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Mathematics in Ancient and Medieval India c6.s9.53

Mathematics in Ancient and Medieval India c6.s9.53

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c6.s9.53

(d) *Diagonals of a quadrilateral* are given by Brahmagupta¹ (628 A. D.), Mahāvīra² (c. 850 A. D.) and Bhāskara II³ (c. 1150 A. D.). They gave the following lengths of the diagonals of a quadrilateral in terms of the given sides, which is valid only for a cyclic quadrilateral. If a, b, c, d be the sides in order, and d₁ and d₂ be the two diagonals, then: