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Géométrie et philosophie des mathématiques au Xe siÚcle
Ćuvre mathĂ©matique d'al-SijzÄ«. Volume II
Roshdi Rashed, Pascal Crozet, Roshdi Rashed, Pascal Crozet
- 895 pages
- French
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Géométrie et philosophie des mathématiques au Xe siÚcle
Ćuvre mathĂ©matique d'al-SijzÄ«. Volume II
Roshdi Rashed, Pascal Crozet, Roshdi Rashed, Pascal Crozet
Ă propos de ce livre
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.
Foire aux questions
Informations
Table des matiĂšres
- SOMMAIRE
- AVANT-PROPOS
- CHAPITRE 1 INTRODUCTION
- CHAPITRE 2 LES OBJETS ET LâART DE LA GĂOMĂTRIE
- CHAPITRE 3 AL-SIJZÄȘ ET LES ĂLĂMENTS DâEUCLIDE
- CHAPITRE 4 RECHERCHES EN GĂOMĂTRIE PLANE
- I. UNE ANTHOLOGIE DE PROBLĂMES
- 2. Textes et traductions
- 2.1. Anthologie de problĂšmes
- 2.2. Acquisition de lois géométriques déterminées
- 2.3. Sur les propriétés du carré du diamÚtre du cercle
- 2.4. Inscrire un hexagone dans un carré et un carré dans un hexagone
- Chapitre 5 : La division des figures
- Appendices
- GLOSSAIRE DES CONCEPTS GĂOMĂTRIQUES (COMPLĂMENTS)
- INDEX DES NOMS PROPRES
- INDEX DES TRAITĂS CITĂS
- INDEX DES MANUSCRITS
- BIBLIOGRAPHIE