Erwan Penchèvre

Publications7
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Citations2
Highly Influential Citations1
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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 has… Expand
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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 Marāgha… Expand
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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 ḥarakat… Expand
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 is… Expand
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 is… Expand
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's… Expand
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).