________________
by the print of the face 'm' and one-twelfth of the perimeter 'P' and (then) multiplied by three, is the area (phala) 'A'.
The diameter 'd' is diminished by half the face (vadana) 'm'. The face 'm' is halved. The (sum of the) squares of their halves multiplied by three is the gross (sthūla) area of a conchiform (plane) figure (samkhakrti).
[1d]
P=3 (0- A=3 [Com A = 3 [ 60 ml) + (12)
(2d]
[2]
In the published text (part : 2, p. 7) of the GK, a figure (Fig. 2) is given for the example (GK, ksetra, Ex. 6) in which d = 24 and m = 8 Answer P = 60 and A = 312].
- 24
Fig. 2: A conchiform (plane) figure given
in the published text of the GK. The figure (Fig. 2), according to Hayashi", appears to represent a side view of the conch, but it is difficult to relate the above formulae (1d], [2d) and [20] to this one.
We think that one may make effort to relate this figure (Fig. 2) to the Fig. 6.
Hayashi 12 gives a hypothesis that Mahāvira and Narayana most probably obtained all the above formulae not from the two semi-circles, AB and BC (cf. Fig. 1a and 1b), but from the circle C, and half the lune (B, + B2) or from the circle C2 and half the lunes, B, and B2 (cf. Fig. 3).
Let us consider three circles, C1, C2 and Cz, whose diameters are d, (d-d/2) and (d-a) and which, nested successively, touch each other at a single
34
Arhat Vacana, 14(1), 2002
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