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Le Livre XIV des Éléments d'Euclide : versions grecques et arabes (première partie)

Abstract : In this paper we publish and translate three versions of the so-called Book XIV of Euclid's Elements : one in Greek, two in arabic. This book deals with the comparison of two of the regular polyhedra, dodecaedron and icosahedron. It derives from a monography by Hypsicles, a geometer who lived in the first half of the second century B.C. We examine the history of this text from Antiquity to Middle-Ages, arabic and latin, its relationships with Euclid, Apollonius, Aristaios and Pappus. We compare the different versions, Greek, Arabic and arabo-Latin and we try to understand the very complex processus of transmission. As a study case, it can help also for the history of the transmission of Euclid's Elements themselves. The first part contains the general history of Book XIV-XV and the Greek tradition of Book XIV and his scholia (Greek text, french translation).
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https://hal.archives-ouvertes.fr/hal-00655851
Contributor : Bernard Vitrac <>
Submitted on : Monday, January 2, 2012 - 7:44:06 PM
Last modification on : Tuesday, January 19, 2021 - 11:08:43 AM

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  • HAL Id : hal-00655851, version 1

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Bernard Vitrac, Ahmed Djebbar. Le Livre XIV des Éléments d'Euclide : versions grecques et arabes (première partie). Sciamvs, 2011, 12, pp.29-158. ⟨hal-00655851⟩

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