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

By Bernard Vitrac and Ahmed Djebbar

Abstract

L'étude était trop longue pour être publiée en une seule fois. La première partie a été éditée dans SCIAMVS, 12 (2011), 29-158.International audienceIn 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 second part contains the Arabic tradition of Book XIV (editions and french translations of two arabic versions, one quite similar to Greek, another one with editorial reworking) and a complete comparison of the different versions

Topics: Euclid, Book XIV, Book XV, direct tradition, indirect tradition, arabic translations, arabo-latin translations, Adelard of Bath, Gerard of Cremona, Campanus of Novara, Eléments, Euclide, Hypsiclès, Apollonius, Pappus, Livre XIV, Livre XV, Qustâ ibn Lûqâ, tradition directe, tradition indirecte, traductions arabes, traductions arabo-latines, Adélard de Bath, Gérard de Crémone, compendium, Campanus de Novare, al-Maghribî, [ SHS.HISPHILSO ] Humanities and Social Sciences/History, Philosophy and Sociology of Sciences
Publisher: HAL CCSD
Year: 2012
OAI identifier: oai:HAL:hal-00746917v1
Provided by: Hal-Diderot
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