain Aradhana Kendra aneka ekaghAta samIkaraNaM / athavAra ke vArayotaka 4, 6 do se apavartita karake 2, paraspara ke samIkaraNoM ko guNa dene se, tIya haiM .:. utthApana se, ra = 2| udA0 (2) 9 ya + 128 = 96 yahAM samAna vArayotakoM ke cihna vijA 108 - 12ra = 56 mAna kyA hai ? samIkaraNoM kA yoga karane se, 198 = 152 :. www.kobatirth.org udA0 (3) 5 8 + 38-2 = 16 582 ra .. (1) se, (2) se, spara ke samIkaraNoM ko guNa dene se, antara karane se, isa meM chedagama aura yathAsaMbhava savarNana karake 38 - 16 = 1 - 38ya - 2ra = 112 198 - 10ra = 40 ghara ya+ra ghara = 6 antara karane se, Acharya Shri Kailassagarsuri Gyanmandir 38- 2 = 112 38ya - 20ra = 94 10Rs = 18 ra = 1 aura utthApana se ya 3 / ? = 30 (ra - 6) ya = 6ra (30 - ra) ya = 30 ra - isa meM ya aura ra kyA hai ? ya yahAM (1) se (2) se, guNadene se, (30 - ra) (ra- 6 ) ya = 6ra (30 - ra) (30 - ra) (ra - 6) ya = 30ra (ra-6) 0 = 6ra (30 - Rs) - 30ra (Rs - 6) isa meM ya aura ra kA isa meM ya ke vAradyotaka 38, 19 apavartita karake 2, 1 dUna se para | 226 isa se ya = 8 For Private and Personal Use Only isa meM ya ke vArayAtakoM se paraspara ke samIkaraNoM ko 30ra (ra -6) = 6 ra (30 - 2), vA 5 (1-6) = 30 1 Rs = 10 aura utthApana se ya = 15 / samakriyA se

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224 anekavarNa ekaghAlasamIkaraNa ..athavA rasa bhAMti ke samIkaraNa ko samapriyA karane kI eka sulabha roti hai so aisii| prathama samIkaraNa ke donoM pakSoM ke aMza aura cheda ko palaTa dene se, yamara, dhA, 1 +2rasI bhAMti dUsare se, 1-2 -3. (3) aura (4) dana kA yoga aura antara karane se, :: ra 10 aura ya = 15 / 4 +37 udA0 (4) 4ya = 42+1 aura ra+2= 4 (ra+) isa meM ya aura ra dana kA mAna kyA hai? (1) se, 4 = 42deg + 1 (2) se, 45 = 42+129-29 : antara karane se 0 =-122+30, vA, para-30 :: ra-23 aura utthApana se ya =63 / cAya+kara-ga udA0 (5) - 2) - isa meM ya aura ra kyA haiM? caya+chara =ja isa meM ya ke vAradyotaka aaura ca ina se paraspara ke samIkaraNoM ko gugA dene se, acaya + kacara = gaca grAra acaya + akara = aja :: antara karane se (kaca - acha) ra gaca- aja ...gaca-aja aja -gaca :. ra-kaca- cha acha-ka' . kaja-ga aura utyApana se, ya-ja- gaDa- ca / kAca gata-kaja For Private and Personal Use Only

Page #242
Shri Mahavir Jain Aradhana Kendra (1) (2) (4) (5) 3 ya + 4Rs = 38 ======= (3) yU+ 8 =0 +8 =3 38-51-46 22=6 - 83 5 ya + 38 1 3 yA ya+2Rs a (6) ka+ra 5 ya - = aneka ezadhAtasamIkaraNa | abhyAsa ke liye aura udAharaNa / + ka ya ka tha = www = + 83 www.kobatirth.org isa meM ya6 aura 1=5 / - ka ra a + ka isa meM ya = 13. aura ra - 6-3 isa meM 12 aura 15 // = ya ra = 1 ka aura atha+ kara = ga isa meM a+ya +2 2 a 32 3 aura 48 - 3 2. isa meM ya = 2, ra = 1 / ya - isa meM ya = =8 => Acharya Shri Kailassagarsuri Gyanmandir aura ra = isa 16 aura ra 11 / 1 17. ya ra = are - ka + ga - 2ka For Private and Personal Use Only a + kare 3 a + ka 2 + kara vakra - pra. 1 Wo 1. 89, aur| ina tIno prakramoM meM jina udAharaNoM kA makriyA se gaNita karake dikhalAyA hai ve tInoM rotinoM meM samAna hi likhe haiM / isa kA kAraNa yaha hai ki kisa udAharaNa kI samakriyA kisa rIti se zIghra banalI hai yaha sIkhanehArA dekhe aura apanI buddhi se. bicAre taba aura usa jAti ke udAharaNoM meM usI rIti ko lagAve 1. 80 / kisI kisI sthala meM eka samIkaraNa ke do pakSoM kA dUsare samIkaraNa ke dono pakSoM meM bhAga dene se eka samIkaraNa aisA utpanna: hotA hai ki jisa se avyaktoM kA mAna thor3I kriyA se nikalatA hai| 16

Page #243
Shri Mahavir Jain Aradhana Kendra 226 anekavarNa ekaghAta samIkaraNa / - T = 21 (1) jaisA ya + ra = 9 (2) isa meM (1) ke donoM pakSoM meM (2) ke donoM pakSoM kA bhAga dene se ya (9) gha- ra= 3 (3) saba (2) aura (3) ina se ya = 5 aura ra= 2 / aura Upara kI rItiyoM ke tIsare udAharaNa meM (1) se (ra- 6) ya = 61 (2) se (30 - ra) ya = 30 ra (3) ke donoM pattoM meM (4) ke pattoM kA bhAga dene se (ra-6) ya ra) ya ra-6 1 (30-08 - 302 vA 3 --! 30 (3) taba samakriyA se, ra = 10, aura utthapana se ya = (8) ya + ra = 24 isa bhAMti aneka lAghava ke prakAra haiM ve samakriyA ke prati prabhyAsa se Apa se Apa mana meM prakaTa hote haiM / abhyAsa ke liye aura udAharaNa / ya - 21=3 www.kobatirth.org } ... ... ... ya +12ra = 67 ] 38 + ra = 26 Acharya Shri Kailassagarsuri Gyanmandir 48-71=30 ) zya - cx= 4 [ isa meM ya = 17 aura T=7 / 15 / 15 ya +20Rs = 247 18- 351-22 isa meM ya= 7 aura 1=5 / - isa meM gha 11 |r ra = 2 / } - isa meM ya = rora ra = 4 / For Private and Personal Use Only (4)

Page #244
anekavarNa ekaghAtasamIkaraNa / GANA - isa meM ya = 35 aura ra= 56 / Fola wala 31 + 1 = 5) isa meM ya = 36 aura ra 2yara-28, isa meM ya = 36 // + 3 isa meM ya = 19233 aura ra = 16 gaI / 85+5=1388 meM ya = 16 aura ra= 24 / 6ra+3ya = 150 + -- + isa meM ya= 8aura ra= e.+3 ya - 19 = 101 3ya- + 812= 13ma ya = 13 aura ra= 10 / praya+ 8ya-3 . 5ya+8ra ya-3ra +5yara = 17 esa meM ya = 12 + 17 12. (11) ya sya + 5 ya+4ra 5ya+ 15 81 51 ya+79-8ya - 132 =76 ra 13ya - 3 ra + 7 ya+er = 58+ 3 ya +172) 'dUsa meM ya = 75 aura ra = 15 / ya-17 - 41. = 15 - 5 ya ya 12 ra-15 + 3 (2ya + 3) = 50-7ra + 19 ya --1 . S - 4. para . . (13) isameM For Private and Personal Use Only

Page #245
anekavarNa ekAsamIkaraNa / ___5ya-ra+4 - 5 ya-13 ra + 32 =2) 5ya- T + 8.. -13ra+3 22 ya . 9 ya -13 + 1 + 2 12 (14) 7 ya+ra-4 - 15 ya-12ra+1=1, isamara-5' ., 25-26-5 yara =er+13+19586ra / 7ya+5-32-5= 8ya13 ra 11 ya + 52470) ya-4872 aura ra= 420 / LIO (15) ___ + 4ya 7 + +3 1 3/ USA H isa meM 16 aura ra 4ra+5 m 6 +8-5 ya+4 | 5ya+ra- 6 8ya-13+2 --05----4+ QY ya= 1. aura ra isa meM +7= 11 dasameM -5 aura pa-3 / ye-- / vya-dara 38 isa meM ya= 2 aura ra=1 ya maiM 5 yara Du+6 N+ isa meM ya= 21 aura r=| ANI For Private and Personal Use Only

Page #246
Shri Mahavir Jain Aradhana Kendra (31) (PR) (*3) (24) (25) aneka ekaghAsasamIkara (zya + 3) (3+4) = 68 + (ya +2) 50-08 14 isa maiM ghara + 5tha = 4Rs- 7+ tha+2Rs = 14 -- 4ya +9 10 329 isa meM isa meM + 58-2za 14 + para = ra + 31 + 10 tha - raM = 1 5. tha 11 ya 3(0 ya +5) www.kobatirth.org -- 2ya - ra 7 ya + m 1 ra S - 1 isa meM 38+5+1 7ya-3ra + 6ra -5 14 Acharya Shri Kailassagarsuri Gyanmandir } isa meM ya (6) ya = 7 aura raM = 3 / 1 4 3ra 12ya-pUra - isa meM ya = 6 aura Rs =5 / 6 ya +13 15 = 8 aura 1 - 3 | 3. ya For Private and Personal Use Only gha - 7 aura rA ' + 14 14 ya = 1 aura 2 = 32| P kava ekaghAta samIkaraNa kI samakriyA jisa meM tIna Adi avyakta haiM / 81 / jo tIna avyakta hoM to unakA mAna ThaharAne ke liye tIna samIkaraNa cAhiye taba usa meM ukta vidhi se do samIkaraNoM se eka zrAvyakta ko ' ur3A ke eka samIkaraNA utpanna karo aisA hi ina do samIkaraNoM meM se eka aura eka jo zeSa bacA hai ina do samIkaraNoM se usI avyakta ko ur3A ke eka dUsarA samIkaraNa utpanna karo isa prakAra se do samIkaraNa utpanna hoMge jina meM do avyakta hoMge taba una kA mAna pUrvokta vidhi se nikAlo phira utthApana se tIsare avyakta kA bhI mAna jAna leo /

Page #247
any ykssdaaniijye| .. athavA tIna samIkaraNoM meM koI do samIkaraNoM se jo ho sake to do avyaktoM kI unmiti aisI nikAlo ki jinameM avaziSTa eka hi adhyakta rahe / taba una umitiyoM kA avaziSTa samIkaraNa meM utthApana karane se gaka samIkaraNa aisA utpana hogA ki jisa meM ekahI avyakta hogA taba samakriyA se usa adhyakta kA mAna jAna ke utthApana se aura do avyaktoM ke bhI mAna jAna lenaa| jo cAra avyakta hoM to una ke mAna cAra adhyaktoM se jJAta hoNge| usa kA prakAra yaha hai| nirdiSTa cAra samIkaraNoM se parvAta rIti karake tIna samIkaraNa utpanna karo aise ki jina meM tIna hI avyakta hove| taba una tIna avyaktoM ke mAna Upara ke vidhi se jJAta hoMge phira utthApana se cauthe kA bhI mAna jJAta hogaa| isI bhAMti nina pAMca Adi samIkaraNoM meM utanehi avyakta hoMge una kI bhI sakriyA jaano| udA0 (1) ya+ra+la13, 2 ya-3ra+8 la = * aura 3 ya +42-5la = 29 isa meM ya, ra aura la dUna ke mAna kyA haiM? yahAM (1) se ya = 13 - ra - la, (2) se ya = 3ra--4la :: 6-22-2la =3ra-4 la, vA, 5ra-2la = 26 / athavA, (1) se ya = 13 -ra-la isa umiti kA (2) meM utthApana karane se, 2(13-ra-la)-3ra + 4 la = 0 :. 26-12-2la-3ra+4 la=0, vA, 5ra-rala=26 / ko Upara utpatra huA thA sohi samIkaraNa utpanna huaa| For Private and Personal Use Only

Page #248
anekavarNa ekaghAtasamIkaraNa athavA tIsarI rIti se, (3) ko 2 se guNa meM sya+2 ra + 2la = 26 (2) 2ya-3+4la = . .. antara se, 5ra-2la = 26, yaha vahI samIkaraNa hai jo pahile do bAra utpanna huA hai| isI bhAMti (2) aura (3) ina se ya ko uhA ke yaha samIkaraNa utpanna hotA hai, 17 ra-22 la =58) aura Upara kA utpanna samIkaraNa 52-2.la = 26.) ina donoM meM ukta vidhi kara ke sakriyA se, ra6aura la = 2 phira utthApana se ya =5 athy'aa ya= 13-ra-la (3) kA (2) meM utthApana kara ke sarNita karane se 52-2la = 26 : rarela 26 (8) (4) kA (3) meM utthApana karane se ya = 13 - 2la 26 -la = 65-2la - 26 - 5 la = 39-7la (5) .:. (4) aura (5) ina mitioM se (3) meM utthApana karane se 3 (3-la)+4 (2la. 28)-5la - 2 vA, 117-21 la+ +104-25 la = 145 : 38la = 76 aura la =2 phira ya = 3-7la = 39 - 14 = 25 - 5, paura ra = 2la +26 = 4+630 -6 / For Private and Personal Use Only

Page #249
Shri Mahavir Jain Aradhana Kendra unar ekadhA samIkaraNa / isa bhAMti isa udAharaNa meM ya = 55 = 6 aurata-2 www.kobatirth.org udA0 (2) ya +21 - 3 la = 10, 4 ya + ra * 29 aura 01 - 5la = 16 isa meM yara aura ladUna kA alaga mAna kyA hai ?. yahAM (3) re se ra= 5 la+16, ora (2) re se ya== tabara ke sthAna meM usa kI unmiti ko rakhane se 609 5 la - - 16 593 5 la 84 84 (1) se Acharya Shri Kailassagarsuri Gyanmandir .. +2 isa meM aba ya aura ra dUna kI unmitiyoM kA (1) meM utthApana karane se 523 - 5la 84 (5 la+-16) chedagama se, 593 - 5la + 120 la + 384 - 252 la pakSAntaranaghana se, 937 la = 130 .. la = 1 utthApana se ya= 0 aura isa prakAra se udA0 (3) ya + ra = 17, ya + la = 12 aura + la = isa meM thara aura la ina ke mAna kyA haiM? 3la = 10 5 la + 16 87 8 = 7,ra = 3 aura la - 1 | For Private and Personal Use Only ya = 10-8, (2) se ya = 12-la, 17- 1=12 - la aura la= ra-5, la kI unmiti kA (3) ra meM utthApana karane se ra+ra- 5=9, 12 840. no 24 = 14 aura ra=0 taba utthApana se ya = 10 aura la 2 /

