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Mathematics in Ancient and Medieval India c8.s1.1

Mathematics in Ancient and Medieval India c8.s1.1

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English

c8.s1.1

No problem of spherical trigonometry has been directly discussed by the ancient Indian astronomers. Nevertheless, we find in the *Sūryasiddhānta* and *Āryabhaṭīya* of Āryabhaṭa I certain expressions in connection with the solution of astronomical problems. The values of those expressions could not be deduced without the knowledge of spherical trigonometry.² This is demonstrated by the following formulae relating to sines and cosines of angles of a spherical triangle involving those expressions :

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