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The book consists of 24 chapters with 1008 verses in the ārya metre. A good deal of it is astronomy, but it also contains key chapters on mathematics, including algebra, geometry, trigonometry and algorithmics, which are believed to contain new insights due to Brahmagupta himself. [9] [10] [11]
In geometry, Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular to a side from the point of intersection of the diagonals always bisects the opposite side. [1] It is named after the Indian mathematician Brahmagupta (598-668). [2]
The Brāhma-sphuṭa-siddhānta ("Correctly Established Doctrine of Brahma", abbreviated BSS) is a main work of Brahmagupta, written c. 628. [1] This text of mathematical astronomy contains significant mathematical content, including the first good understanding of the role of zero, rules for manipulating both negative and positive numbers, a method for computing square roots, methods of ...
In Euclidean geometry, Brahmagupta's formula, named after the 7th century Indian mathematician, is used to find the area of any convex cyclic quadrilateral ...
A primitive generalized Brahmagupta triangle is a generalized Brahmagupta triangle in which the side lengths have no common factor other than 1. [ 12 ] To find the side lengths of such triangles, let the side lengths be t − d , t , t + d {\displaystyle t-d,t,t+d} where t , d {\displaystyle t,d} are integers satisfying 1 ≤ d ≤ t ...
Chapter five overlaps in time with the later parts of chapter four, and concerns the works of Aryabhata, Bhāskara I, and Brahmagupta, and Mahāvīra, and the Bakhshali manuscript, including the invention of negative numbers and algebra, Brahmagupta's formula for the area of cyclic quadrilaterals, and the solution of Pell's equation.