"Arya-Bhata... is frequently quoted by , and... many commentators [write that] he created algebraic analysis though it has been suggested that he may have seen Diophantus’s Arithmetic. ...[H]is Aryabhathiya... consists of the enunciations of... rules and propositions... in verse. There are no proofs, and the language is... obscure and concise... [I]t long defied all efforts to translate it. The book is divided into four parts: of these three are devoted to astronomy and the elements of spherical trigonometry; the remaining part... enunciations of thirty-three rules in arithmetic, algebra, and plane trigonometry. It is probable that Arya-Bhata, like and Bhaskara... regarded himself as an astronomer, and studied mathematics only so far as... was useful... in his astronomy. ...In trigonometry he gives a table of natural sines of the angles in the first quadrant, proceeding by multiples of 3 3/4° defining a sine as the semichord of double the angle. ...A large proportion of the geometrical propositions which he gives are wrong."
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Resources 1) ed., H. Kern, Sanskrit text of Aryabhathiya (1874); 2) H. Kern article, Journal of the Asiatic Society, London, 1863, Vol. XX., pp. 371-387. 3) L. Rodet, French translation of algebra & trigonometry portion, Journal Asiatique (1879) Series 7, Vol. XIII., pp. 393-434.
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History of trigonometry
begins with the early study of triangles, traced to the , in () and . Trigonometry was also prevalent in Kushite mathematics.
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