Mathematics in Ancient and Medieval India c6.s10.15

c6.s10.15

This shows that the quadrilateral ABCD is cyclic and the radius is (c₁ c₂)/2. The result is obvious from Brahmagupta's conception of forming a scalene triangle by joining two right-triangles. Brahmagupta gives another set of solution, i.e. c₁ (a₂, b₂), c₂ (a₁, b₁) or c₁ a₂, c₁ b₂, c₂ a₁, c₂ b₁ are lateral was indeed a notable achievement in this field. An instance of constructing a quadrilateral by Brahmagupta's method is given by Pṛthudakasvāmīn¹ (c. 850 A. D.) and Śrīdhara² (c. 900 A. D.). Bhāskara II³ (1150 A. D.) reproduced the method of Brahmagupta.