Page #250
Shri Mahavir Jain Aradhana Kendra anekavarNa ekaghAta samIkaraNa Shen Yun athavA isa bhAMti ke udAharaNa meM pahile tInoM samIkaraNoM kA yoga kara ke usa meM 2 kA apavarta karo taba usa meM eka eka samIkaraNa ghaTAdene se tInoM avyaktoM ke mAna turaMta jJAta hoMge / jaisA / yahAM (1), (2), aura (3) ina kA yoga karane se. 2+21+2 la = 38 2 kA bhAga dene se, ya+ra+la paha isa ko tIna sthAnoM meM rakha ke krama se tInoM samIkaraNoM ko ghaTA dene se, ya + ra + la = 18, ya + ra + la = 18, ya + ra + la ya+ra aura q = 12, ya = (1) se (2) se at, ghaTA dene se, = re he 15 = 1 1 Velom 1 + T ya + thara .1 udA0 (4) 55 isa meM yara aura la ina kA mAna kyA hai ? -- 1 www.kobatirth.org yahAM tInoM samIkaraNoM kA yoga karane se, + T + bAye+re+lele esa meM pratyeka samIkaraNa ko 0 + la - 12, 1 1 10, yeM + 45 16 61 - 2, vA, 10 10 = 2 = 240 90 - = ghara 1 = udA0 (5) gha+ra pala ya + la yara aura la ina kA mAna kyA hai ? 45 1 pada + 1 11/144 + 1 T q ya = 10 .ra = . ya = - Acharya Shri Kailassagarsuri Gyanmandir (+ aura hai + 1 For Private and Personal Use Only .. la 80 18 / = 19 = 22 -2 rala aura ra+va = , q 4 " isa meM

Page #251
234 anekavarNa ekaghAtasamIkaraNaM / (3) se .. .++=".. taba cauthe udAharaNa ke aisI samakrayA karane se __ya = 2, ra-3 aura la=3 abhyAsa ke liye aura udAharaNa / (1) ya+3+4 la=25,3 ya+ ra+5la = 34 paura 4 ya+ 5ra + 7 la = 45, isa meM ya = 4, ra =3 aura la -2 (2) ya+2ra-4 la = 9, 2 ya+ra+9 la =50 aura 3ya -5ra + la =5, isa meM ya = 6, ra = 5 aura la =3 / ___ (3) ya+ ra+Ila = 200, ya+ ra+ la = 159 aura ya+ ra+1la = 144, isa meM ya = 111, ra= 108 aura la = 105 / (4) ya+ra+ la = 20,3 ya+ra= 23 aura 5ra-2 la = 26 isa meM - - ya=5, ra 8aura la7 / (5) ya+ ra 8, ya+ la = 50 aura ra+la = 12 - ya = 3, ra 5 aura la =7 / (6) 1 ya+116, 3. ya+la = 5 aura 1+1=3 isa meM ya=8ra6aura la=4 / - (7) 5+3+ - 3. ye + 1 aura the-hai+ne = 1, isa meM ya= 2, ra = 3 aura la-6 / (8) +7 -, + - aura 3 + = hai. dUsa meM ya= 60, ra= 60 aura la = 180 / (1) ya+ra ra= 15, cala = 24 aura tarala = 40 . , ya+la isa meM ya= 24, ra=40 aura la / mA. For Private and Personal Use Only

Page #252
nAra-3 +3 ekaghAtasamIkaraNasambandhi prazna / 225 (10) ya-ra+ la = 1, (+ka) ya-(a+ga) + (ka+ga) la -2 aura akaya- agara+kagala = 3, isa meM gara-2+3 kara-2ka+3 . ya= (a-ga) (ka-ga),ra (a-ka (ka-gArala- (a-ka) (a-gaa| (11) ya-ara+ala aya-kara+karalaka aura ya- gara + galaga, isa meM ya = akaga, ra= aka+aga+kaga aura l=a+k+g| . (12) yA- a yayana 2 aura elana - " isa meM ya- ke-gara-a+-+ aura la-ka+ga-a . ___ (13) 2 + 2 - 2 + - * aura 1 + -1, isa meM ya= agara 2 akaga 4-aga+kaga-kAra-aka+kaga-Rga, prAra la-aka+aga-kaga / (14) ya+ra+la=6,ya+ra+va=6,ya+la+va= aura ra+la+3=5, isa meM ya =2, ra =3, la = 4 aura va 1 / 23kA akaga bIjagaNitasaMbandhi prazna jina se ekaghAta samIkaraNa utpanna hote haiN| 12 / jisa prazna kA uttara jAnanA ho usa kA saba artha pahile acchI bhAMti mana meM le Ao aura taba aisA soco ki isa meM jo avyakta arthAt ajJAta saMkhyA hai vaha jo jJAta ho to kisa prakAra se usa saMkhyA kI pratIti kareMge? arthAt yaha saMkhyA usa avyakta rAzi kA mAna ThIka hai vA nahIM yaha kisa prakAra se jAneMge? taba jisa prazna kA pratIti dekhane kA prakAra acchI bhAMti mana meM prAdhegA usa prazna kA uttara bIjagaNita se jJAta hogA / so isa prakAra se| For Private and Personal Use Only

Page #253
ekadhAtasamIkaraNasambandhi prazna / prazna meM jo avyakta rAzi hogA usa kA mAna ya mAno aura usI ko avyakta rAzi kI jJAta saMkhyA samajha ke usa kI pratIti karane ke prakAra se usa saMkhyA meM prazna kI bolI ke anusAra saba gaNita karo to anta meM aise do pakSa ThahareMge ki jina meM paraspara koi niyata saMbandha ho / jo una meM paraspara samatva saMbandha ho arthAt una donoM pakSoM ke mAna paraspara samAna hoM to una ko = isa cihna kI donoM ora meM likha dene se eka samIkaraNa utpanna hogA / aura jo una do pakSoM meM koI aura saMbandha ho to una meM kisI eka pakSa meM aisA saMskAra karo ki jisa se donoM pakSoM ke mAna tulya hoveM / taba una se ukta.. prakAra se eka samIkaraNa hogA / usa kI samakriyA se ya kA mAnaM jJAta hogA vahI prazna ke avyakta rAzi kA mAna hogA usa se prazna kA uttara saba spaSTa hogA / jo prazna meM aneka avyakta rAzi ho to una ke mAna alaga 2 ya, ra, la ityAdi mAna ke una se ukta prakAra ke anusAra alaga 2 do 2 samAna pakSa siddha karo to jitane avyakta rANi roge usane dhokAmA janna hoNge| taba aneka samIkaraNa kI samAkrayA sa ya, ra, la ityAdi avyaktAM ke mAna jJAta hoMge una se prazna kA uttara spaSTa hogA ! athavA jaba prazna meM aneka avyakta rAzi haiM taba una meM jo eka zravyakta kA mAna jJAta hone se aura saba avyaktoM ke mAna jJAta hote. hoM to kabhI 2 yoM karate haiM ki usI avyakta ko mAna ya mAna ke usa se aura avyaktoM ke mAna ThaharA ke do pakSa siddha karate haiM una se eka hi samIkaraNa utpana hotA hai / taba samakriyA se ya kA mAna jAna ke utthApana se aura avyaktoM ke mAna jAna lete haiN| yaha saba kriyA Age jo udAharaNa likheMge una se spaSTa hogI / prazna 1 / jisa saMkhyA ko dUnI kara ke usa meM usI saMkhyA kA AdhA jor3a doo to yoga 15 hotA hai vaha saMkhyA kyA hai ? For Private and Personal Use Only

Page #254
ekaghAtasamIkaraNAsambandhi prazna / yahAM ya = adhyAta saMkhyA, taba prazna kI bolI meM '2 ya+ ya, aura 15 ye donoM pakSa paraspara tulya haiN| -:. 2ya+ = 15 yaha samIkaraNa hotA hai / taba chevagama se, 4 ,ya + ya =30, vA, 5 ya = 30, :. ya =6 yaha saMkhyA / yahI uttara hai| kyoMki 246+6 = 12 +3 = 15 / prazna 2 / jisa saMkhyA ko tigunI kara ke usa meM 17 ghaTA deo to zeSa meM usa saMkhyA se 5 adhika rahatA hai vaha saMkhyA kyA hai? yahAM ya = adhyakta saMkhyA, to prazna kI bolI ke anusAra 3 ya - 17 aura ya+5 ye do pakSa siddha hote haiN| aura ye dono paraspara samAna haiN| .. 3 ya-17 = ya + 5, taba pratAntaranayana se 2 ya =22 :: ya = 11 arthAt vaha saMkhyA 11 hai| yaha uttr|| prazna 3 / sa isa saMkhyA ke aise do bhAga karo ki pahile kA caturthIza aura dUsare kA paJcamAMza milake 5 ho to ve bhAga kauna yahAM ya= pahilA bhAga, aura ra= dUsarA bhAga taba prazna kI bolI se, ya+ra = 21 aura ya +1ra5 ya = 21 -ra isa umiti kA (2) meM utthApana karane se, 1 (21-) +9ra5, chedagama se, 105-5+8ra = 100 . ra= 5, yaha dUsarA bhAga hai aura ya = 21 ra 21-5- 16 baha pahilA bhAga hai| For Private and Personal Use Only

Page #255
ekaghAtasamIkaraNasambandhi prazna / athavA yahAM eka bhAga ko jAnane se dasarA bhAga taraMta jAna sakate haiM isa liye yahAM jo ya = pahilA bhAga mAno to spaSTa hai ki 21 - ya = dUsarA bhAga hogA : prazna kI bolI se, yU +25 ya = 5, chedagama se, ya+ 84 - 4 ya = 100 .. ya = 16 yaha pahilA bhAga hai, aura dusarA bhAga =21- ya =21-16 =5 / isa prakAra se yahAM 21 isa saMkhyA ke 16 aura 5 ye do bhAga haiN| yaha uttara / / prazna 4 / dro nagaroM meM 140 kosoM kA bIca thA una do nagaroM se aaura ka ye do manuSya paraspara milane ke liye eka hi kAla meM cale; usa meM a manuSya prati dina 11 kosa calatA thA aura ka ra kosa ca. latA thaa| taba nagara se calane ke pIche kitane dina para una donoM kI mArga meM bheTa haI? ___ yahAM mAnoM ki calane ke pIche ya dina para una kI mArga meM bheMTa haI, taba 11 ya = a ke calane ke ko kosa ra ya = ka ke calane ke kosa / .:. 11ya+ ya = 140, * vA 20 ya = 140 aura ya =7 / apane 2 gAMva se calane ke pIche dina para aura ka ina kI para. spara bheTa huI / yaha uttara / prazna 5 / a, ka, ga ina tIna manuSyoM ko sAjhe ke vyApAra meM ekaTe 540 rupaye mile, usa meM a, se ka, ke 153 rUpaye adhika. the aura ka, se ga ke 126 rUpaye nyana the to usa meM hara eka ke kitane 2 rupaye the? yahAM ya= a, ke rUpaye, ra=ka, ke rupaye aura la = ga, ke rupye| to prazna kI bolI se, ya+ra+la = 540, ya =ra- 153 aura rala+126 ye tIna samIkaraNa hote haiN| taba For Private and Personal Use Only

Page #256
ekaghAtasamIkaraNasambandhi prazna / (3) re meMra ko unmiti se (2) re meM utthApana karane se ya=la + 126 - 153 = la-27, aba ya aura ra dana ke umitioM se (1) meM utthApana karane se la-27+ la+126 + la = 540, :: 3 la = 441 aura la = 147 yaha ga, kA dravya hai / taba utthApana se, ya = 120 yaha a, kA dhana, aura ra=273 yaha ka, kA dhana hai| athavA mAno ki ya = a, kA dhana to ya+ 153 = ka, kA dhana aura ya+ 153 -- 126 = ya + 24 = ga kA dhana, :: ya+ya+ 153+ ya+27 = 540, vA, ya= 360 : ya= 120 yaha a, kA dhana hai| taba utthApana se, ya + 153 -- 120 + 153 = 273 yaha kakA dhana aura ya+27 = 147 yaha ga, kA dhana hai| yaha uttara / prazna 6 / jisa bhitra saMkhyA ke aMza meM 2 jor3a dene se usa kA mAna 3 aura cheda meM 3 milA dene se usa kA mAna hotA hai vaha bhinna saMkhyA kyA hai ? yahAM mAno ki ya = avyakta bhitra saMkhyA kA aMza aura ra- cheda hai to ya = adhyakta bhitra saMkhyA hogii| .:. prazna kI bolI se, ya+ 2 = 3 aura 4 - / (1) se, ra= 2ya + , aura (2) se ra=3 ya -3 ":. 2+4=3ya-3, :. ya = 7 yaha aMza hai aura utthApana se ra -2ya + 4 = 18 yaha cheda hai : yaha abhISTa bhitra saMkhyA hai| yaha uttr| For Private and Personal Use Only

Page #257
Shri Mahavir Jain Aradhana Kendra to 240 ekaghAta samIkaraNasambandhi prazna / prazna 7 | dozroM kI eka saMkhyA hai usa meM jo una do zraGkoM ke yoga kA bhAga dekho to bhajana phala AtA hai aura jo usa saMkhyA meM 18 ghaTA dekho to zeSa meM unhIM aGkoM kI sthiti palaTa ke rahatI hai vaha saMkhyA kauna hai ? mAno. t= www.kobatirth.org aura eka sthAnIya ya - usa saMkhyA kA dazasthAnIya aGka - Acharya Shri Kailassagarsuri Gyanmandir aGka 10 ya + ra = saMkhyA 10 ya+ra = 0 aura savarNana se, ya = 26, ya+ra 10 ya + 18 = 101+ ya lya = hara + 18, bA, ya= ra + 2 .. Rs = 2 aura ya = 4 : 42 yaha saMkhyA hai / yaha uttara | prazna 8 / aura ka do mitra the una meM a ne ka, se kahA ki jo tuma hama ko 16 rupaye deo to hamAre pAsa tuma se tigune rupaye ho jAeMge, taba ka, ne a, se kahA ki jo tuma hama ko 10 rupaye de to hamAre pAsa tumase caugune rupaye hoNge| taba aa aura ka ina ke pAsa kitane 2 rupaye the se kaho / yahAM ya a, ke rupaye, aura ra = ka ke rupaye taba prazna kI bolI se, ya + 16 = 3 (ra - 16) aura 4 ( the - 17) = ra + 1 : samakriyA se, ya = 28 aura ra= = 31 // .:., ke pAsa 29 rupaye the aura ka, ke pAsa 31 the yaha uttara / isa meM 16 aura 17 ye krama se a aura ka ina ke dAna kahalAveM aura 3 ra 4 ye guNa kahalAveM / aba jo a, kA dAna pa aura guNa pha aura ka, kA dAna ba aura guNa bha ho to prazna kI bolI se isa bhAMti ke do samIkaraNa utpanna For Private and Personal Use Only

