Géométrie et philosophie des mathématiques au Xe siècle
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Géométrie et philosophie des mathématiques au Xe siècle

Œuvre mathématique d'al-Sijzī. Volume II

Roshdi Rashed, Pascal Crozet, Roshdi Rashed, Pascal Crozet

  1. 895 pages
  2. French
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Géométrie et philosophie des mathématiques au Xe siècle

Œuvre mathématique d'al-Sijzī. Volume II

Roshdi Rashed, Pascal Crozet, Roshdi Rashed, Pascal Crozet

Book details
Table of contents
Citations

About This Book

Al-Sijz? was a mathematician of the second half of the tenth century, a particularly fertile period for the history and philosophy of mathematics. He occupies a central place in a generation that, in particular, succeeded in renewing the methods of geometry and opening up new avenues of research in this field.

This book contains a critical edition of several of his writings on plane and solid geometry, thus enriching research in the history and philosophy of mathematics.

Al-Sijz? endeavours to identify the laws of geometry and, through a commentary on Euclid's books, to explain its principles. In the course of this work to elucidate the laws and concepts of the discipline, he also devoted essays to teaching, and others to the theory of demonstration. In addition, he kept up a rich correspondence with contemporary mathematicians, a living illustration of the mathematical research of his time.

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Information

Publisher
De Gruyter
Year
2023
ISBN
9783111172668

Table of contents

  1. SOMMAIRE
  2. AVANT-PROPOS
  3. CHAPITRE 1 INTRODUCTION
  4. CHAPITRE 2 LES OBJETS ET L’ART DE LA GÉOMÉTRIE
  5. CHAPITRE 3 AL-SIJZĪ ET LES ÉLÉMENTS D’EUCLIDE
  6. CHAPITRE 4 RECHERCHES EN GÉOMÉTRIE PLANE
  7. I. UNE ANTHOLOGIE DE PROBLÈMES
  8. 2. Textes et traductions
  9. 2.1. Anthologie de problèmes
  10. 2.2. Acquisition de lois géométriques déterminées
  11. 2.3. Sur les propriétés du carré du diamètre du cercle
  12. 2.4. Inscrire un hexagone dans un carré et un carré dans un hexagone
  13. Chapitre 5 : La division des figures
  14. Appendices
  15. GLOSSAIRE DES CONCEPTS GÉOMÉTRIQUES (COMPLÉMENTS)
  16. INDEX DES NOMS PROPRES
  17. INDEX DES TRAITÉS CITÉS
  18. INDEX DES MANUSCRITS
  19. BIBLIOGRAPHIE
Citation styles for Géométrie et philosophie des mathématiques au Xe siècle

APA 6 Citation

Rashed, R., Crozet, P., Rashed, R., & Crozet, P. (2023). Géométrie et philosophie des mathématiques au Xe siècle (1st ed.). De Gruyter. Retrieved from https://www.perlego.com/book/3948369 (Original work published 2023)

Chicago Citation

Rashed, Roshdi, Pascal Crozet, Roshdi Rashed, and Pascal Crozet. (2023) 2023. Géométrie et Philosophie Des Mathématiques Au Xe Siècle. 1st ed. De Gruyter. https://www.perlego.com/book/3948369.

Harvard Citation

Rashed, R. et al. (2023) Géométrie et philosophie des mathématiques au Xe siècle. 1st edn. De Gruyter. Available at: https://www.perlego.com/book/3948369 (Accessed: 24 June 2024).

MLA 7 Citation

Rashed, Roshdi et al. Géométrie et Philosophie Des Mathématiques Au Xe Siècle. 1st ed. De Gruyter, 2023. Web. 24 June 2024.