Ganitasara Sangraha

Author(s): Mahaviracharya, M Rangacharya
Publisher: Government of Madras

Page 451

254
GANITASĀRASANGRAHA.
the specified variety). The values of the sides of this optionall., chosen figure) should be multiplied by the resulting quotient (arrived at as mentioned above). Thus, the numerical values of the sides of the figure produced in the given circle) are deduced.
Examples in illustration thereof.
2221. The diameter of a circular figure is 13. O friend, think out well and tell me the (various measurements relating to the) eight different kinds of figures beginning with the square which are (inscribed) in this (circle).
The role for arriving at the value of the diameter of the circular figure inscribed within the various kinds of quadrilateral and trilateral) figures mentioned before, with the exception of the longish quadrilateral figure, when the accurate measure of the area and the numerical value of the perimeter are known in relation to those same) quadrilateral and other figures :--
2231. The (known) accurate measure of the area of any of the figures other than the longish quadrilateral figure should be divided by a quarter of the numerical value of the perimeter (of that figure). The result is pointed out to be the diameter of the circle inscribed within that figure.
Examples in illustration thereof.
2247. Having drawn the inscribed circle in relation to the already specified figures beginning with the square, O you who know the secret of calculation, give out now (the value of the diameter of each such inscribed circle).
223. If a represents the sum of the sides, and d the diarreter of the inscribed oircle, and A the area of the quadrilateral or the triangle in which the circle is insoribed, then
X = 22
Hence the formula given in the rule in d=1;