Apollonius de Perge, Coniques : : Texte grec et arabe etabli, traduit et commenté. / Tome 4, : Livres VI et VII. Commentaire historique et mathématique, édition et traduction du texte arabe / / Roshdi Rashed.
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 expo...
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| Superior document: | Title is part of eBook package: De Gruyter DGBA Philosophy 2000 - 2014 |
|---|---|
| VerfasserIn: | |
| HerausgeberIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2009] ©2009 |
| Year of Publication: | 2009 |
| Language: | French |
| Series: | Scientia Graeco-Arabica ,
1/4 |
| Online Access: | |
| Physical Description: | 1 online resource (572 p.) |
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| 100 | 1 | |a Apollonius de Perge, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Apollonius de Perge, Coniques : |b Texte grec et arabe etabli, traduit et commenté. |n Tome 4, |p Livres VI et VII. Commentaire historique et mathématique, édition et traduction du texte arabe / |c Roshdi Rashed. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2009] | |
| 264 | 4 | |c ©2009 | |
| 300 | |a 1 online resource (572 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Scientia Graeco-Arabica , |x 1868-7172 ; |v 1/4 | |
| 505 | 0 | 0 | |t Frontmatter -- |t SOMMAIRE -- |t SIGLA -- |t PREMIÈRE PARTIE: LE SIXIÈME LIVRE DES CONIQUES -- |t SUPERPOSITION, ÉGALITÉ ET SIMILITUDE DES FIGURES CONIQUES -- |t 1. INTRODUCTION -- |t 2. LES DÉFINITIONS -- |t 3. L'ÉGALITÉ ET L'INÉGALITÉ DES SECTIONS CONIQUES -- |t 4. LA SIMILITUDE DES SECTIONS CONIQUES -- |t 5. SEGMENTS SEMBLABLES -- |t 6. PROBLÈMES DE CONSTRUCTION -- |t 7. DÉTERMINATION D'UN CÔNE DROIT SEMBLABLE À UN CÔNE DONNÉ ET QUI ENTOURE UNE SECTION CONIQUE DONNÉE -- |t 8. LE SIXIÈME LIVRE ET LA GÉOMÉTRIE PROTO-TRANSFORMATIONNELLE -- |t TEXTE ET TRADUCTION -- |t SECONDE PARTIE: LE SEPTIÈME LIVRE DES CONIQUES -- |t VARIATIONS ET DIORISMES -- |t 1. INTRODUCTION -- |t 2. LEMMES PRÉPARATOIRES -- |t 3. RELATIONS ENTRE LES PARAMÈTRES INITIAUX ET DE NOUVEAUX PARAMÈTRES: RELATIONS MÉTRIQUES FONDAMENTALES -- |t 4. VARIATION DES GRANDEURS ASSOCIÉES AUX PARAMÈTRES d, d', C, c' -- |t 5. ÉTUDE ANALYTIQUE DE LA VARIATION DES GRANDEURS ASSOCIÉES à d, d', C, c' -- |t TEXTE ET TRADUCTION -- |t Backmatter |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 520 | |a Buch VI der Kegelschnitte ist wesentlich der Frage der Gleichheit und Ähnlichkeit zweier Kegelschnitte oder zweier Teile von Kegelschnitten gewidmet. In Buch VII behandelt Apollonius die vielfältigen Relationen zwischen den Längen der Durchmesser und ihrer konjugierter Durchmesser sowie den zugehörigen rechten Schenkeln. Die Ergebnisse werden in vielen Problemexpositionen verwendet, ebenso wie in jenen Problemen, für deren Darstellung und Lösung er auf das seit der Antike verlorene Buch VIII verweist. Die beiden Bücher sind nur durch die arabische Übersetzung erhalten. Hier werden sie in einer kritischen Edition zur Verfügung gestellt, mitsamt einer textnahen Übersetzung und einem historisch-mathematischen Kommentar. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In French. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
| 650 | 0 | |a Conic sections |v Early works to 1800. | |
| 650 | 0 | |a Conic sections |x Early works to 1800. | |
| 650 | 0 | |a Mathematics, Greek |v Early works to 1800. | |
| 650 | 0 | |a Mathematics, Greek |x Early works to 1800. | |
| 650 | 4 | |a Apollonius von Perge. | |
| 650 | 4 | |a Kegelschnitt. | |
| 650 | 4 | |a Mathematik /i.d. Antike. | |
| 650 | 7 | |a PHILOSOPHY / History & Surveys / Ancient & Classical. |2 bisacsh | |
| 653 | |a Apollonius of Perge. | ||
| 653 | |a Conic Section. | ||
| 653 | |a Mathematics/in Antiquity. | ||
| 700 | 1 | |a Rashed, Roshdi, |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Philosophy 2000 - 2014 |z 9783110636949 |o ZDB-23-GPH |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2009 |z 9783110219517 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PAKET ALTERTUM 2009 |z 9783110219456 |o ZDB-23-DGD |
| 776 | 0 | |c print |z 9783110199406 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110217322 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110217322 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110217322/original |
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