________________
12
Fig. 4 A conch-like plane figure proposed by L. C. Jain (1958)
4
But it is very difficult to relate the Fig. 4 and formula [21] to the formula [2h]. Therefore, after three decades, he [1988] again designed another figure [Fig. 5] for a conch on the basis of the exposition by Aryika Visuddhamati to Madhavacandra's rationale.
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Yatiursabha further gives a rule, in Prakrit, for calculating the thickness. (bahalya) 'v' of a conch.
V =
-
– -
।
आयामें मुह सोहिय पुणरवि आयाम सहिद मुह भजियं बाहल्लं णायव्यं संखायारट्ठिए खेत्ते ॥
Arhat Vacana, 14(1), 2002
4 yojanas
Fig. 5 A conch designed and its figure labelled by L. C. Jain [1988]
,
(TP, v. 322, p. 208)
The dimension (ayama) 'd' diminished by the face (mukha) 'm' is added by the dimension 'd'. (This result) divided by the face 'm' gives (the value of) the thickness (bahalya) of the conchiform figure (samkhakṛti kṣetra).
(d-m) + d
m
12+4
2
= 8 yojans
।
व्यासं तावकृत्वा वदनलोनं मुखार्धवर्गयुतम् । द्विगुणं चतुर्विभक्तं सनाभिकेऽस्मिन् गणितमाहुः ।
5. VIRASENA
In his Prakrit commentary titled Dhavala, on the Satkhandagama of Puspadanta and Bhulabali (1-2 nd century A.D.). Virasena too cites a rule, in Sanskrit, for finding the area of a conch (- like plane figure).
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[3a]
(DVL, v. 13, p. 35)
37
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