Nasir al-Din al-Tusi's 13th-century treatise presents a complete system of spherical trigonometric formulas with proofs based on the secant figure and Menelaus' theorem, along with historical details on its development by Arab mathematicians.
Rashed (ed.) Encyclopedia of the history of Arabic science, 3 vol- umes, Routledge, 1996
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Spherical trigonometry before the modern era:The treatise of Nasir al-Din al-Tusi
Nasir al-Din al-Tusi's 13th-century treatise presents a complete system of spherical trigonometric formulas with proofs based on the secant figure and Menelaus' theorem, along with historical details on its development by Arab mathematicians.