Page #258
i T phama-1 ebAdhAtasamIkarabAsamAdhi prshk| hoMge, ya+4= pha (ra-pa) aura bha(ya-ba) =+ba, bata samakriyA / ya-ba+ aura + (pa+ ba. (bha + 1 ye yA aura rake mAnaH pa, kaba aura bha ina padoM meM labdha hue haiN| isa liye isa bhAMti ke prazna. meM pa, pha; bAra bhavana ke saMkhyAtmaka mAnoM se ya aura rake mAnoM meM utyApana karane se ya aura ra ke. saMkhyAsmata mAna turaMta prApta hog| .. jaisA Upara ke prazna meM pA= 16, phaH= 3, ba= 10 aura bha= 4. :: ya = ba+ ( pa = 49 + 3343 = 10 + 12 = 29, paura, ra= + + ba bha + = 16+ 33.45 = 16+ 15 = 31 yo ya, aura ra ke asarAtmaka mAnoM se isa prakAra ke prazna kA uttara lAghava, se jAnane ke liye maiMne eka sUtra banAyA hai| dAnalye khelomA svAsvaguNemAhale vikoNaH / guNaghAlena hRte sve. syaataamnyonyaadaansNyukt| . isakA artha / bAgoM kA yogado. sthA meM kho usako se eka se adhika apane 2 guNa se guNa denA aura una meM guNoM ke guNana. phala meM eka ghaTA ke. zeSaH kA bhAga deo phira ladhiyoM meM parammA ke dAna jor3a deo| ve yoga krama se una puruSoM ke dhana hoNge| praznaH / jo kAma prA. manuSya: pa dina meM karatA hai. vahI kAma ka manuSya pha dina meM karatA hai to aaura ka.ye donoM mila ke sAtha vahI. kAma kitane dina meM kareMge kA? yahAM mAno ki. aura ka. mila ke sAtha ya dina meM vaha kAma kareMge aura 1 yaha usa eka, kAmaH kA dyotaka hai, to. ya= ya.dina meM a, ke. kAmaH kA vibhAga, aura 2 = yadina meM ka, ke kAma kA vibhAga ya + 2 = 1.:. samakriyA se, yana-pha For Private and Personal Use Only

Page #259
242 ekaghAta samIkaraNa sambandhi prazna / prazna 10 / jo kAma a aura ke mila ke 21 dina meM karate haiM vahI kAma aura ga mila ke 30 dina meM karate haiM aura ka aura ga mila ke 70 dina meM karate haiM to hara eka manuSya kitane dina meM vaha kAma karegA ? yahAM mAnA ki vaha kAma a manuSya ya dina meM karatA hai aura ka manuSya ra dina meM aura ga manuSya la dina meM karatA hai to ve prazna ke 'avyakta ke mAna ke Azraya se aura isa prazna kI bolI se ye tIna samIkaraNa utpanna hoMge yara ya+ra 21, yala rala = 30 aura ya+la ra+la taba samakkrayA se, ya = 30, ra = 20 aura la Acharya Shri Kailassagarsuri Gyanmandir = 70 : = 1 * vaha kAma a manuSya 30 dina meM, ka manuSya 90 dina meM karegA aura gaM manuSya ananta dina meM arthAta vaha kucha kAma nahIM karatA thA / abhyAsa ke liye aura prazna / (1) vaha saMkhyA kyA hai ki jisa ko dUnI kara ke usa meM 3 milA deo to yoga usa saMkhyA ke tRtIyAMza se 28 adhika hotA hai ? uttara, 15 / (2) vaha saMkhyA kauna sI hai ki jisa kA aura ina kA yoga usa ke se 10 adhika hotA hai ? uttara, 60 / (3) 17 isa saMkhyA ke ve do bhAga kauna se haiM ki jina meM eka dUsare se 5 adhika hove ? uttara 11 aura 6 / (4) eka saMkhyA aisI hai ki jo usa meM 7 ghaTA ke zeSa ko 0 se guNa deo aura usI saMkhyA meM 3 ghaTA ke zeSa ko 3 se guNa deo to ve donoM guNanaphala paraspara tulya hote haiM, vaha saMkhyA kyA hai ? uttara 10 / For Private and Personal Use Only

Page #260
ekaghAtasamIkaraNasambandhi prazna / . (5) jina do saMkhyAoM kA antara do hai una donoM meM jo 1 nor3a deo to pahile yoga se dasarA yoga dUnA hotA hai| ve do saMkhyA kyA haiM? (6) a aura ka ye do manuSya juA khelane baitthe| usa samaya a, ke pAsa 763 rupaye aura ka, ke pAsa 586 rupaye the| phira una kI paraspara bahuta bera hAra jIta huI / anta ko jaba vahAM se uThe taba ka, ke pAsa a, se dUne rUpaye hue / to a, se ka kitane rupaye jItA? uttara, 310 / (7) do lar3akoM meM bar3A lar3akA choTe se vaya meM do barasa bar3A thA paraMtu 5 barasa pahile vaya meM dUnA thaa| taba una do lar3akoM kA dhaya kitanA 2 thA? uttara, bar3e lar3ake kA vaya 6 barasa choTe kA vaya 7 barasa / (e) kisI manuSyane kucha kabUtara aura tote mila ke 20 pakSI 11 rupaye para mola liye usa meM hara eka kabatara kA mola ( Ane aura hara eka tote kA mola 7 Ane thA taba una patioM meM kitane kabatara aura kitane tote the? uttara, 18 kabUtara aura 2 tote / ___ (C) eka sarovara ke madhya meM eka khambhA khar3A thA / usa kA ! bhUmi meM gar3A thA, koca meM thA aura jala meM thA aura jala ke Upara 111 arthAta sAr3he gyAraha hAtha dikhAI detA thaa| to vaha saba khambhA kitane hAtha lambA thA ? uttara, 30 hAtha / (10) eka mAtA kA baya usakI lar3akI ke vaya se caugunA thA For Private and Personal Use Only

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ghAta samIkaraNa sambandhi prazna / 244 parantu 5 barasa pahile naugunA thaa| to mAtA kA aura lar3akI kA baya kitanA 2 thA? uttara mAtA kA vaya 32 barasa aura lar3akI kA barasa / (11) eka manuSya ke pAsa do ghor3e aura sau rupayoM kA eka jIna thA jaba vaha manuSya pahile ghor3e para jIna rakhatA thA taba usa jInasameta ghor3e kA mola dUsare kevala ghor3e ke mola se dUnA hotA thA aura ba vaha jIna dUsare ghor3e para rakhatA thA taba usa jIna sameta ghor3e kA mola pahile kevala ghor3e ke mAla se tigunA hotA thA to hara eka ghe kA mola kyA thA so kaho ? uttara, pahile ghor3e kA mola 60 rupaye aura dUsare kA 80 rupaye | (12) taka manuSya ko aura ka do putra the| usa ne apane maraNA samaya meM usa ke pAsa jitanA dhana thA utanA donoM putroM ko samAna bAMTa diyaa| pIche a ne eka barasa meM 540 rupaye aura milA ke apane vibhAga meM DAla diye aura ka ne apane vibhAga hi meM se eka barasa meM 325 rupaye ur3A diye| taba ka ke pAsa jitanA dhana bacA usa se ke pAsa dUnA dhana ho gyaa| to usa manuSya ke maraNa samaya meM usa ke pAsa kitanA dhana thA ? uttara 2380 rupaye | (13) eka dhanika ne puruSa ko 8 paise strI ko 5 aura lar3ake ko 1 isa krama se kitane eka daridroM ko 100 paise bAMTa diye| una meM puruSoM se AdhI strI thIM aura dUne lar3ake the| taba usa meM puruSa, strI aura lar3ake kitane 2 the ?. uttara 8 puruSa, 4 strI aura 16 lar3ake / (14) eka lar3ake ne apane bApa se pUchA ki bAbU jI merA vaya kyA hai taba bApa ne kahA ki beTA abhi terA vaya merI vaya kI tihAI se For Private and Personal Use Only

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ekaghAta samIkarasambandhi prazna / QBHao 3 barasa adhika hai parantu do barasa pahile terA vaya mero vaya kI cauthAI se cAra barasa adhika thA / taba usa samaya bApa kA baya kyA thA cora lar3ake kA kyA thA ? uttara, bApa kA dhaya 30 barasa aura lar3ake kA 13 barasa / (15) eka manuSya kAzI se prayAga kI ora calA vaha eka ghar3I meM eka kosa calatA thA phira 40 pala pIche usa kA bar3A bhAI apane choTe bhAI ko phera lAne ke liye usI mArga para calA vaha eka ghar3I meM 1 kosa calatA thA / taba vaha bar3A bhAI apane choTe bhAI ko kAzI se kitanI dUra para milA ? uttara, 3 kosa para (16) eka manuSya ne 8 lar3akoM ko eka rupayA ke 64 paise isa krama .se bAMTa diye ki pahile ko jitane paise diye usase dUsare ko eka pradhika diyA usa se tIsare ko eka adhika ityA0 to hara eka lar3ake ko kitane 2 paise diye se batAo / uttara, pahile ko 8 hai, dUsare ko 5 re ityAdi (11) ghar3I meM tIna banane ke uparAnta kitane miniTa para miniTa kI sUI ghaNTe kI sUI para ThIka lambarUpa hotI hai? uttara, tIna bana ke 32 miniTa para | 11 (18) jaba ghar3I meM cAra banane ke uparAnta dono sUI bhitra dizA meM eka rekhA meM hotI hai taba ThIka samaya kyA hogA ? uttara, 4 ghaNTe aura 54 11 miniTa / (19) jina saMkhyAoM kA yoga 10 aura jina ke vargoM kA antara 51. hai ve do saMkhyA kyA haiM? 1 uttara, 10 aura0 / For Private and Personal Use Only

Page #263
ekaghAtasamIkaraNasambandhi prazna / (20) eka upavana meM prAma, imalI aura kaitha ke per3a mila ke 1000 the usa meM Ama ke per3oM se imalI ke per3a 75 nyana the aura imalI ke per3oM se kaitha ke per3a 200 nyana the| to kaho usa meM Ama, imalI aura kaitha ke kitane 2 per3a the? uttara, Ama ke per3a 450, imalI ke 375, aura kaitha ke 175 / (21) a, ke pAsa 3 rana the usa ko 100 rupaye RNa thA aura ka, ke pAsa 2 rana the usa ko 1 rupayA zNa thaa| una donoM ne eka mola se saba rana beMca ke apanA 2 mRNa de ddaalaa| taba donoM ke pAsa samAna hi dravya bacA to hara eka rana kA mola kyA thA? . uttara, 9 rupye| _ (22) eka gAMva se a, manuSya pravAsa karane nikalA vaha eka ghaNTe meM 31 kosa calatA thA phira usa ke 5 ghaNTe pIche usI gAMva se ka, manuSya usI mArga meM calA vaha hara ghaNTe meM 4 cAra kosa calatA thA taba usa gAMva se kitane kosa para unakI bheMTa bhaI so kaho ? uttara, 140 kosa para / (23) jina do nagaroM kA antara 100 kosa hai una do nagaroM se aura ka ye do manuSya paraspara milane ke liye eka kAla meM cale so 10 ghaNTe meM mile taba jAnA gayA ki a, se ka, hara ghaNTe meM 2 do kosa adhika claa| taba a aura ka hara ghaNTe meM kitanA 2 calate the? uttara, a, 4 kosa aura ka.6 kosa / - (23) aneka se pUchA ki tuma ghar3I ke pAsa baiThe hai| kaho kyA bajA hai ka ne kahA dasa baja gayA hai| taba a ne kahA ki ThIka samaya kaho taba ka ne kahA ki ghaNTA meM Upara jo 12 kA cihna hai usa se pIche jitane antara para ghaNTe kI sUI hai usane hi antara para usa cihna ke Age mi For Private and Personal Use Only

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ekaghAtasamIkaraNAsambandhi prazna / niTa kI saI hai isa se ThIka samaya jAna leo| to batAo taba ThIka samaya kyA thA? uttara, dasa se Upara 2 miniTa / (25) ghar3I meM jaba 3 bajane ke pIche dono mUI eka meM mila jAtI haiM taba ThIka samaya kyA hogA? uttara, 5 ghaNTe 2063 miniTa / (26) kisI manuSya ne paise ke 3 isa bhAva se kucha sItAphala mola leke utane hi sItAphala paise ke 4 isa bhAva se aura mAla liye phira saba ve phala 2 paise ke 7 isa bhAva se beMca DAle taba eka paisA ghATA huA to usa ne kitane 2 sItAphala mola liye? uttara, 24 / (7) eka mahAjana ne 25 dina ke liye eka naukara rakhA usa se yaha ThaharAyA thA ki jisa dina vaha acchA kAma kare usa dina.5 Ane pAve aura jisa dina vaha acchA kAma na kare vA khele usa dina usa se ulaTA do Ane daNDa liyA jAve / anta ko jaba 25 dina pare hue taba usa mahAjana ne usa ko tIna rupaye diye / taba kaho usa ne kitane dina acchA kAma kiyA? ___ uttara, 14 dina / (28) a aura ka ye do manuSya pazuoM kA vyApAra karate the una meM ke pAsa 6 ghor3e, khaccara aura 8 baila the aura ka ke pAsa 5 ghoDe. 10 khaccara aura 12 baila the| ina meM eka baila-ke mola se eka khaccara kA mola dUnA thA aura eka ghor3e kA mola tigunA thaa| una donoM manuSyoM ne apane 2 maba pazu baiMca DAle taba usa meM ase ka ko 57 rupaye adhika mile / to una tIna jAta ke pazuoM meM hara eka paza kA mola kyA thA? For Private and Personal Use Only

