Ganittilakam Savrtuttikam

SR No.: 003174
Original Sutra Author: N/A
Author: Hiralal R Kapadia
Publisher: Oriental Research Institute Vadodra
Publication Year: 1937
Total Pages: 214
Language: Hindi
Classification: Book_Devnagari
File Size: 11 MB

Page 12

INTRODUCTION
Mathematical works of the Jainas. For, we have reasons to believe that some are still lying buried in the bhaņdāras and a number of them seem to have perished. This is borne out by Ganitasärasangraha (ch. 1,' v. 17-19), where its author has expressed his indebtedness to many previous Mathematicians. Furthermore, the fact that the three verses pertaining to *Permutations and Combinations' and quoted by Slīlārka Sūri (862 A. D.) in his commentary, to Acārānga are not traceable to any available Mathematical work corroborates this inference". Moreover, the mention of six mensuration-formulæ by Umās. vāti in his bhāșya to Tattvārthādhigamasūtya (ch. 3, s. 11) supports this view-point.
The Ten TYPES OF SANKHYANA Sthāna, the second anga of the Jainas mentions ten? kinds of sankhyānat or calculation viz., ( 1 ) parikarma, (2) vyavahāra, (3) rajju, (4) rās'i, (5) kalăsavarņa (6) yāvattāvat, (7) varga, (8) ghana, (9) vargavarga, and (10) kalpa, as can be seen from the following couplet incorporated in its 747th sūtra :
"परिकम्मं १ ववहारो २ रजू ३ रासी ४ कलासवन्ने ५ य । जावंतावति ६ वग्गो ७ घणो ८ त तह वग्गवग्गो ९ वि कप्पो त १० ॥
simil.
Abhapada
the
1. In the concluding lines of the chapter this author has recommended the jijñāsus (Pistangs ) of further details on terminology to consult the agamas.
2. Probably a similar remark holds good in the case of a verse or so referred to by Abhayadova Sūri in his commentary to Sthūnungasutra, while explaining the meaning of Yavattavat, a kind of calculation.
3. In a cūrni, these are mentioned as 16, Brahmagupta has indicated 20, and Mahāvīrācārya 8.
4. Dr. B. Datta translate this as "Science of numbers".
5. This is what is interpreted by Abhayadeva Sūri. Dr. Datta however mentions as the tenth sankhyana 'vikalpa' (permutations and combinations); he reads vi and kappa together,
6. We come across the following verse which slightly differs from this and which is quoted by S'ilanka Suri in his commentary to Sūtrakrta, the second anga (2nd s'rutaskandha, ch. 1, sūtra 154):
"परिकम्म रज्जु रासी ववहारे तह कलासवन्ने य ।
पुद्ग(ग)ल जावंतावं घने य धन वग्ग वग्गे च (य)॥" This will show that not only does the order of the ten types of sarikhyāna differ, but even there is a material difference. For, the second line, if construed as suggested by the editor of Sütrakrta, calculations mentioned therein refer to