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JAIN JOURNAL
(The square-root of) the sum of six times the square of the breadth and the square of double the length is the (accurate) perimeter (of an elongated circle). That is, perimeter of an ellipse
= (16 a2 +2462)
= 2v (2a)2 +6 ba
... (15)
where a and b are the semi major and minor axes. From (15) it is clear that the GSS rectification of an ellipse is equivalent to considering half of the ellipse (being bisected by the major axis) to be segment of a circle with
c=2a and h =b
This technique of empirical generalization has been further used to find the area of an ellipse by an analogous rule for a circlell.
11 R. C. Gupta, 'Mahaviracarya on the Perimeter and Area of an Elipse' (GAIM
No. 9), The Mathematics Education, Vol. VIII, No. 1 (March, 1974), Sec. B, pp. 17-19.
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