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svaghAtasamIkaraNasambandhi praznA uttara, eka ghor3e kA mola 57 rupaye, khaccara kA 38 rUpaye aura baila kA 18 rupye| (29) eka strI kucha phala leke hATa meM becane gii| vahAM usane paise ke sAta 2 phala beMce taba do phala zeSa bce| phira dUsare dina vaha strI utane hi phala leke becane gaI / usa dina usane paise ke no ra phala bece saba eka phala bcaa| yoM usa ko do dina ke paise milake 25 mile| to vaha dono dina kitane 2 phala leke beMcane gaI so kaho / uttara, 100 phala / (30) eka bhitra saMkhyA kA mAna 1 hai usake aMza meM jo eka ghaTA deo to usakA mAna hogA to vaha bhitra saMkhyA kyA hai ? uttara, hai| (31) eka manuSya ne kisI sarApha me 13 rupaye kI kucha aThavI aura cavacI milake 38 liI / taba kaho usameM kitanI aThacI aura kitanI cavatrI thIM? ___ uttara, 14 aThacI aura 24 cvtrii| (32 eka mAlI apane bagIce meM se eka khaMciyA bhara Ama le ke hATa meM beMcane gyaa| vahAM usa ne paise ke sAta 2 Ama beMce taba khaMciyA meM 5 grAma zeSa bace / phira usa ne dUsare dina bhI utane hi Ama paise ke cha 2 beMce to 4 zeSa rahe / yoM tIsare dina utane hi Ama paise ke pAMca 2 baiMca to 3 grAma zeSa rahe aura cauthe dina utane hi grAma paise ke cAra 2 baiMce to khaMbiyA meM do Ama zeSa bce| yoM cAra dina ke becane meM usa mAlI ko saba 315 paise mile / to yaha mAlI nitya kitane mAma bacane ke liye ne jAtA thA ? utsara, 418 praam| For Private and Personal Use Only

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ekaghAsasamIkaraNasambandhi prazna / (23) eka manuSya ke pAsa 3500 rupaye dhama thA aura usako puSa pora kanyA milake 10 apatya the| usane apane anta samaya meM apane hara eka putra ko 5000 rupaye aura hara eka kanyA ko 500 rupaye yo saba dhana bAMTa ke mara gyaa| taba usako kitane putra aura kitanI kanyA thiiN| uttara, putra aura 3 kanyA / (34) eka taMbolI kI dUkAna meM eka paise ke 100 pAna, eka pese kI 25 supArI aura eka hi paise kI 5 lAyacI mola milatI thiiN| eka manuSya ne eka paisA usa taMbolI ko deke kahA mujha ko isa meM jitane pAna utanI hi supArI aura utanI hi lAyacI deo / taba vaha taMbolI isa bAta ko sunatehi kucha cakita sA hogayA / to batAo ki pAna, supArI, aura lAyacI inakI samAna saMkhyA kyA hogI? uttara, 4 / (35) ve pAsa kI do saMkhyA kIna haiM ki jina ke ghI kA antara 77 hotA hai? uttara, 38 aura 39 / (36) aaura ka ina do manuSyoM ko rupayoM kI eka zrelI milii| usa meM ane 10 rupaye aura zeSa kA caturthAMza liyA / taba jo usa thailI meM zeSa rahA usa meM se ka ne 20 rupaye liye aura no zeSa bacA usa kA caturthAMza liyaa| taba thailI meM 30 rupaye zeSa rhe| to pahile usa thailI meM kitane rupaye the aura aaura ka ne kitane 2 rupaye liye ? uttara' thailI meM 60 rupaye the aura hara eka ne 30 rupaye liye| (37) eka gaheriyA ke pAsa kucha bher3I thiiN| eka cora una bher3iyoM meM se eka bher3o aura zeSa bher3ioM kA tIsarA bhAga itanI bher3I le gyaa| saba jo usa gar3eriyA ke pAsa bher3iI bacI una meM se rasI bhAMti aura tIna bAra le gayA / yoM bAra bAra meM usa cora ne bher3I curA li| For Private and Personal Use Only

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maamr'miikhi hn / to usa gar3ariye ke pAsa pahile kitanI bher3I ghoM aura anta meM kitanI baca rahI so kho| ___ uttara, padile 76 bher3I thI aura anta meM 14 bher3I bcii| (38) eka baniye ne rupayA ke 30 sera ke bhAva se 20 rupayoM ke cane aura 25 ke bhAva se 64 rupayoM ke cane mola liye aura 20 ke bhAva se bhI aura kucha cane mola liye aura ye tInoM prakAra ke cane ikaThe kara ke saba 23 sera ke bhAva se baiMca DAle to usa meM usa ko 5 rupaye lAbha huaa| to usa ne 20 sera ke bhAva ke cane kitane rUpayoM ke mAna liye so kaho? uttara, 51 rupayoM ke| . ... (39) a aura ka ina dI manuSyoM ke pAsa kucha ra sattu mila ke 11 pAva thA / ve donoM eka kaMdhe para jAke khAne ke liye baitthe| vahAM eka . tIsarA ga manuSya AyA / taba usa 11 pAva sattu ke samAna tIna bhAga kara ke tInoM ne eka 2 bhAga khA liyaa| anta meM ga ne aaura ka ina donoM ko mila ke 11 paise diye aura calA gyaa| usa meM se ginatI lagA ke ane 7 paise liye aura kane 4 liye / to pahile aaura ka ke pAsa kitanA 2 sattu thA? uttara, a ke pAsa 6 pAva aura ka ke pAsa 5 pAva sattu thaa| (40) eka manuSya kisI dina prAtaH kAla meM apanI ghar3I ke 5 baje ghara se cala ke apane mitra ke yahAM gayA taba mitra kI ghar3I meM sAr3he 'pAMca bajA thaa| vahAM vaha 5 ghaMTe beTha ke jisa gati se prAtaH kAla meM calA thA usI gati se aura usI mArga se apane ghara calA AyA.taba usa kI ghara kI ghar3I meM sAr3he gyAraha bajA thA / aba jo usa manuSya kI aura usa ke mitra kI ghar3I kI gati ekarUpa aura samAna ho to. For Private and Personal Use Only

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ekaghAsasamIkaraNasambandhi prazna / 25 // una donoM ghar3ioM ke kAla meM kitanA antara thA aura usa manuSya ko mArga meM jAne vA Ane meM kitanA kAla lagA so kaho ? . uttara, donoM ghar3ioM ke kAla meM 15 miniTa kA antara thA aura mArga meM jAne vA Ane meM 45 miniTa kAla lgaa| . (42) 320 isa saMkhyA ke aise cAra bhAga karo ki jo pahile meM do milA deo, dUsare meM 3 ghaTA deo, tIsare ko 4 se guNa deo aura cauthe meM 5 kA bhAga de to cAro phala samAna ho? ___ uttara, 42, 47, 11 aura 220 / (42) eka juArI kucha rupaye leke juA khelane baiThA / vaha pahilI bAra apane dravya kA aura eka rupayA kA hai jItA phira dUsarI bAra jo usa ke pAsa dravya huA thA usa kAI aura eka rupayA kA jItA aura tisarI bAra phira usa ke pAsa jitanA dravya huA thA usa kA aura eka rupayA kA jiitaa| taba usa ke pAsa pahile jitanA dravya thA usa se tigunA huA / to kaho vaha pahile kitane rupaye le ke khelane baiThA thA ? uttara, 3 rupye| (43) eka bAbU ne apanI senA vargAkAra khar3I kiI taba 100 manuSya baca rahe / taba usa ne varga ke anusAra hi eka 2 paMkti meM eka 2 manuSya baThA diyA taba varga kA AkAra pUrA hone meM 41 manuSya aura cAhiye the| to kaho usa bAbU kI senA kitanI thI ? ' - uttara, 5000 manuSya / / / . (88) eka manuSya kA bApa mara gayA taba usa ko jitanA dhana milA usa meM se usa ne 1000 rupaye ghara ke kAma ke liye alaga rakha ke bacA huA dravya eka barasa meM vyApAra se dUnA kiyA taba usa meM se 1000 ru. paye phira ghara ke kAma ke liye alaga rakha ke bacA huA dravya dUsare For Private and Personal Use Only

Page #269
212 ekaghAta samIkaraNa sambandhi prazna | barasa meM bhI vyApAra se dUnA kiyaa| yoM usa ne pAMca barasa taka vyApAra kiyA anta meM usa ke pAsa saba dravya pahile se saptaguNa arthAt sAta gunA huaa| taba usa manuSya ko bApa se kitanA dhana milA seo kaho ? uttara, 2480 rupaye | ' (45) do aGko kI aisI eka saMkhyA hai ki usa ke eka sthAna ke pa se daza sthAna kA aGka dUnA hai aura jo usa saMkhyA meM 20 ghaTA dete| to zeSa saMkhyA meM unhI do aGkA kI sthiti palaTa ke rahatI hai vaha saMkhyA kyA hai ? uttara, 63 / (46) eka baniye ne eka rupaye ke 16 sera ke bhAva se kucha cAvalaaura kucha cAvala 13 sera ke bhAva se mila ke 30 rupaye kA mola liye / aura ve donoM prakAra ke cAvala ikaTThe kara ke usa ne saba 14 sera ke bhAva se beMca DAle taba usa meM usa ko kucha lAbha nahIM huaa| para kucha ghATA bhI nahIM huaa| to usa ne donoM prakAra ke cAvala kitane 2. rupaye ke mola liye sA kaho ? uttara, 13 sera ke bhAva ke 10 rupaye ke aura 13 sera ke bhAva ke 20 rupaye ke / (89) maGgA jI meM eka bar3I nAva meM nIce 410 sera pAnI yA gayA yA usa ko aura ka ye do manuSya eka 2 pAtra le ke bAhara pheMkane lage / usa meM a ke pAtra se ka ke pAtra meM dUnA pAnI samAtA thA / aura manuSya 5 pala meM 3 bAra pAnI bAhara pheMkatA thA aura ka manuSya 7 pala meM 2 bAra pheMkatA thA / ima prakAra se una donoM manuSyoM ne eka ghar3I aura 10 pala meM saba pAnI bAhara pheMka diyaa| to hara eka manuSya ke pAtra meM kitanA 2 pAnI samAtA thA ? uttara, a ke pAtra meM 5 sera pAnI aura ke ke pAtra meM 10 sare / For Private and Personal Use Only

Page #270
aagaamiikssaa mn| (4) 168 rama saMkhyA ke pAMca vibhAga aise karo ki pahile vibhAga kI 6 se muNa ke phala meM 5 jor3a degA, dUsare ko se guNa ke 4 joDa dekho, tIsare ko 4 se guNa ke bADa dekho, vA so 3 me guNa ke 2 nAha deo aura pAMca ko do se guNa ke 1 joDa deo to saba yogA paraspara samAna ho| to ye vibhAga kyA haiM so kaho? uttara, 19, 22, 29, 36 aura 59.ye krama se vibhAga haiN| ___(BC) eka barasa meM so rupayoM ko 5 rupaye vyAja ke bhAva se kisI manuSya ne kucha saNa liyA / sADhe tIna barasa meM usa kA vyAna paNa chaThaveM aMza se 10 rupaye adhika humaa| to usa manuSya ne kitane rupaye asA liyA thA so kaho? uttara, 1200 rupye| (50) eka mahAmana ne 1 barasa meM so rupayoM ko 5 rupaye vyAja ke bhASa me kisI manuSya ko kucha rupaye zuNa diyaa| usa manuSya ne cauthe barasa ke anta meM usa mahAjana ke saba rupaye vyAja sameta cukA diye / parantu jo vaha mahAjana anta meM saba vyAja cakra vRddhi se letA to usa ko 155 rupaye aura 1 AnA itanA vyAja adhika milatA / to usa manuSya ne usa mahAjana se kitane rupaye rakha liyA thA so kaho? uttara, 10000 rupye| (51) jina do saMkhyAoM meM pahilI kA aura dUsarI kA ina kA yoga 16 hotA hai aura pahilI ke meM jo dUsarI kA ghaTA deo to do zeSa rahatA hai ve saMkhyA kyA haiM? utsara, 30 ra 24 / / (52) aneka ke pAsa jitane rupaye the utane aura usa ko diye sabaka ne pa ke pAsa jitane zeSa bace the usane usa ko phera diye For Private and Personal Use Only

Page #271
254 ekaghAtasamIkaraNasambandhi prazna / aisA dena lena tIna bAra bhayA / taba donoM ke pAsa cAMsaTa 2 rupaye bhaye / to pahile hara eka ke pAsa kitane 2 rupaye the? uttara, a, ke pAsa 85 pAra ka, ke pAsa 43 rupye| (53) eka talAva meM kucha kamala the usa para baiThane ke liye eka bhramaroM kA samUha pAyA / Ate hi pahile ekara kamala para eka ra bhramara baiThA / taba eka bhramara zeSa bcaa| phira saba ur3e aura eka 2 kamala para dora baiThe taba eka kamala zeSa rhaa| to usa talAva meM kamala kitane the aura ve bhramara kitane the? uttara, kamala 3 aura bhramara 4 / (54) a, ke pAsa 11 motI eka mola ke the aura ka, ke pAsa hIre eka mola ke the aura phira jaba una meM bahuta paraspara veha bhayA taba a, ne 4 motI ka, ko diye aura ka, ne tIna hIre a, ko, diye aura saba motI aura hIre unhoM ne beca DAle / taba hara eka ko 230 rupaye mile / taba hara eka motI kA aura hIre kA kyA mola hai so kho| - uttara, motI kA mola 20 rupaye aura hIre kA 30 rupye| (55) amanuSya jo kAma 24 dina meM karatA hai so hi kAma ka manuSya 40 dina meM karatA hai to vahI kAma a aura ka mila ke kitane dina meM kareMge? uttara, 15 dina meN| (E) a aura ka ye do manuSya mila ke jo kAma 20 dina meM karate haiM vahI kAma akelA a 36 dina meM karatA hai to vaha kAma akelA ka kitane dina meM karegA ? uttara, 45 dina meN| For Private and Personal Use Only

Page #272
ekaghAtasamIkaraNasambandhi prshn'| 255 ... (57) jisa bhitra saMkhyA ke aMza aura cheda ina donoM meM 1 jor3a denA to usa kA mAna hotA hai aura una donoM meM 1 ghaTA de to usakA mAna hotA hai| vaha bhitra saMkhyA kyA hai? ___ uttara, (58) eka manuSya ne 12 rupaye kI kucha cAtrI aura duatrI kara liI una meM cavannI aura duatrI kI saMkhyA samAna thI to usane kitane rupaye kI cavacI aura kitane kI duacI kiI so kho|| uttara, 8 rUpaye kI cavacI aura 4 rUpaye kI duatrii| (59) a aura ka do manuSyoM ke pAsa kucha rupaye the| unameM aneka se kahA ki mere pAsa jo aura 25 rupaye hote to mere pAsa tere rUpayoM se dUne rupaye hote / taba ka ne kahA ki mere pAsa jo aura 20 hi rupaye hote to mere pAsa tere se tigunA dhana hotA to hara eka ke pAsa ki.. tane 2 rUpaye the? uttara, ake pAsa 13 aura ka ke pAsa 19 rupye| (60) a, ne ka, se kahA ki jo tuma hama ko 1 rupayA de to hamAre pAsa tuma se dUne rupaye ho jAeMge aura jo do rupaye de to tigune ho jaaeNge| to hara eka ke pAsa kitane 2 rupaye the? uttara, a, ke pAsa 7 aura ka, ke pAsa 5 rupye| (61) eka puruSa aura usa kI strI do mila ke eka bartana bhara ghI 10 dina meM khAte the| eka bera aisA huA ki una donoM ne cAra dina usa meM se ghI sAtha khAyA phira vaha puruSa kahIM bAhara calA gayA taba pIche bacA huA ghI amelI strI ne 21 dina meM khAyA taba akelA puruSa kitane dina meM saba ghI khA sakegA aura akelI strI kitane dina meM khA sakegI? . uttara, * puruSa 14 dina meM aura strI 35 dina meM / For Private and Personal Use Only

