Book Title: Jinamanjari 1996 09 No 14
Author(s): Jinamanjari
Publisher: Canada Bramhi Jain Society Publication

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Page 66
________________ hodi | The square rooi of ten times the square of the diameter (d) is the circumference (C) of a circle. (Stanza Sab cited in the Dhavalā on CK 1.4.28; vol. 4, p. 209) C= V10 vyāsaṁ șodaśagunitaṁ sodaśasahitam triūparūpahrtam vyāsatriguņitasahitam sūkṣmād api tad bhavet sūkşmam The diameter (d) is multiplied by sixteen, increased by sixteen, divided by one-one-three (113), and increased by three times the diameter. It will be (a value for the circumference (C)) more accurate than the accurate one. (Stanza 9 cited in the Dhavalā on CK 1.4.38; vol. 4, pp. 221 - 222) C = 3d + 160 + 16 C= 30 + 113 ( = 355d + 16 113 ) 113 113 In the acutal use of the first formula, the approximation, 19/6, is employed instead of V10. The verse for the second formula is repeated with a minor variant (trirūparūpair bhaktam for trirūparūpahạtam) as Stanza 14 on CK 1.3.3 (vol.4, pp.42 43). The same formula is silently employed also on CK 1.3.2 (vol.4, p. 12) and on CK 1.3.4 (vol.4, p.48 and p.49). On CK 1.3.2 (vol.4, p. 13, lines 6 7), V'rasena uses, in addition to the above, 59 Jain Education International For Private & Personal Use Only www.jainelibrary.org

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