Géométrie et philosophie des mathématiques au Xe siècle: Œuvre mathématique d’al-Sijzī. Volume II

Published by De Gruyter 2023

Géométrie et philosophie des mathématiques au Xe siècle

Œuvre mathématique d’al-Sijzī. Volume II

Edited by: Roshdi Rashed and Pascal Crozet

Volume 35 in the series Scientia Graeco-Arabica

https://doi.org/10.1515/9783111172668

Overview
Contents

About this book

Al-Sijzī 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-Sijzī 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.

Author / Editor information

Roshdi Rashed and Pascal Crozet, CNRS, Paris, France.

Topics

Frontmatter Publicly Available Download PDF	1
SOMMAIRE Publicly Available Download PDF	5
AVANT-PROPOS Requires Authentication Unlicensed Licensed Download PDF	7
CHAPITRE 1 INTRODUCTION Requires Authentication Unlicensed Licensed Download PDF	9
CHAPITRE 2 LES OBJETS ET L’ART DE LA GÉOMÉTRIE Requires Authentication Unlicensed Licensed Download PDF	47
CHAPITRE 3 AL-SIJZĪ ET LES ÉLÉMENTS D’EUCLIDE Requires Authentication Unlicensed Licensed Download PDF	215
CHAPITRE 4 RECHERCHES EN GÉOMÉTRIE PLANE
I. UNE ANTHOLOGIE DE PROBLÈMES Requires Authentication Unlicensed Licensed Download PDF	459
2. Textes et traductions
2.1. Anthologie de problèmes Requires Authentication Unlicensed Licensed Download PDF	465
2.2. Acquisition de lois géométriques déterminées Requires Authentication Unlicensed Licensed Download PDF	739
2.3. Sur les propriétés du carré du diamètre du cercle Requires Authentication Unlicensed Licensed Download PDF	763
2.4. Inscrire un hexagone dans un carré et un carré dans un hexagone Requires Authentication Unlicensed Licensed Download PDF	777
Chapitre 5 : La division des figures Requires Authentication Unlicensed Licensed Download PDF	795
Appendices Requires Authentication Unlicensed Licensed Download PDF	841
GLOSSAIRE DES CONCEPTS GÉOMÉTRIQUES (COMPLÉMENTS) Requires Authentication Unlicensed Licensed Download PDF	869
INDEX DES NOMS PROPRES Requires Authentication Unlicensed Licensed Download PDF	875
INDEX DES TRAITÉS CITÉS Requires Authentication Unlicensed Licensed Download PDF	879
INDEX DES MANUSCRITS Requires Authentication Unlicensed Licensed Download PDF	887
BIBLIOGRAPHIE Requires Authentication Unlicensed Licensed Download PDF	889

(Deutsch)

Languages: French, Arabic
Publisher: De Gruyter
Audience: Islamwissenschaftler/-innen, Altertumswissenschaftler/-innen, Mathematiker/-innen
Pages
- Main content: 895
Keywords: Geometrie; Philosophiegeschichte; Al-Sijzi

eBook

Published: May 8, 2023
ISBN: 9783111172668

Hardcover

Published: May 8, 2023
ISBN: 9783111167947