Page #273
ekAghAtasammIvAra sambandhi manaH / (62) hara eka puruSa ko do paise, strI ko Der3ha paisA aura lar3ake ko dhelA isa niyama se kisI dastA ne 2 daridroM kA 20 paise bAMTa diye una daridroM meM puruSoM me lar3ake 7 adhika the| to batAo una meM puruSa, strI aura lar3ake kitane 2 the / uttara, 6 puruSa, 1 strI aura 13 lar3ake / (es) ko puruSa usa ko strI aura putra ina tInoM ke vaya keva kI saMkhyAoM kA yoga 65 hai usa meM puruSa aura strI ina ke vayoM ke antara ke tulya putra kA vaya thA aura 8 barasa pahile strI kA vaya putra ke vaya se sAta gunA thA / taba una tInoM kA vaya kitanA 2 thA ? puruSa kA vaya 32 varSa strI kA 25 cora putra kA 2 / uttara, (64) jisa bhitra saMkhyA ke aMza meM 1 ghaTA deo aura chetra meM 1 jor3a de to usa kA mAna hotA hai / aura usa ke aMza aura keda ke antara ke tulya eka nayA aMza aura yoga ke tulya eka nayA chetra mAno to usa naI bhinna saMkhyA kA mAna hotA hai taba vaha pUrva bhitra saMkhyA kyA hai ? 9 uttara, (65) jina do saMkhyAoM meM pahilI meM 1 ghaTAo aura dUsarI meM 3 jor3a deo ina do phaloM kA guNanaphala aura pahinI meM 1 jor3a deza aura dUsarI meM do ghaTA deo ina do phaloM kA guNanaphala pratyeka unhIM do saMkhyAoM ke guNanaphala ke samAna hotA hai / ve do saMkhyA ' kauna haiM ? uttara, 5 aura 12 / (6) kisI gRhastha ke ghara para chorI huii| usI samaya usane thor3e kAla taka dUdhara udhara khonA para kucha milA nahIM taba usa ke mana meM AAyA ki eka ghaNTA bhara pahile to manuSya yahAM se gayA vahI cora hai For Private and Personal Use Only

Page #274
samIkaraNasambandhi prazna / aa art jisa mArga meM apanI ekarUpa gati se AtA thA usI mArga para vaha rahasya bhI usa kSetra ko pakar3ane ke liye cAnI ekarUpa gati calA / yaha pahile do ghaNTe taka isI apanI cAla se calA aura tatra yaha jAnA ki cAra mere se hara ghaNTe meM 5 hai kosa adhika calatA hai / isa liye usa ne turaMta apanI gati ko dUnA kiyA aura jaba vaha ghara se calA usa kAla se 5 ghaNTe meM cora ko pkdd'aa| to cora eka ghaNTe maiM kitanA calatA thA aura vaha gRhasya Arambha meM eka ghaNTe meM kitanA calatA thA aura usa ne apane ghara se kitane antara para cora ko pakar3A so kaho ? Acharya Shri Kailassagarsuri Gyanmandir uttara, cora hara ghaNTe meM 8 3 kosa calatA thA, gRhasya pahile ra ghaNTe meM 2 kosa calatA thA, aura apane ghara se 29kosa para cora ko pakar3A / 4 (60) aura ka ina do manuSyoM ko eka mahAjana kA kucha 2 RNa thA / cA ne mahAjana ko kucha rupaye deke apanA kRpa dUra kiyA aura isI bhAMti ka ne apanA RNa dUra kiyA / taba ko jivanA RNa zeSa bacA usa se ka ko tiguna RNa bacA / jo ina ko aura tIna 2 sau rupaye adhika RNa hyetA aura ve isI bhAMti RNa dUra karate to ke zeSa RNa se ka kA zeSa RNa dUnA hotA to aura ka ko kitanA ra RNa thA ? a uttara, ko 375 rupaye aura ka ko 1500 rupaye pa / (68) kisI mahAjana ke pAsa kucha go ghara para thIM aura kucha gAMva para thIM / una meM hara mahIne meM ghara kI eka 2 gau ko pAMca 2 rupayA aura gAMva phrI eka 2 ko do 2 rupayA lagatA thA / isa se mAMtra kI saba gaudhoM ke liye jitanA dravya lagatA thA usa ke dUne se eka rupayA adhika itanA ghara kI saba gA~voM ke liye lagatA thA / taba usa mahAjana ne ghara 18 For Private and Personal Use Only

Page #275
25 ekaghAtasamIkaraNasambandhi prazna / kI go gAMva para bhena diI basa se ghara kI aura gAMva kI gAyoM ke liye samAna hi dravya lagane lagA / taba pahile usa mahAjana kI kitanI go ghara para thIM aura kitanI gAMva para thI ? - uttara, ghara para 25 gA aura gAMva para 31 / (69) do aDDoM kI eka aisI saMkhyA hai ki jo usa meM una do aDDoM ke yoga kA bhAga deo to bhajanaphala 4 AtA hai aura usa saMkhyA meM jo usI kA AdhA jor3a deo to yoga una do aDDoM ke yoga ke varga ke samAna hotA hai| to yaha saMkhyA kyA hai? ___ uttara, 24 / (70) tIna saMkhyA aisI haiM ki jo una meM pahilI aura dUsarI meM eka 2 jor3a deo to pahile yoga se dasarA yoga dUnA hogA, jo pahilI meM aura tIsarI meM noDa deo to pahile yoga se dUsarA yoga tigunA hogA aura jo dasarI meM aura tIsarI meM 1 joDa deo to pahile yoga se dUsarA yoga caugunA hogA / to ghe tIna saMkhyA kyA haiM so kaho? uttara, 1, 3 aura 15 / (71) do aDDoM kI eka saMkhyA aisI hai kI usa meM jo 8 kA bhAga deo to labdhi una do aDDoM ke yoga ke Adhe ke samAna pAtI hai aura usa saMkhyA ke daza sthAna ke aGka ke samAna zeSa rahatA hai / aura usa saMkhyA ke aDDoM ko palaTa dene se jo saMkhyA banegI usa meM no kA bhAga deo to bhajanaphala 6 AvegA aura pUrva saMkhyA ke eka sthAna ke aDa ke samAna zeSa bcegaa| to vaha saMkhyA kyA hai? . uttara, 35 / (72) a, ka, ga aura gha ina cAra manuSyoM ne sAyaMkAla ke samaya gAMva ke bAhara eka kheta meM kucha gar3A huA dhana dekhA aura Apasa meM ThaharAyA ki kala prAtaHkAla prAke yaha saba dhana bAMTa leNge| paraMtu usa rAta ke For Private and Personal Use Only

Page #276
exarashtatuembandhi prazna / pahile hi prahara meM manuSya kheta meM jAke usa ne usa saba dhana ke cAra samAna vibhAga kiye to zeSa kucha nahIM rahA taba usa ne usa meM se eka vibhAga leke tIna vibhAga vahAM rakha diye / phira dUsare prahara meM ka manuSya vahAM gayA usa ne zeSa dhana ke samAna cAra vibhAga kiye tozeSa 1 azarphI bcii| taba ka ne vaha 1 azarphI aura eka vibhAga leke zeSa dhana vahAM rakha diyaa| phira tIsare aura cauthe prahara meM krama se ga aura gha manuSya vahAM gaye / danoM ne bhI isI prakAra se usa meM se dhana liyA usa meM ga ke vibhAga karane meM do azarphI aura gha ke vibhAga karane meM tIna azarphI baccoM / phira dUsare dina prAtaHkAla cAro jane mila ke gaye / unhoM ne usa zeSa dhana ke samAna cAra vibhAga kiye to zeSa kucha nahIM rahA / taba vaha eka 2 vibhAga cAroM ne liyA aura saba apane 2 ghara 258 " cale gaye / taba aisA jAnA gayA ki ka aura ga ko jitanI azarphI miloM una ke yoga se a aura gha ke azarphiyoM kA yoga 56 adhika thA / to saba dhana meM kitanI azarphI thIM aura hara eka manuSya ne kitanI 2 azarphI pAIM se kaho ? uttara saba dhana meM 2060 azarphI thIM aura usa meM se cane 600, ka ne 549, ga ne 453 aura gha ne 381 azarphI paaiiN| (73) pAMca manuSyoM ne kucha dhana Apasa meM isa prakAra se bAMTa liyA ki pahile manuSya ne saba dhana kA cauthA bhAga aura 243 rupaye liye | phira dUsare ne jo zeSa dhana bacA usa kA cauthA bhAga aura 243 rupaye liye / phira jo zeSa dhana rahA se bhI krama se aura tIna manuSyoM ne isI prakAra se bAMTa liyaa| taba anta meM zeSa kucha nahIM rahA / to batAo vaha saba dhana kitanA thA aura hara eka manuSya ne kitane 2 rupaye liye ? For Private and Personal Use Only Yao Cai uttara, * saba dhana 3124 rupaye thA aura hara eka manuSya ne se 1024, 068, 506, 432 aura 324 rupaye liye /

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ekaghAtasamIkaraNa sambandhi prazna 1 (98) eka baniye ne kitane eka rupayoM ke mohUM 19 sera ke bhAva ke, kucha rupayoM ke 16 sera ke bhAva ke aura 33 rupayoM ke 14 sera ke bhAva ke mola liye aura ye tInoM prakAra ke gohUM ikaTThe karake saba 15 sera ke bhAva se beMca DAle taba usa meM usa ko 10 rupaye lAbha huA / paraMtu ina meM jo pahile do prakAra ke gohUM aura cha2 rupayoM ke mola leke milA detA aura saba 12 sera ke bhAva se beMcatA to usa ko 15 rupaye lAbha hotA to usa ne pahile do prakAra ke gohUM kitane 2 rupayoM ke mola liye so kaho ? uttara, pahile prakAra ke gohUM 35 rupayoM ke aura dUsare prakAra ke 43 rupayoM ke / 1 (15) eka gAr3I meM cAra cakra the / una meM Age ke samAna do ca choTe the aura pIche ke samAna do cakra bar3e the| usa gAr3I ke 360 hAtha bhUmi calane meM jitanI bAra bar3A cakra ghUmatA thA usa se choTA cakra bAra adhika ghUmatA thA / paraMtu bar3e cakra kA paridhi jo usa ke ke itanA aura bar3A hotA aura choTe cakra kA paridhi usa ke de ke itanA aura bar3A hotA to utanI hi bhUmi meM jitanI bAra bar3A cakra ghUmatA usa se choTA cakra 10 bAra adhika ghUmatA / to hara eka cakra kA paridhi kitane hAtha thA so kaho ? uttara, bar3A paridhi 10 hAtha aura choTA hAtha / (76) eka kuNDa a, ka aura ga ye tIna bharane the| usa meM kevala jharanA khulA rakhane se vaha kuNDa 3 ghaNTe meM bhara jAtA thA aura ka khola dene se 4 ghaNTe meM bhara jAtA thA aura ga khola dene se pUrA kuNDa do ghaNTe meM khAlI ho jAtA thA to a, ka aura ga ina tInoM ko eka bera khola dene se vaha kuNDa kitane ghaNTe meM bhara jAyegA ? uttara, 12 ghaNTe meM | For Private and Personal Use Only

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ekaghAta samIkaraNa sambandhi prazna (17) 20 aura 23 ina do saMkhyAoM ke do 2 vibhAga aise karo ki una donoM saMkhyAoM ke pahile vibhAgoM kA yoga: 27 hove aura dUsare vibhAgoM kA antara 17 hove / Acharya Shri Kailassagarsuri Gyanmandir uttara, 27 ke krama se vibhAga 8, 21 aura 23 ke 16, 4 athavA 28 ke vibhAga 25, 4 aura 23 ke 2, 21 / (8) eka manuSya meM apane maraNasamaya meM apanA saba dhana apane putra ko bAMTa diyA so isa prakAra se ki usa kA jitanA dhana thA usa meM se bar3e putra ko 1200 rupaye aura zeSa dhana kA haiM (arthAta nauvAM aMza) diyA / fira jo zeSa dhana baccA usa meM se dUsare putra ko 1800 rUpaye aura zeSa dhana diyaa| yoM hI Age bhI zeSa dhana meM se hara eka putra ko usa kI pahile se 60 rupaye adhika aura zeSa dhana kA diyA / taba anta meM satra putroM ko samAna dhana milaa| to usa manuSya kA saba dhana kitanA thA aura usa ko kitane putra the so kaho ? kA uttara, saba dhana 33600 rupaye thA aura 9 putra the / 456 (SC) tIna caGkA kI eka saMkhyA aisI hai ki usa meM jo una tInoM aGkoM ke yoga kA bhAga denA to bhajanaphala 30 AtA hai aura 6 zeSa rahatA hai aura usa saMkhyA meM jo usa kA AdhA jor3a ke 30 ghaTA deo to zeSa meM usa saMkhyA ke eka sthAna aura zata sthAna ke zraGkoM ko sthiti palaTa jAtI hai aura jo usa saMkhyA meM jor3a deo to yoga meM usa saMkhyA ke eka sthAna aura daza sthAna ke zraGkoM kI sthiti palaTatI hai to vaha saMkhyA kyA hai ? uttapa (80) do aGkoM kI eka aisI zraMkhyA hai ki usa meM jor3a ke neza yoga meM una do aGkoM ke yoga kA bhAga deo to bhajanaphala 3 AtA hai / paraMtu una do aGkoM kI sthiti ko palaTa dene se jo saMkhyA banegI For Private and Personal Use Only

