________________
point (B) (cf. Fig. 3).
B
a/2 →
a/2 →k
(d-a)
Fig. 3 : A conch-like plane figure proposed by Hayashi.
Then, the perimeter of the conch-like plane figure (Fig. 3) (except for the straight line AC) could be approximated by that of the circle Cz:
[10]
The area of the same could be approximated by -
(B, + B2)
A - AL
(21]
where A, is the area of the circle C, and (B,+B) is the area of the lune made by C, & Cz; or by -
(B, - B2) A AQ +
[29]
2
where A, is the area of the circle Cz and B, and B2 are those of the lunes made by C, and C2 and C2 and Cz respectively.
Mahāvira gives a rule for finding the area of a lune. नेमे जयुत्यर्धं व्यासगुणं तत्फलार्धमिह बालेन्दोः॥
(GSS v 7.7 second half, p.430)
The area oi a rim (nemī) is half the sum of the sides (bhujas) multiplied
Arhat Vacana, 14(1), 2002
35
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