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UN LEMME D'ANALYSE DONT USE IBN AL-HAYTHAM EN GNOMONIQUE, DIOPTRIQUE ET CINÉMATIQUE CÉLESTE

Published online by Cambridge University Press:  30 January 2019

Erwan Penchèvre
Erwan Penchèvre*
Affiliation:
Laboratoire SPHERE, UMR 7219, université Paris Diderot – CNRS
*
Email : [email protected]
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Abstract

In several places and for different purposes, Ibn al-Haytham has studied the variations of a well-known function. The context of these applications reveals some characteristics of Ibn al-Haytham's mathematical and physical thought. An in-depth study of his mathematical proofs of monotony show how close he was from an elaborate concept of the continuous.

Résumé

À plusieurs reprises et poursuivant des buts distincts, Ibn al-Haytham a déterminé les variations d'une fonction bien connue aujourd'hui. Le contexte de ces applications révèle certaines caractéristiques de la pensée mathématique et physique de ce savant. Une étude précise de ses démonstrations mathématiques de monotonie suggère combien il a pu approcher d'un concept élaboré du continu.

Type
Research Article
Information
Arabic Sciences and Philosophy , Volume 29 , Issue 1 , March 2019 , pp. 133 - 156
Copyright
Copyright © Cambridge University Press 2019 

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