Ganittilakam Savrtuttikam

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

Page 47

XLVI
The second value of is noticed in Jambudvipaprajñaptı (sutra 19) and in Uttaradhyayanasūtra (XXXVI, 59).
The third value is hinted at in Jivājīvābhigamasutra (sütra 112). There it is stated that for an increment of 100 in diameter, the circumference increases by 316.1
INTRODUCTION
In the
Digambara works T is equated to since, according to these works = V10=V9+23+ 193
RAJJU
In most of the Jaina works, a rajju is defined as the diameter of the Svayambhuramana ocean. Ratnasañcayaprakarana (v. 4835, p. 189°) defines rajju as follows:
A god can go 100,000 yojanas in the winking of an eye. The distance which he can go in 6 months is a rajju.
Rajju is also defined as under:
If a powerful god were to throw down forcibly an iron ball heated and weighing 1000 bhāras, the distance which it can cover in 6 months, 6 days, 6 praharas, and 6 ghatikās is equal to a rajju. See Ratnasancaya (v. 19–207).
1 This leads us to infer that the Jainas were aware of the fact that the circumference of a circle varies as its diameter.
2 Cf. Lokaprakās'a (I, v. 72).
1
3 According to The Jaina Gem Dictionary (pp. 154-155), the rule for finding a sq. root is to write the sq. root of the nearest rational number and to add to it the remainder divided by twice its sq. root e. g. V=Vi+2V = 1 + 3. Cf. VN-Va2+r= a + where r is small. 4 Cf. Lokaprakas'a (I, v. 65).
2* Za
5 This verse is as under:
"जो लक्खमाणं णिमेस मित्तेण जाइ जो देवो । छम्मासेण य गमणं एयं रज्जू पमाणेणं ॥ ४८३ ॥” [योजनलक्षप्रमाणं निमेषमात्रेण याति यो देवः । षण्मासेण च गमनमेतद् रज्जुः प्रमाणेण ॥]
2
19
7 They are as under:
The 187th gatha of Bṛhat-sangrahani containing 485 gathās may be seen in this connection.
61
6 This page-number refers to an edition published by S'ri Jaina dharma prasaraka Sabha in Samvat 1985. This edition contains both the text and its Gujarati translation.
" मिल्हs सुहुमाइ कोई सुरो अ गोलो अ अयमओ हिट्ठो । भारसहस्समयं सो छम्मासे छहिं दिणेहिं पि ।। १९ ।। छ पहरे छ घडीया जावक्कमइ जइवि एवइया । रज्जू तत्थ पमाणो दीवसमुद्दा हवइ एया || २० ||"