Page #279
262 ekaghAtasamIkaraNasambandhi prazna / / una meM 7 jor3a ke no yoga meM una do aDDoM ke yoga kA bhAga dekho to labdhi pAtI hai| vaha saMkhyA kyA hai? __ uttara, 37 / (81) eka manuSya ko pAMca putra the| usa ne apane maraNa samaya meM apanA saba dhana una pAMcoM putroM ko isa prakAra se bAMTa diyaa| upa ke jitane saba rupaye the una ke samAna pAMca bhAga kiye taba eka rupayA zeSa bcaa| vaha eka rupayA aura eka bhAga ke rupaye saba bar3e lar3ake ko diye taba jo zeSa bacA usa ke bhI samAna 5 bhAga kiye taba bhI ekahi rupayA zeSa bcaa| vaha eka rupayA aura vaha pAMcavA bhAga yaha dUsare lar3ake ko diyA aura isI prakAra se aura tIna lar3akoM ko bhI dhana diyA / taba anta meM jo zeSa dhana bacA usa ke bhI samAna 5 bhAga kiye taba zeSa kucha nahIM rahA taba usa ne ve pAMcoM samAna bhAga pAMcoM lar3akoM ko de diye / usa meM saba se bar3e lar3ake ko saba se choTe lar3ake kI apekSA se 366 rupaye adhika mile| taba usa manuSya ke kitane rupaye the aura hara eka lar3ake ko kitane 2 rUpaye mile so kho| uttara, usa manuSya kA saba dhana 3121 rupaye aura pAMco lar3akoM . kokrama se 829, 704, 604, 524 aura 460 itane rupaye mile| (2) aaura ka ye do manuSya alaga alaga 5000 rupaye leke vyApAra karane lge| kucha dina meM ako usa vyApAra meM lAbha huA aura ka ko ghATA huaa| taba ake pAsa ka ke bace hue dhana se dUnA dhana ho gyaa| paraMtu ka ko jitanA ghATA humA itanA no ako lAbha hotA aura ako jitanA lAbha huA itanA ka ko ghATA hotA to ake pAsa ka ke bace dravya se tigunA dravya ho jAtA / to ako kitane rUpaye lAbha huA aura ka ko kitane rupaye ghATA huA so kho| .. utsara, ako 3000 rUpaye lAbha huA aura ka ko 1000 rupaye ghATA sudhAra --11T For Private and Personal Use Only

Page #280
ekaghAta samIkaraNasambandhi prazna / 263 (63) eka nadI ke taura para aura ka ye do gAMva parasyara 12 kosa ke antara para the / usa meM usa nadI kA jala a gAMva se ka gAMva kI aura vega se bahatA thaa| eka DoMgI gAMva se ka gAMva kI ora nadI ke bIca dhArA meM calAI vaha do ghaNTe meM ka gAMva meM phuNcii| usa kA phira gAMva meM le AAnA thA aura nadI ke bIca dhArA meM jala kA vega 1 vega thA / bahuta thA paraMtu tIra ke pAsa usa vega kA isa liye hoMgI kA tIra ke pAsa hoke calAyA taba vaha 3 ghaNTe meM gAMva meM pahuMcI to 1 ghaNTe meM pAnI kI aura DoMgI kI gati kitanI 2 thI / 1 ghaNTe meM pAnI kI gati 13 kosa aura DoMgI kI 4 3 ko 3 uttara, (8) a, ka aura ga ina tInoM ke mila ke 10000 rupaye the usa meM zra aura ke ina ke rupaye mila ke ka se 1842 adhika the aura ka aura ga ina ke rupaye mila ke se 2916 adhika the taba hara eka ke kitane 2 rupaye the ? uttara, ke 3542, ka ke 2309 aura ga ke 4079 / (85) eka bartana 6 sera dUdha aura 4 sera pAnI ikaTThA milA ke usa meM bharA huA thA aura dUsarA bartana 3 sera dUdha aura 5 sera pAnI milA ke usa se bharA huA thA / aba ina donoM bartanoM meM se kucha kucha mizra padArtha le ke eka tIsarA sera kA bartana bhara denA hai aisA ki jisa AdhA dUdha aura AdhA pAnI hove to hara eka pAtra meM se kitanA 2 mizra padArtha liyA cAhiye so kaho ? uttara, pahile meM se 5 sera aura dUsare meM se 4 sera | (EE) eka baniye ne kitane eka rupayoM ke cAvala 15 sera ke bhAva se mola liye aura kitane eka rupayoM ke 11 sera ke bhAva se liye / aura ve donoM prakAra ke cAvala ikaTThe kara ke 12 sera ke bhAva se beMca For Private and Personal Use Only

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rAmaghAtasamIkaraNasambandhi prazna / . ddaale| taba usa ko usa meM 100 rupaye lAbha huaa| paraMtu usa ne jitane rupayoM ke cAvala 15 sera ke bhAva se mola liye utane rUpayoM ke no 11 sera ke bhAva se mola letA aura 11 ke bhAva ke mola lene meM jitane rupaye lage una rUpayoM ke 15 ke bhAva ke mola letA aura phira una ko milA ke pahile ke nAI beMca DAlatA to usa meM usa ko 110 rupaye lAbha hotaa| to usa ne kitane 2 rupayoM ke donoM prakAra ke cAvala mola liye uttara, 615 rupayoM ke cAvala 15 sera ke bhAva se mola liye aura 645 rupayoM ke cAvala 11 sera ke bhAva se liye| (87) eka manuSya ke pAsa tIna thailI samAna rUpayoM se bharI huI thI vaha tInoM thailI le ke bAjAra meM gyaa| vahAM eka javaharI kI dukAna para nAke apanI eka thailI meM se 5 rupaye nikAla liye taba thailI meM jitane rupaye bace utane usa javaharI ko de ke usa se do hIre mola liye| isI prakAra se apanI dUsarI thailI meM se 15 rupaye le ke zeSa rupaye usa javaharI ko diye aura 24 mAnika mAla liye aura yoM hI tIsarI thailI meM se 25 rupaye le ke zeSa rUpaye javaharI ko diye aura usa se 55 mAtI mola liye| usa meM eka hIrA, eka mAnika aura kamotI ina tInoM kA mola mila ke 2 rupaye thaa| to eka 2 ratra kA alaga 2 kitanA mAla thA aura hara eka thailI meM kitane rUpaye the so kaho? uttara, eka hIre kA mola 75 rupaye, mAnika kA 5 rupaye aura motI kA 2 rupaye aura hara eka thailI meM 135 rUpaye the| (ES) kisI mahAjana ne 7000 rupayoM ke do vibhAga kara ke alaga 2 bhAva se raNa diye usa meM bar3e vibhAga meM eka barasa meM sau rupayoM kA jitanA dhyAja thA usa se choTe vibhAga meM 3 rupaye adhika thaa| pIche kucha kAla meM bar3e vibhAga meM sau ko eka rupayA dhyAna bahA diyA For Private and Personal Use Only

Page #282
emaghAtasamIkaraNasambandhi prazna / aura choTe meM so ko utanA hI ghaTA diyA / isa se saba rupayoM kA vyAja usa ke ke itanA bar3ha gyaa| parantu jo bar3e vibhAga meM dhyAna kA bhAva jyoM kA tyoM rakha ke choTe vibhAga meM sau kA vyAja do rupaye ghaTAyA jAtA to eka barasa meM saba rupayoM ke vyAja ke se 50 rupaye adhika vyAja praataa| to mala dhana ke do vibhAga kitane 2 the aura hara maka vibhAga meM so ko kisAnA vyAja thA so kaho? uttara, bar3A vibhAga 4000 rupaye aura choTA 3000 rupaye aura bar3e meM eka barasa meM sau ko 5 rupaye vyAja aura choTe meM rupye| (8) eka pArAma (arthAta bagIcA) Ayata kSetra ke AkAra kA thA usa meM eka kone meM usI prakAra kA eka talAva aisA thA ki usa kA karNasUtra ArAma ke karNasUtra hI meM thA aura usa kI parimiti (arthAta cAroM bhujoM kA yoga) ArAma kI parimiti se 420 hAtha nyana thI aura usa kA kSetraphala pArAma ke kSetraphala kA hai arthAta poDazAMza thaa| no usa ArAma kI lambAI 4 hAtha aura adhika hotI aura cauDAI 3.hAtha adhika hotI to usa ArAma kA kSetraphala 2 varga hAtha baDha jaataa| to usa pArAma kI parimiti kitanI thI aura usa kI lambAI aura cauDAI kitanI 2 thI? uttara, ArAma kI parimiti 560 hAtha, lambAI 160 hAtha aura caur3AI 120 hAtha / (90) eka mahAjana ne 3037 rupayoM ke viSama tIna vibhAga kara ke tIna manuSyoM ko maNa diye| usa meM eka barasa meM sau rUpayoM ko 4 rUpaye vyAja ke bhAva se pahile manuSya ko diye, 5 rupaye vyAja ke bhAva se dUsare ko aura 6 rupaye dhyAja ke bhAva se tIsare ko diye| una tIno manuSyoM ne aDhAI barasa meM apanA ra vyAja sameta RNa samAma hi le For Private and Personal Use Only

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266 ekaghAta samIkaraNa sambandhi prazna / -Ake mahAjana ko de diyA usa se tInoM RNamukta hue| to usa mahAjana ne hara eka manuSya ko kitanA 2 RNa diyA thA so kaho ? pahile manuSya ko 1035 rupaye, dUsare ko 1012 rupaye aura tIsare ko 990 rupaye RNa diyA thA / uttara, Acharya Shri Kailassagarsuri Gyanmandir (91) a, ka aura ga ina tIna baniyoM ke pAsa kucha 2 rupaye the / usa meM ne apane rupayoM ke 12 mera ke bhAva se cane mola leke 10 sera ke bhAva se beMca DAle / yoM ka ne apane rupayoM kI 10 sera ke bhAva se dAla le ke 8 sera ke bhAva se beMca DAlI aura ga ne apane rupayoM ke sera ke bhAva se cAvala le ke 6 sera ke bhAva se beMca DAle / taba a, ka aura ga ina tInoM ko mila ke 21 rupaye lAbha huaa| jo ve tInoM pahile apane saba rupaye ikaTThe kara ke una saba ke 9 sera ke bhAva se gohUM mAla le ke 9 sera ke bhAva se beMca DAlate to tInoM ko mila ke 24 rupaye lAbha hotA / paraMtu pahile vyApAra se isa vyApAra meM ka ko jitanA adhika dhana milatA utanA hi ga ko ghATA hotA / to hara eka baniye ke pAsa pahile kitane 2 rupaye the ? uttara, paise the / uttara, ke pAsa 35, ka ke 26 aura ga ke 21 rupaye the / (92) kisI dAtA ke dvAra para kucha puruSa, strI aura lar3ake bhIkha. mAMgane ke liye khar3e the / una meM puruSoM se strI 4 adhika thIM aura striyoM se lar3ake 6 adhika the / taba vaha dAtA ghara meM se samAna paisoM se bharI huI tIna thailI bAhara le AyA / una meM eka thailI ke paise saba puruSoM ko samAna bAMTa diye, dUsarI ke saba striyoM ko aura tIsarI ke saba lar3akoM ko / taba jAnA gayA ki hara eka lar3ake ko jitane 2 paise mile una se hara eka strI ko eka eka paisA adhika milA aura hara eka puruSa kA do do paise adhika mile| to una yAcakoM meM puruSa, strI aura lar3ake kitane 2 the aura pratyeka thailI meM kitane paise the ? 4 20 puruSa, 24 strI aura 30 lar3ake aura pratyeka thailI meM 130 For Private and Personal Use Only

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ekaaremIkaraNasambandhi prazna / 789 pahile (93) ko manuSya eka dina apane gAMva se dUsare gAMva calA / vaha kucha kosa taka apanI sAdhAraNa gati se calA jaba usa ne jAnA ki jisa gAMva para jAnA hai vaha yahAM se kosa dUra hai taba usane apane calane kA vega 1 ghar3I meM eka kosa adhika jAne kA kiyA / paraMtu jo vaha apane baiga ko na bar3hAtA aura apanI sAdhAraNa gati se canatA to usa dUsare gAMva meM Der3ha ghar3I pIche se pahuMcatA aura jo prArambha hI se vaha bar3hAe hue vega se calatA to usa gAMva meM 1 ghar3I pahile pahuMcatA / to una do gAMva ke bIca meM kitane kosa antara thA ? uttara 15 kosa / (94) a, ka, ga, aura gha ye cAra mitra ratnoM ke vyApArI the| una meM ke pAsa samAna mAna ke 16 mAnika the| vaise hI ka ke pAsa 20 nIlamaNi, ga ke pAsa 2 motI aura gha ke pAsa 9 hore the| ina meM hara eka ne apane pAsa kA eka 2 rana aura tInoM ko diyaa| taba saba ke jitane 2 rana hue una kA dravya tulya huA / aba cAro jAta ke cAra ranoM kA mola mila ke 250 rupaye thaa| to hara eka ratna kA mola kyA thA seA kahA ? uttara, eka manika kA mAla 44 rupaye, nIlamaNi kA 33 rupaye, motI kA 6 rupaye aura hIre kA 176 rupaye / (95) a, ka, ga ra gha ye cAra manuSya pazuoM kA vyApAra karate the una meM ke pAsa ghor3e, 3 UMTa, baila aura kutte itane pazu the aura ye hI pazu, ke ke pAsa krama se 4, 8, 3 ra 2 the, ga ke pAsa 7,5, 2 aura 3 the aura gha ke pAsa 9, 2, 4 aura 1 itane the / ina cAro vyApAriyoM ne apane 2 saba pazu beMca DAle isa se sabhoM ko samAna rupaye mile / aba ina meM saba sajAtIya pazuoM kA mAla samAna thA aura ina cAroM jAta ke cAra pazuoM kA mola mila ke 186 rupaye thaa| to hara eka pazu kA mola kyA thA so kaho ? uttara, eka ghor3e kA mola 81 rupaye, UMTa kA 72, bela kA 30 aura kule kA 3 rupaye / For Private and Personal Use Only

