Title :

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

Author(s) :

Vitrac, Bernard [Auteur]
Anthropologie et Histoire des Mondes Antiques [ANHIMA]
Centre National de la Recherche Scientifique [CNRS]
Djebbar, Ahmed [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Sciamvs

Pages :

29-158

Publication date :

2011

Keyword(s) :

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

English keyword(s) :

Euclid
Book XIV
Book XV
direct tradition
indirect tradition
arabic translations
arabo-latin translations
Adelard of Bath
Gerard of Cremona
Campanus of Novara

HAL domain(s) :

Sciences de l'Homme et Société/Histoire, Philosophie et Sociologie des sciences

English abstract : [en]

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 ...
Show more >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).Show less >

Language :

Français

Popular science :

Non

Comment :

L'étude était trop longue pour être publiée en une seule fois. La seconde partie est éditée dans SCIAMVS, 13 (2012), 3-156.

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL