Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 383

CHAPTER VI--XIXED PROBIENS.
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by one (respectively), corresponding to the even (value) which is balved, and the uneven (value from which one is subtractod, till by continuing these processes zero is ultimately roached. The numbers in the chain of figures Bo obtained are all doublel, (and then in the process of continued multiplication from the bottom to the top of the chain, those figures which come to live a to above them)" are. squared. The resulting product (of this continue multiplication gives the number of the varieties of stanzas possible in that syllabic metre or chandas).
The arrangement of short and long Avllables in all the varic. ties of stanza: 80 obtained) is shown to be arrived at thus :- . (Tho natural numbers commencing with me and cuding with the measure of the maximum number of porrible tauzas in the given metro being noted down), every odd number (therviu) has onr added to it, and is (then) halved. Whenevor this process is gone through), a long syllable is decidedly indicated. Where
ognin odd, lenoto's third long wlable. Thus the first variets copaints of three long asllablom in indicated
thos II. 2nd variety : 2, being aveu, indicates a whort wylo bilo; whon this in
divided by the quotient in I, which bring udd indicates
long syllable. And I to thin 1, and divide the sun by 2, the quotient being odd imicates a long wylable: thun
Similarly the other six varieties are to be found out. (3) The fifth variety, for instance, may be found out an above.
(4) To find out, for instance, the ordinal powition of the variety, wo proceed thus:-. Below these syllables, write down the ternit of a sories in geomotricul poro
Krenrion, liaving 1 as the first form and 2 on the common ratio. Add the I l figures 4 and 1 under the the short syllable and incrone the sum ly 1, 1 9 4 we get 0: and we, therefore, way that thim in the sixth variety in the
tri-syllabic metre. 16) Suppose the problem in: How many varieties onntnin? short myllables ! Write down the nntoral numbers in the regular and in the informe order, OH below the other thur: 1. Taking two terme from right to left, both from
1. Taking two terma from above and from below, we divide the product of the former by the prolurt of the Inttor. And the qoutient 3 is the Annwer requirol.
(C) It is prescribed that the symbole reprcmenting the long and short Myllables of any variety of metre should occupy an argula of vertical space, and that the intervening space between any two varieties should also be an angwla. 'The amount, therefore, of vertical jare required for the varieties of thm metre is 2 x 8-1 or liangulas.