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my'mniikhi hn| .... (6) eka kuNDa meM pAnI pAne ke liye cAra jharane the jo cAroM khule raheM to eka dina rAta meM arthAta 24 ghaNTe meM cAro jharanoM se pAnI mila ke 73 mana bhAve / aura itanA usa kuNDa meM nahIM samAtA thaa| paraMtu o pahilA jharanA 12 ghaNTe khulA rahe aura tInoM dina rAta khule rahe to samaya kuNDa jala se bhara jAve / vA jo dUsarA jharanA 8 ghaNTe khulA rahe aura tInoM dina rAta khule rahe tabhI kuNDa samaya jala se bhara jaadhe| vA jo tIsarA jharanA 6 ghaNTe aura saba tInoM 24 ghaNTe taka khule rahe taubhI vaha jala se bhara jAtA thaa| aisA hi no cauthA jharanA kevala ghaNTe 48 miniTa taka khulA rahe aura saba rAta dina khule rahe tabhI eka ahorAtra meM saba kuNDa jala se pUrNa hotA thaa| to 24 ghaNToM meM hara eka jharane se kitanA 2 pAnI AtA thA aura usa kuNDa meM kitane manaH pAnI samAtA thA so kho| uttara, pahile bharane se 24 mana, dUsare se 18, tIsare se 16 aura . cauthe se 15 aura usa kuNDa meM 61 mana pAnI samAtA thA / (7) / a. ka, ga aura gha ye cAra manuSya kucha 2 rupaye leke dUka? yata khelane baiThe usa meM a aura gha ke rUpaye milake ka aura ga ke rupayoM ke yoga se 244 adhika the| usa khela meM pahile a manuSya jItA taba usa ne apane pAsa jitane rupaye the utane 2 rUpaye aura tInoM se le liye| phira dUsarI bAra khela meM ka jItA taba usa ne bhI apane pAsa jitanA dhana thA utanA 2 dhana auroM se liyaa| taba krama se ga, aura ghaye dono jIte unhoM ne bhI vaisA hI dhana auroM se liyA / taba anta meM saba ke pAsa samAna rUpaye ho gye| taba khela ke Arambha meM hara eka ke pAsa kitane 2 rupaye the so kho| / uttara, ake pAsa 125, ka ke 225, ga ke 305 aura gha ke 368 rupye| (8) / eka manuSya ne 3 rupayoM ke 5 kabUtara, 5 rupayoM ke 7 sArasa pakSI, 7 rupayoM ke haMsa pakSI aura rUpayoM ke 3 mora isa bhAva se 100 For Private and Personal Use Only

Page #286
iy'aanmiikssaayaa shn| rupayoM ke 100 pakSI isI bhAMti mola liye ki unameM jitane sArasa patI the utane hi mora the aura jitane rupayoM se haMsa pakSI mola liye usa se dUne rupayoM ke mora liye to batAo usa manuSya ne ve cAro jAti ke patI kitane 2 mola liye ? uttara, 45 kabUtara, 14 sArasa pakSI, 27 haMsa aura 14 mAra / (EC) pAMca manuSya apane pAsa kucha 2 dhana le ke ikaDe yata khelane baiThe una meM prArambha meM pAMcave manuSya ke pAsa jitane rupaye the usa se pahile manuSya ke pAsa 325 rupaye adhika the| taba khela meM pahile hi prathama manuSya hAra gayA taba usane aura cAroM ke pAsa jitanA 2 dhana thA usa ke Adhe se eka rupayA adhika itanA 2 dhana saba ko diyA / isI bhAMti dasarA tIsarA ityAdi manuSya krama se hAra gaye aura unhoM ne bhI aisA hi dhana auroM ko diyA / taba anta meM sabhI ke pAsa samAna rUpaye ho gye| taba khela ke prArambha meM hara eka manuSya ke pAsa kitane 2 rupaye the so kho| uttara, pAMcoM manuSyoM ke pAsa krama se 435, 300, 210, 150 aura 110 itane rupaye the| (100) eka gaDha ke cAroM konoM para mila ke 1940 yodhA loga rahate the| eka bAra jisa kone para thoDe loga ye udhara zatra ke lar3ane lagA.taba usa kone para jitane loga the utane hi utane loga aura tIna konoM se usa para Ake vahAM se usa zatru ko haTA diyA para una logoM meM se lar3AI meM Adhe loga mara gaye / taba zatru dUsare kone para gayA vahAM bhI aisA hi huA aura yoMhI tIsare aura cauthe kone para huaa| phira dekhate haiM to saba konoM para samAna loga hue to pahile hara eka kone para kitane 2 loga the? uttara, pahile kone para 200, dUsare para 50, tIsare para 570, aura cauthe para 650 / For Private and Personal Use Only

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50 ekaghAta samIkaraNa sambandhi prazna / 93 / aba isa ke uttara pakramoM meM praznasambandhi kucha isa adhyAya ko aura pUrvArdha ko bhI samApta karate haiM / Acharya Shri Kailassagarsuri Gyanmandir vizeSa kaha ke Upara ke prakrama meM jo prazna likhe haiM ina meM jahAM kisI padArtha kI sAmAnya rUpa se gati kI carcA AvegI vahAM usa gati ko ekarUpa samajhanA caahiye| jaisA / kisI manuSya ko vA jala ke pravAha kI gati 1 ghar3I meM kosa kahI ho to vaha manuSya vA jala do ghar3I meM 2 phosa, tIna meM 3 a, cAra meM 8 a aura ya ghar3I meM atha kosa gati jAno / isI prakAra se kIsI karane meM se pAnI ke Ane vA jAne kI bAta jahAM ho vahAM bhI eka pala meM jitanA pAnI AvegA vA jAyagA do pala meM usa se dUnA, tIna pala meM usa se tigunA utpAdi jAno / aisA hi koI manuSya jo kucha kAma banAtA ho usa meM eka ghar3I meM jitanA banatA ho do ghar3I meM usa se dUnA aura ghar3I meM usa se guNa ityAdi / isI prakAra se sajAtIya prANiyoM ke sAmAnya rUpa se beMcane vA mola lene meM saba sajAtIya prANiyoM kA mola samAna jAno / ityAdi sarvatra isa meM gati kI vRddhi vA hrAsa aura sajAtIya padArtha kA mAla ityAdi ko ekarUpa smjho| aura kisI kI aniyata gati vA mAna se prazna kA uttara na banegA / For Private and Personal Use Only 48 / bIjagaNitasaMbandhi prazna ke uttara meM jaba ki dhana, dhAnya Adi padArtha vA deza arthAt rekhA, kSetra ityAdi jisa meM lambAI rahatI hai vA kAla arthAt ghar3I, dina mAsa ityAdi isI ko saMkhyA prAyaH rahatI hai aura vaha abhica vA bhitra pratyeka dhana vA RNa hotI hai / usa meM vyaktagaNita meM kevala saMkhyA kA abhivatva aura bhinatva mAtra dikhalAyA hai paraMtu usa ke dhanatva aura RNatva kI carcA usa meM nahIM hai / yaha carcA bIjagaNita meM hai / isa liye aba hama padArtha, deza aura kAla dUna ke dhanatva aura RNatva ke viSaya meM kucha yahAM saMkSepa se likhate haiM /

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. ekaghAta samIkaraNa sambandhi prazna / 271 kisI ke pAsa jo dravya vA dhAnya ityAdi padArtha usI kA hai vaha usa kA dhana hai isa liye usa padArtha kI saMkhyA dhana kahAtI hai aura jo padArtha usa ke pAsa dUsare kA ho vaha usa kA RyA hai isa liye usa padArtha kI saMkhyA RNA kahAtI hai / yoM padArtha kA dhanatva aura RNatva hai / isI prakAra se jaba eka sthAna se koi kisI eka dizA meM calA jAtA hai taba usa kA usa sthAna se jitanA antara ho vaha antara deza usa kA dhana hai / isa liye usa antara deza kI saMkhyA dhana kahalAtI hai / aura jaba vaha usI dizA kI viparIta dizA meM calegA arthAt usI mArga meM pIche calegA taba vaha calane kA deza usa kA RNa hai isa liye usa ulaTI dizA meM cale hue deza kI saMkhyA RNa kahAtI hai / jaisA ko manuSya kisI nagara se pUrva dizA meM 10 kosa gayA aura phira vahAM se lauTa ke pazcima dizA meM arthAt pUrva dizA kI viparIta dizA meM 9 kosa pIche calA gayA taba yahAM 10 yaha saMkhyA dhana hai aura yaha RNa saMkhyA hai / yahAM jo aisA prazna ho ki vaha manuSya taba usa nagara se kitanI dUra para kisa dizA meM hogA ? to yahAM + 10 aura - 7 ina kA yoga + 3 hai isa liye vaha manuSya usa nagara se 3 kosa para hogA aura tIna dhana hai isa liye usa nagara se pUrva dizA meM hogA / yaha usa prazna kA uttara hai / aura jo vaha manuSya lauTa ke pazcima dizA meM 12 kosa calA ho to yahAM 12 yaha saMkhyA 7 - 1 hogI / taba + 10 aura 12 ina kA yoga - 2 hai isa liye vaha manuSya usa nagara se pazcima meM do kosa para hogA / yaha uttara hai / yoM deza kA dhanatva aura RNatva hai / aura isI bhAMti kisI kSaNa se jaisA sUryodaya se 10 ghar3I bItI haiM yaha 10 saMkhyA dhana hai taba yahAM se pIche ulaTA jo kAla hogA usa kI saMkhyA RNa hai| yoM kAla kA dhanarNatva hai / yoM sarvatra dhana saMkhyA se viparIta RNa saMkhyA jAno / isa liye prazna ke uttara meM jo koi mAna RNa Atre to jo vaha vRddhi kA mAna ho to utanA hrAsa jAno / jo hrAsa kA mAna RNa Ave to utanI vRti smjho| yo jo lAbha kA mAna RNa ho to utanI hAni For Private and Personal Use Only

Page #289
275 emaghAsasamIkaraNasambandhi prazna / jAno / no hAni kA mAna sama ho to utanA lAbha jAno / ityaadi| yo jo parva deza kA mAna yA Ave to vaha pazcima deza kA mAna hogaa| pazcima deza kA mAna jaya ho to parva deza kA hogA / ghoM umra deza ke RNa mAna ko dakSiNa deza kA aura dakSiNa deza ke saNa mAna ko uttara deza kA mAna jAno / ityAdi / isI prakAra se kisI kSaNa se uttara bhAryAta bhaviSyat kAla kA mAna jo RNa Ave to vaha usa kSaNa ke pIche kA ulaTA kAla arthAt bhUtakAla jAnA / jo bhUtakAla kA mAna RNa Ave to vaha bhaviSyat kAla kA jAno / ityAdi / yoM hI jaba prazna ke uttara meM kevala saMkhyA kA mAna guNa Ave to prazna kI bolI meM jahAM usa saMkhyA ko jor3ane kahA hogA vahAM ghaTAnA aura jahAM ghaTAnA kahA hogA vahAM nor3a denA kaho / isa liye prazna ke uttara meM jo RNa mAna Ave to Upara jo RNAtva kA pratipAdana kiyA hai usa ke anusAra prazna ke usa uttara kI pratIti kara leo|. 15 / Upara ke prakrama meM no pratipAdana kiyA hai usa kA acchI bhAMti bodha hone ke liye isa meM bIjasatra kA lakSaNa likha ke usa para aura kucha vizeSa likhate haiN| bIjagaNita ke prazna meM jo mAna vyakta arthAt jJAta haiM una ke sthAna meM a, ka ityAdi vA pa, pha ityAdi akSara mAna ke ko avyakta rAzi kA mAna unhIM akSaroM meM le pAo to anta meM jo samIkaraNa utpanna hotA hai arthAta jisa meM avyakta rAzi ke samAna vyakta rAziyoM ke dyotaka ataro meM eka patta utpanna hotA hai vaha samIkaraNa 'brIjasatra' khlaaye| isa bIjasUtrasaMjJaka samIkaraNa meM vyakta akSaroM kA una kI saMkhyAoM se utthApana karane se turaMta avyakta rAzi kA mAna jJAta hotA hai| aura isa prakAra se jisa prazna kA bIjasatra utpanna karo usa se usa prazva ke sanAtIya jitane prazna hoMge una sabhoM kA uttara kevala vyakta kI soni se jAnane kA sUtra aryAla vidhi utpanna hotA hai| jaisA kama For Private and Personal Use Only

Page #290
paghAtasamIkaraNa sambandhi prazna / (92) ve prakrama meM jina praznoM kA gaNita karake dikhalAyA hai una meM (ba) ve aura (9) ve prazna ke gaNita meM usa 2 prazna kA bIjasUna utpanna kiyA hai| isa bIjasUtra para aura vicAra karane ke liye kucha prazna likhate haiM / samakriyA se Acharya Shri Kailassagarsuri Gyanmandir prazna 1 / jisa saMkhyA ko meM ghaTA ke antara ko ka meM jor3a deo to yoga ga hotA hai vaha saMkhyA kyA hai ? mAno, tha. vaha saMkhyA taba, ka + (-) ga yA + ka ga isa liye ya = A + ka - ga, yaha isa bhAMti ke prazna kA bIjasUtra hai / isa meM a, ka aura ga ina kA mAna cAho se mAna ke una kA utthApana karane se ya kA mAna turaMta jJAta hogA jaisA / jo a = 4, ka - 5 aura ga = = 6mAnA to ya - 4+5-6-3 // arthAt jisa saMkhyA ko 8 meM ghaTA ke antara ko 5 meM jor3a deo so yoga 6 hotA hai vaha saMkhyA 3 hai / kyoM ki 3. ko 4 meM ghaTA dene se antara 1 hotA hai isa ko 5 meM jor3a deo to yoga cha hotA hai / dUsa liye 3 yaha usa saMkhyA kA mAna ThIka hai / paraMtu jo R = 5, ka. =2 aura ga= 8 mAno to yaH =5+7-4=51 arthAt jisa saMkhyAko 5 meM ghaTA ke antara ko 9 meM jor3a dena bA yoga 4 hotA hai vaha saMkhyA 8 hai / isa liye usa saMkhyA kA mAna jo kaheM to prazna kI bolI ke anusAra isakI pratIti nahIM hotii| kyA ki yaha saMkhyA pahile hi 5 meM nahIM ghaTa sakatI / yoM loka meM yaha uttara anupapatra arthAt pratIti karane ke yogya nahIM hai / isa liye Upara ke prazama meM jo RNatva kA pratipAdana kiyA hai usa ke anusAra isa: prazna kI bolI yoM palaTa diI jAve ki jisa saMkhyA meM 5 ghaTA ke pra 4 For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra 200 ekaghAta samIkaraNa sambandhi prazna / nasara ko 0 meM ghaTA dezro to antara 4 hotA hai to isa prazna kA yaha uttara upapatra arthAt pratIti ke yogya ho sakatA hai / isa prakAra se zrIbhAskarAcArya ne bhI likhA hai ki www.kobatirth.org yatra kvacicchudvividhau yadeha zodhyaM na zudhyedviparItazuddhA / - vidhistadA proktavadeva kiMtu yo viyoga: sudhiyA vidheyaH // isa kA artha | yahAM jaba kahIM antara karane meM ghaTAne ko saMkhyA na ghaTa sake vahAM ulaTA ghaTA ke (arthAt jisa meM ghaTAnA hai usI ko ghaTAne kI saMkhyA meM ghaTA ke) usa antara se Age jo vidhi kahA ho usI ke anusAra buddhimAn saba gaNita kareM kiMtu jahAM yoga karanA ho vahAM antara kare / isI prakAra se ya = a + ka - gaisa bIjasUtra meM jo a = 3, ka- 8 aura ga = 13 mAno to ya = 3+6 . 13 -- 1 arthAt jisa saMkhyA ko 3 meM ghaTA ke antara ko meM jor3a de to yoga 13 hotA hai vaha saMkhyA kyA hai ? isa prazna kA uttara AtA hai ! paraMtu kevala RNa saMkhyA loka meM anupapatra hai isa liye Upara ke prakrama ke anusAra isa prazna kI bolI yoM palaTa diI nAve ki jisa saMkhyA ko 3 meM jor3a ke yoga ko meM jor3a devo to yoga 13 hotA hai to vaha saMkhyA 2 hai yaha isa prazna kA uttara pratIti ke yogya hotA hai| yahAM mAnA ki ya isa liye a + ya samakriyA se, Acharya Shri Kailassagarsuri Gyanmandir prazna / AA manuSya kA vaya phaba cA kA vaya kA ke vaya se ya = 1 barasa hai aura kA kA ka barasa hai to gaguNa hogA ? barasa ke uparAnta gaguNa hogA ga (R + ya) zra- - kagaH ga- 1 For Private and Personal Use Only

