The ceLestial kinematics of Ibn al-haythamthis article is an English translation of a slightly modified version of the introduction in my most recent book, Les mathématiques infinitésimaLes du ixe au Xie siècle. Vol. V: Ibn al-haytham: Astronomie, géométrie sphérique et trigonométrie . I am grateful to J. V. field for translating this article from French into English, and for making comments that led to improvements in the text. It goes without saying that I alone am responsible for any remaining errors.: The ceLestial kinematics of Ibn al-haytham [Book Review]

Arabic Sciences and Philosophy 17 (1):7-55 (2007)
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Abstract

After having reformulated optics, Ibn al-Haytham conceived of an analogous project for astronomy. This has just been revealed by an important book by the mathematician which has never been studied until now. Ibn al-Haytham's reform consists in excluding all cosmology, and in developing a systematic study of a celestial kinematics that has been completely geometrized. In turn, the realization of such a reform demanded innovative research in infinitesimal geometry. In this article, an attempt is made to present this new geometry, as well as the mathematical means invented to elaborate it.

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10.1017/s0957423907000355

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