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La "Nihaya al-sul fi tashih al-usul" d'Ibn al-Shatir: \'Edition, traduction et commentaire math\'ematique
This book is a critical edition of a treatise of astronomy by the syrian scholar Ibn al-Shatir (1304-1375). The arabic text has been established on the basis of several manuscript copies, and it hasExpand
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VÉNUS SELON IBN AL-ŠĀṬIR
  • Erwan Penchèvre
  • Philosophy, Mathematics
  • Arabic Sciences and Philosophy
  • 14 June 2016
Abstract We attempt to grasp the mathematics behind the planetary theories of the Syrian astronomer Ibn al-Šāṭir (1304–1375) in his treatise Nihāyat al-Sūl. Following the astronomers of the MarāghaExpand
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IBN AL-HAYTHAM ET LE MOUVEMENT D'ENROULEMENT
Abstract In the Almagest, Ptolemy proposed the concept of winding motion, especially to explain planetary latitudes. Ibn al-Haytham (beginning 11th c.) wrote a treatise entitled Fī ḥarakatExpand
Etienne B\'ezout on Elimination Theory
B\'ezout's name is attached to his famous theorem. B\'ezout's Theorem states that the degree of the eliminand of a system a $n$ algebraic equations in $n$ unknowns, when each of the equations isExpand
Justifying the ways of Etienne B\'ezout
B\'ezout's name is attached to his famous theorem. B\'ezout's Theorem states that the degree of the eliminand of a system a $n$ algebraic equations in $n$ unknowns, when each of the equations isExpand
UN LEMME D'ANALYSE DONT USE IBN AL-HAYTHAM EN GNOMONIQUE, DIOPTRIQUE ET CINÉMATIQUE CÉLESTE
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'sExpand
La th\'eorie arithm\'etique des grandeurs alg\'ebriques de Kronecker (1882)
This article attempts at a linear historical and mathematical commentary of Kronecker's programmatic memoir "Grundz\"uge einer arithmetischen Theorie der algebraischen Gr\"ossen" (1882).