Al-Jayyani

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Abu Abd Allah Muhammad ibn Muadh Al-Jayyani, shortened to Al-Jayyani (b. 989, Cordova, Al-Andalus – d. 1079, Jaen, Al-Andalus) was an Arab mathematician from Al-Andalus (in present-day Spain). Al-Jayyani wrote important commentaries on Euclid's Elements and he wrote the first treatise on spherical trigonometry. Little is known about his life. Confusion exists over the identity of Al-Jayyani the scholar and Al-Jayyani the mathematician. It is unknown whether they are the same person.

Al-Jayyani wrote the first treatise on spherical trigonometry, entitled The book of unknown arcs of a sphere, which "contains formulae for right-handed triangles, the general law of sines, and the solution of a spherical triangle by means of the polar triangle." This treatise later had a "strong influence on European mathematics", and his "definition of ratios as numbers" and "method of solving a spherical triangle when all sides are unknown" are likely to have influenced Regiomontanus.[1]

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