Page #292
ekaghAtasamIkaraNasambandhi prazna / isa liye isa jAti ke prazna kA ya=-kA yaha bIjasUtra hai| esa meM a, ka aura ga duna kA iSTa saMkhyAoM se usthApana karane se ya kA mAna spaSTa hogaa| aba isa bIjasatra ko dekhane se spaSTa jJAta hotA hai ki jo isa meM ya kA mAna dhana abhISTa ho to kora ga dUna ke guNanaphala se kA mAna avazya bar3A cAhiye nahIM to ya kA mAna ghaNa hogaa| nesA / jo = 25, ka = 11 aura ga-2 to ya = 25-11423 arthAta A kA dhaya 25 barasa aura kA kA 11 barasa ho to tIna barasa uparAnta pA kA vaya kA ke vaya se dUnA hogaa| paraMtu no a= 34, ka = 18 aura ga-2 to ya = 3421942=-2 / / yahAM kaga se akA mAna choTA hai isa se ya kA mAna paNa do hai isa liye Upara ke prakrama meM no likhA haiM usa ke anusAra yahAM pA kA vaya 34 barasa aura kA kA vaya 18 barasa ho to pA kA vaya kA ke vaya se TUnA kaba hogA? isa prazna kA yaha uttara hogA ki do barasa pahile A kA vaya kA ke vaya se dUnA thA / isa prakAra se yahAM spaSTa hai ki dhana mAna jo bhaviSyatakAla kA ho to kSaNa mAna bhUtakAla kA hogaa| prazna 3 / eka kuNDa meM a, ka aura ga ye tIna pAnI ke jharane haiM una meM jo apaura ka ye do jharane eka kAla meM khola deo te vaha kaNDa paghar3I meM jala se bhara jAtA hai, jo aaura ga ye do khola de to vaha kuNDa pha ghar3I meM bharatA hai aura ka pAra ga ina do jharanoM ko bAla dene se vaha kuNDa ba ghar3I meM bharatA hai to alaga 2 ekara jharanA bulA rakhane se vaha kuNDa kitanI 2 ghar3I meM bharegA? For Private and Personal Use Only

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Shri Mahavir Jain Aradhana Kendra isa liye -2 gha kaghAta samIkarasambandhi prazna / mAnA ki ca ka aura ga me tIna bharane alaga 2 kAla meM khule rakhane se kama se yara aura sa ghar3I meM saba kuNDa jala se bhara jAyagA 42+3 ke aura hai + le be 1 1 pa ya + = :: samakriyA se, ya = www.kobatirth.org 2 paphaba 2 pheba paba + phaba - paphara = papha + phaba 2 paphaba paba + phaba - papha aura la = 2 paphaba papha+ paba- phaba isa prakAra se isa prazna meM tIna avyaktoM ke liye tIna bIjasUtra haiM / ina meM jo pa 15 aura ga = 20 ho = 12, pha to tha 20, zapaphaba 30, papha + phaba - patra 7200 5 paphaba papha + paba phaba 120 60 / aura la arthAt eka kuNDa meM to aura ka ye do bharane eka sAla meM khola deo to vaha kuNDa 12 ghar3I meM jala se bharegA, a aura ga ko eka kAla maiM khola de to 15 ghar3I meM bharegA aura ka aura ga ko khola dethe| to 20 ghar3o meM bhregaa| to alaga 2 kAla meM hara eka jharane se kitanI ra ghar3I meM vaha kuNDa jala se bharegA ? isa meM a, ka aura ga ye tIno bharane alaga 2 kAla meM khule rakhane se vaha kuNDa krama se 20, 30 aura 60 ghar3I meM bhara jAyagA / paraMtu ina bIjasUtroM meM jo pa 2 padaba to, ya = paba+phaba - papha -- Acharya Shri Kailassagarsuri Gyanmandir 7200 360 1 0200 240 12, pha = 30 aura ba : 20, 43200 020+1800-360 2 paphaba .43200 ra - papha + phaba patra 360 +1800 2 paphaba 43200 papha + paba phaba 360 + 020- 1800 30, 43200 - 720 - 60 // la = arthAt a, ka aura ga ina tInoM jharanoM meM dvAra bharane khule rakhane 'se no vaha kuNDa krama se 12, 30 aura 60 ghar3I meM bharegA to kevala bharanA khulA rakhane se 20 ghar3I meM bharegA, ka khulA rakhane se 30 ghar3I meM bharegA aura ga jharane ke kAla kA mAna RNa 60 ghar3I AyA hai paraMtu - patra ' For Private and Personal Use Only 60 mAnA = 43200 1440 - 720 43200 2560 -

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eka aura dvISTakarma / apara ke prakrama meM dikhalAyA hai ki kAla kI saNa saMkhyA bhUtakAla kI arthAta pIche ke kAla kI dyotaka hai / isa liye jaisA aaura ka jharanoM ke kAla kA mAna dhana hai isa kAraNa se jaba kuNDa jalarahita hai usa kAla ke uparAnta 20 ghar3I taka ajharanA khulA rahe vA 30 ghar3I taka ka jharanA khulA rahe to vaha kuNDa nala se pUrNa ho jAtA hai taisA ga jharane ke kAla kA mAna zNa hone se jaba kuNDa jalarahita hai usa kAla ke pIche 60 ghar3I taka ga jharanA khulA rahe to vaha kuNDa jala se pUrNa rahatA hai| yaha 6. ghar3I ke kSaNatva kA artha hai / isa se spaSTa prakAzita hotA hai ki usa kuNDa meM a aura ka ye do jharane usa meM pAnI Ane ke liye the aura ina se krama se 20 aura 30 ghar3I meM vaha kuNDa jala se pUrNa hotA thaa| aura ga yaha jharanA kuNDa kA pAnI usa meM se nikalane ke liye thA aura isa se vaha kuNDa bhara jala 60 ghar3I meM saba nikala jaataayaa| 26 / apara ke prakrama meM usa 2 prakAra ke prazna kA uttara jAnane ke liye alama 2 bonasatra utpanna karane kA prakAra dikhlaayaa| paraMtu jisa se ekavarNaekaghAtasamIkaraNasambandhi praznamAtra kA uttara jJAta ho aisA bhI bIjasUja utpatra ho sakatA hai| usa meM lAghava ke liye jine praznoM meM avyakta rAzi kisI vyakta saMkhyA se guNA vA bhAgA huA ho vA apane hi kisI aMza se jor3A huA vA ghaTAyA huA ho aise praznoM ke uttara ke liye eka choTA bIjamatra hotA hai| aura (ekavarNaekaghAtasaMbandhi) sakala praznoM ke uttara ke liye eka bar3A bIjasUtra hai / usa meM pahile bIjasUtra se jo vidhi utpatra hotA hai usa ko iSTakarma kahate haiM aura dUsare se jo vidhi banatA hai usa ko dvISTakarma kahate haiM / ina bIjasUtroM ke vidhioM se ekavarNaekaghAtasaMbandhi samagra praznoM ke uttara avyakta akSara kI kalpanA ke vinA kevale vyakta kI rIti se jJAta ho sakate haiM / isa liye anantara ke do prakramoM meM krama se ve do bItasUtra aura una ke vidhi likhate haiN| For Private and Personal Use Only

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baSTakarma aura dvISTakarma / , 17 / ekavarNaekaghAtasamIkaraNasaMvandhi praznoM meM jina meM pravyAta rAzi kisI vyakta saMkhyA se guNita vA bhakta vA apane kisI aMza se sahita vA rahita ho una meM spaSTa hai ki una praznoM se aya = ka, aisA eka samIkaraNa utpanna hogaa| ina meM ka yaha vyakta saMkhyA prazna meM jJAta rahatI hai isa ko dRSTa kahate haiN| aba aise prazna meM jo avyakta rAzi kA mAna koDa iSTa arthAt cAho so mAno, jaisA da, to spaSTa hai ki ada yaha ka ke samAna na hogA kiMtu aura koI hogA so mAno kina hogA isa ko niSyatra kahate haiN| to ai = na, yaha dasarA samIka-- raNa hai / isa se a = / isa a kI umiti ko aya = ka, isa samAkaraNa meM ake sthAna meM rakhane se x ya = ka.. ya = ka / isa prakAra se aise praznoM ke uttara ke liye ya = ka yaha bIjasatra hai| isa se yaha nIce likhA huA vidhi utpanna hotA hai| isa vidhi ko iSTakarma kahate haiN| iSTakarma / jisa aise prazna kA uttara.jAnanA ho usa meM pahile adhyakta saMkhyA ke sthAna meM jo cAho so saMkhyA mAna leo usa ko iSTa kahate haiM usa meM prazna kI bolI ke anusAra saba gaNita karo taba anta meM jo niSyantra hogA usa kA iSTa aura dRSTa dUna ke guNanaphala meM bhAga deo no labdhi AvegI vahI avyaktarAzi kA mAna hogaa| usa se prazna kA uttara spaSTa hogaa| udA0 / jisa saMkhyA ko do se guNa ke phala meM usI saMkhyA kA prAdhA aura tihAI ghaTA deo to 46 zeSa rahatA hai yaha saMkhyA kyA hai? mAno ki vaha saMkhyA 6 hai, taba 642-643-641 - = 12-3-2= yaha niSpatra hai| aura prazna meM 46 dRSTa hai| pasa liye 42, yahI abhISTa saMkhyA hai| yaha uttr| For Private and Personal Use Only

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iSTakarma aura dvISTakarma / sara 18 / jaba ki ekavarNaekaghAtasamIkaraNasambandhi prazna mAtra meM aya + ka aura gaya + gha aise do samAna pata utpaca hote haiM yaha spaSTa hai| rasa liye ina do pattoM kA antara avazya * hogA . arthAta aya+ka- (gaya+gha) = . (a-ga) ya+ (ka-gha) . . aba aise prazna meM no avyaktarAzi kA mAna iSTa arthAt cAho so mAno jaisA i to spaSTa hai ki isa se prazna kI bolI ke anusAra jo prada + ka aura gai + gha, ye do pata utpanna hoMge ye paraspara samAna na hoMge isa liye ina kA antara * nahIM hogaa| to mAno ki ina do patA kA antara na hai| arthAt ai + ka- (gai + gha) = na .:. (a-ga) + (ka-gha) =na aura Upara kA samIkaraNa, (a-ga) ya+ (ka-gha) = * antara karane se, (a-ga) (i-ya) = na .. isI prakAra se jo avyaktarAzi kA mAna kora dUsarA iSTa jaisA u mAno aura isa duSTa se jo do pakSa hoMge una kA antara ma mAno to Upara kI yukti se (a-ga) (u-ya) = ma, yaha samIkaraNa utpatra hogaa| :: bhAgahAra se a-gA(hu-yA = meM / arthAta hu-ya- na vA, maha-maya = nau-naya .. (na-ma) ya = nau-mada . aura ya = nara-maI ---- isa prakAra se ekavarNaekaghAtasamIkaraNasambandhi praznoM ke uttara ke liye ya= nau-maha yaha bIjasUtra hai / isa se una praznoM kA uttara jAnane ke liye nIce likhA huA sAmAnya vidhi utpatra hotA hai| isa ko dvISTakarma kahate haiN| For Private and Personal Use Only

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itraa ..PERamNINVESTM Tamarma aura dviissttkrm| dvISTakarma / prazna meM aura madhya rAzi hogA usa ke sthAna meM kA iSTa saMkhyA mAna ke usa meM prazna kI bolI ke anusAra saba gaNita kara ke samAna do pakSoM kI saMkhyA siddha karo jove do saMkhyA paraspara samAna ho to no iSTa mAnA hai vahI avyaktA rAzi kA mAna hogaa| paraMtu jo ve saMkhyA paraspara samAna ma hoM to una kA antara karo aura pahile pakSa kI saMkhyA se dUsare pakSa kI saMkhyA jaisI choTI vA bar3I hogI usa ke anusAra vaha antara dhana kA saca jAnne / isI prakAra se avyakA rAzi ke sthAna meM dUsarI eka iSTa saMkhyA mAna ke dUmarA antara dhana ghA RNa siddha kro| phira pahile antara ko dUsarI dRSTa saMkhyA se gukha deno aura dUsare antara ko pahilI iSTa saMkhyA se guNa deo| taba jo ve antara donoM dhana vA donoM rANa hoM to ina do guNanaphaloM ke antara meM una do antaroM ke antara kA bhAga deo / paraMtu jo eka antara dhana ho aura eka RNa ho to guNanaphaloM ke yoga meM antaroM ke yoga kA bhAga deo / yoM karane se jo labdhi pAvegI vahI adhyaktarAci kA mAna hogA / usa se prazna kA utsara spaSTa hogaa| udaa0| jisa saMkhyA ko do se guNa ke phala meM 17 ghaTA deo to zeSa, usa saMkhyA ke Adhe se 1 adhika rahatA hai vaha saMkhyA kyA hai? mAno ki vaha saMkhyA 14 hai, to 1442-17 = 11, paraMtu 1441 +1=8, :: 11-83 yaha pahilA antara dhana hai| phira mAno ki vaha saMkhyA 18 hai, to 18 42-17 = 16 aura 1843 + 1 = 10, .. 16-10 = yaha dUsarA bhI antara dhana hai| aba 3418 = 54 aura 6414 = 126 isa liye 126-14 = = 12 yahI abhISTa saMkhyA hai / yaha uttara ' bIjagaNita kA pUrvArdha samApta huA // . For Private and Personal Use Only

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