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Apollonius de Perge, Coniques. Tome 4, Livres VI et VII, Commentaire historique et mathématique, édition et traduction du texte arabe : texte grec et arabe

Author: Apollonius, of Perga.; Rushdī Rāshid
Publisher: Berlin ; New York : W. de Gruyter, ©2009.
Series: Scientia Graeco-Arabica, v. 1.
Edition/Format:   eBook : Document : FrenchView all editions and formats
Database:WorldCat
Summary:
Book VI of the Konika is essentially devoted to the question of the identity and similarity of two conic sections, or two parts of conic sections. In Book VII Apollonius deals with the various relationships between the lengths of diameters and conjugate diameters. The results are applied to the exposition of a number of problems, as well as to some problems which Apollonius indicates will be demonstrated and solved  Read more...
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Genre/Form: Electronic books
Early works
Early works to 1800
Additional Physical Format: Print version:
Apollonius, of Perga.
Apollonius de Perge, Coniques.
Berlin ; New York : W. de Gruyter, ©2008-<c2009>
(DLC) 2008468868
(OCoLC)299380170
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Apollonius, of Perga.; Rushdī Rāshid
ISBN: 9783110217322 3110217325
OCLC Number: 614423002
Language Note: Text in Arabic and Greek with French translation of facing pages; introductions, commentaries, and notes in French.
Description: 1 online resource (x, 572 pages) : illustrations.
Contents: Frontmatter; SOMMAIRE; TEXTE ET TRADUCTION; 1. INTRODUCTION; 2. LES DÉFINITIONS; 3. L'ÉGALITÉ ET L'INÉGALITÉ DES SECTIONS CONIQUES; 4. LA SIMILITUDE DES SECTIONS CONIQUES; 5. SEGMENTS SEMBLABLES; 6. PROBLÈMES DE CONSTRUCTION; 7. DÉTERMINATION D'UN CÔNE DROIT SEMBLABLE À UN CÔNE DONNÉ ET QUI ENTOURE UNE SECTION CONIQUE DONNÉE; 8. LE SIXIÈME LIVRE ET LA GÉOMÉTRIE PROTO-TRANSFORMATIONNELLE; TEXTE ET TRADUCTION; 1. INTRODUCTION; 2. LEMMES PRÉPARATOIRES; 3. RELATIONS ENTRE LES PARAMÈTRES INITIAUX ET DE NOUVEAUX PARAMÈTRES: RELATIONS MÉTRIQUES FONDAMENTALES. 4. VARIATION DES GRANDEURS ASSOCIÉES AUX PARAMÈTRES d, d/, C, c/5. ÉTUDE ANALYTIQUE DE LA VARIATION DES GRANDEURS ASSOCIÉES À d, d/, C, c/; Backmatter.
Series Title: Scientia Graeco-Arabica, v. 1.
Other Titles: Kōnika.
Coniques
Commentaire historique et mathématique, édition et traduction du texte arabe
Responsibility: établi, traduit et commenté sous la direction de Roshdi Rashed.

Abstract:

Book VI of the Konika is essentially devoted to the question of the identity and similarity of two conic sections, or two parts of conic sections. In Book VII Apollonius deals with the various relationships between the lengths of diameters and conjugate diameters. The results are applied to the exposition of a number of problems, as well as to some problems which Apollonius indicates will be demonstrated and solved in Book VIII, which was lost in Antiquity. Books VI and VII have only survived in an Arabic translation, and are presented here in a critical edition, together with a faithful trans.

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