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SERENUS D'ANTINOË DANS LA TRADITION GRÉCO-ARABE DES CONIQUES

  • Thomas Auffret (a1)
Abstract
Abstract

Mainly based on the study of a hitherto neglected epigraphic document from Antinoë, the present article aims at showing that the geometer Serenus – the author of two treatises On the Section of a Cylinder and On the Section of a Cone – lived at the beginning of the 3rdcentury AD. On the ground of a renewed study of various elements taken both from the treatises and the indirect tradition, it also suggests that Serenus must be placed among a scientific tradition closely linking geometry of conics and catoptrics that can be traced back to the works of Conon of Samos and Pythion of Thasos. This hypothesis raises the problem of the nature of his alleged Platonism, which is examined in relation to Menaechmus' heterodox constructivism. Finally, the study of an element in the Arabic transmission of the treatise on Conics by Apollonius enables us to clarify some point regarding the textual tradition of the treatises On the Section of a Cylinder and On the Section of a Cone.

Résumé

L'étude d'un document épigraphique antinoïte, jusqu'ici négligé, suggère que le géomètre Serenus, auteur de deux traités Sur la section du cylindre et Sur la section du cône, vivait au début du IIIe siècle. Le réexamen plus précis d'un certain nombre d'éléments tirés tant des traités de Serenus que de la tradition indirecte permet de faire de celui-ci le continuateur tardif d'une tradition de recherches sur les coniques très liée à la catoptrique, remontant aux travaux pré-apolloniens sur la question menés autour de Conon de Samos et de Pythion de Thasos. Cette hypothèse pose, corrélativement, le problème de la nature du platonisme de Serenus: on l'examine à la lumière du constructivisme de Ménechme. Enfin, la prise en compte d'un détail de la tradition arabe des Coniques d'Apollonius permet de préciser un élément dans la transmission textuelle des deux traités de Serenus.

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Email: Thomas.Auffret@malix.univ-paris1.fr
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Arabic Sciences and Philosophy
  • ISSN: 0957-4239
  • EISSN: 1474-0524
  • URL: /core/journals/arabic-sciences-and-philosophy
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