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THE CELESTIAL KINEMATICS OF IBN AL-HAYTHAM

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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.
Cambridge University Press (CUP)
Title: THE CELESTIAL KINEMATICS OF IBN AL-HAYTHAM
Description:
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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