Arhat Vachan 2002 01

SR No.: 526553
Original Sutra Author: N/A
Author: Anupam Jain
Publisher: Kundkund Gyanpith Indore
Publication Year: 2002
Total Pages: 108
Language: Hindi
Classification: Magazine, India_Arhat Vachan, & India
File Size: 7 MB

Page 52

been originated from the same theory.
=
In the above theory, the thickness seems to be constant (v for different values of d and m except for the case of Nemicandra's formula [4c]. But Virasena's formula [3b] does not obey the just mentioned pattern. The possible reason behind this is that the generality of his formula [3b] is doubtful being 4 in place of m in denominator. This might have happened due to the influence of the example in which d= 12 yojanas and m 4 yojanas.
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The derivations of the expressions of Mahavira's formula [2c] and Narayana's formula [2e] seem to have been derived from theory like the above one although Rangacharya's observation is very exact.
5)
m
2
We, through Madhavacandra's rationale, have observed that the formulae [2h], [4a] and [4c] are with 10 and the occurence of the term (din them is significant. Hence Hayashi's emendations [a] and [b] for the verse (DVL, v. 13, p. 35] cited by Virasena are not in their work. He himself remarks 20 whether his emendations are correct or not, it is certain that the origin of Mahavira's problem of 'conch-shell-circle' can be traced back to the calculation of the volume of a conch-shell in the Jaina canonical works.
The points raised at different places during the present study show that problems regarding the mensuration of a conch are not only with Mahavira but also with Yativṛṣabha, Virasena, Nemicandra, Madhavacandra and Narayana.
[D] Yativrṣabha and Virasena have quoted the same rule for finding the area of a plane conch. This rule is in Sanskrit whereas their works are in Prakrit. Therefore, here it can be easily inferred that they might have got the rule from an unknown treatise. That treatise might have either suffered destruction or is still lying hidden from view in some unknown place, it is certain that it must be in Sanskrit, of Jaina authorship and anterior to Yativṛsabha.
10. CONCLUDING REMARKS
The various patterns on the mensuration of a conch in ancient India come into sight within the JSOIM through the present article. They can be unified by making further study and developing hypothesis as well and by unearthing the unknown treatise from which Yativṛṣabha and Virasena have quoted the rule for finding the area of a plane conch.
Arhat Vacana, 14(1), 2002