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Livres VI et VII. Commentaire historique et mathématique, édition et traduction du texte arabe
Roshdi Rashed, Roshdi Rashed
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eBook - PDF
Livres VI et VII. Commentaire historique et mathématique, édition et traduction du texte arabe
Roshdi Rashed, Roshdi Rashed
Book details
Table of contents
Citations
About This Book
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 translation and a historical-mathematical commentary.
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Table of contents
- Frontmatter
- SOMMAIRE
- 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/
- TEXTE ET TRADUCTION
- Backmatter
Citation styles for Livres VI et VII. Commentaire historique et mathématique, édition et traduction du texte arabe
APA 6 Citation
[author missing]. (2009). Livres VI et VII. Commentaire historique et mathématique, édition et traduction du texte arabe (1st ed.). De Gruyter. Retrieved from https://www.perlego.com/book/1155025/livres-vi-et-vii-commentaire-historique-et-mathmatique-dition-et-traduction-du-texte-arabe-pdf (Original work published 2009)
Chicago Citation
[author missing]. (2009) 2009. Livres VI et VII. Commentaire Historique et Mathématique, Édition et Traduction Du Texte Arabe. 1st ed. De Gruyter. https://www.perlego.com/book/1155025/livres-vi-et-vii-commentaire-historique-et-mathmatique-dition-et-traduction-du-texte-arabe-pdf.
Harvard Citation
[author missing] (2009) Livres VI et VII. Commentaire historique et mathématique, édition et traduction du texte arabe. 1st edn. De Gruyter. Available at: https://www.perlego.com/book/1155025/livres-vi-et-vii-commentaire-historique-et-mathmatique-dition-et-traduction-du-texte-arabe-pdf (Accessed: 14 October 2022).
MLA 7 Citation
[author missing]. Livres VI et VII. Commentaire Historique et Mathématique, Édition et Traduction Du Texte Arabe. 1st ed. De Gruyter, 2009. Web. 14 Oct. 2022.