Ganittilakam Savrtuttikam

Author(s): Hiralal R Kapadia
Publisher: Oriental Research Institute Vadodra

Page 49

XLVIII
INTRODUCTION
With these words about Jaina contributions in the Mathe. matical field, I shall now say a few words about Ganitatilaka.
Outlines of Ganitatilaka Ganitatilaka is the name definitely mentioned for this work by its commentator Sinhatilaka Sūri; S'ripati, its author styles it as Pātīganita ( Ganitasya pātīin)". This work is entirely composed in Sanskrit in verses in various metres. In the very first hemistich of the first verse, the author offers his salutation to the nature of the soul, in a way which is practically acceptable to several Indian systems of philosophy. In the second hemistich, he indicates the subject and the purpose of composing the work. The very first topic which he then introduces deals with the following names of 18 notational places:
(1) Eka, (2) Dasan, (3) S'ata, (4) Sahasra, (5) Ayuta, (6) Laksa, (7) Prayuta, (8) Koți, (9) Arbuda, (10) Padma, (11) Kharva, (12) Nikharva, (13) Mahāsaroja, (14) S'anku, (15) Samudra, (16) Antya, (17) Madhya and (18) Purārdha.s .
1 See verse I. In the colophon (p.3), the name Ganitatilaka occurs. 2 See my Sanskrit introduction. 3 This is capable of many an interpretation. See p. 1.
4 These very names except padma and mahāsaroja for which we have abja and mahūmbuja, are found in Abhidhānacintāmaņi (IIT, v. 537-538). 5Cf.
"एका च शतं च शतं च सहस्रं च सहस्रं चायुतं चायुतं च प्रयुतं च प्रयुतं चायुतं चार्बुदं च न्यर्बुदं च समुद्रश्च मध्यं चन्तिश्च परार्धश्चेमा मे अग्ना इष्टका"
-मैत्रायणीसंहिता २-८-१४ (p. II8) "इमा में अग्न इष्टका धेनवः सन्त्वेका च दर्श च दर्श च शतं च शतं च सहस्रं च सहस्रं चायुतं चायुतं च नियुतं च नियुतं च प्रयुतं चाबंदं च न्यर्बुद च समुद्रश्च मध्यं चान्तश्च परार्धश्च"
-वाजसनेयीसंहिता १७-२ (p. 311) "एको च शतं च सहस्रं चायुतं च (३) नियुतं च प्रयुतं चार्बुद च न्यर्बुदं च समुद्रश्च मध्यं चान्तश्व परार्धश्च"
-तैत्तिरीयसंहिता ४-४०-११-४ (p. 3032) "शताय स्वाहा सहस्राय स्वाहाऽयुताय स्वाहा नियुताय स्वाहां प्रयुताय स्वाहार्बुदाय स्वाहा न्यर्बुदाय स्वाहा समुद्राय स्वाहा मध्याय स्वाहाऽन्ताय स्वाहा परार्धाय स्वाहोषसे स्वाहा"
-तैत्तिरीयसंहिता ७२-२०-१ (p. 4445) (All of these have been noticed by Dr. B. Datta and Dr. A. N. Singh in their work History of Hindu Mathematics, Pt. I, pp. 9-10).