________________ 314 आ. शांतिसागरजी जन्मशताब्दि स्मृतिग्रंथ (2) Area of ABC is Vs(s-a)(s-b)(s-c) where 28 = a + b + c. (3) The area and the diagonals of a quadrilateral ABCD are: V (S-a)(s-b)(s-c)(s-d) where 2s = a +b+c+d: V (ac + bd) (ab + cd) V (ac+bd) (ad + bc) ad + bc ab+cd. It is unfortunate that both Mahaviracharya and his predecessor Brahmagupta made the common mistake of pot mentioning the fact that these formulas hold for cyclic quadrilaterals only. (4) = 3 or v 10 (5) The circumference of an ellipse whose major and minor axes are of lengths 2a and 2b is 24 b9 +16 ao which redues to 2 nt a V1-e' where e is the eccentricity. It is difficult to imagine, how Mahaviracharya could attain such a close apprximation without the help of the powerful tools available to us. [ By the Courtesy of Jain Sanskrati Sanrakshak Sangh, Sholapur.] Jain Education International For Private & Personal Use Only www.jainelibrary.org
