Brahmagupta was the foremost Indian mathematician of his time. He made advances in astronomy and most importantly in number systems including algorithms for square roots and the solution of quadratic equations. He gave remarkable formulae for the area of a cyclic quadrilateral Brahmagupta - area of quadr...
and the lengths of the diagonals in terms of the sides. The only debatable point here is that he does not state that the formulae are only true for cyclic quadrilaterals so some historians claim it to be an error while others claim that he meant the rules to apply only to cyclic
quadrilaterals.He was an Indian mathematician who worked in the 7th century and left (among many other discoveries) a generalization of Heron's formula. It is interesting to note that Heron's formula is an easy consequence of Brahmagupta. To see that suffice it to let one of the
sides of the quadrilateral vanish. On the other hand, Heron's formula serves as an essential ingredient of the proof of Brahmagupta's formula

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