Angles et Grandeur: D'Euclide à Kamal al-Din al-Farisi

Roshdi Rashed

Published by De Gruyter 2015

Angles et Grandeur

D'Euclide à Kamal al-Din al-Farisi

Angles and measurement from Euclid to Kamal Al-Din Al-Farisi

Roshdi Rashed

Volume 17 in the series Scientia Graeco-Arabica

https://doi.org/10.1515/9781501502385

Overview
Contents

About this book

From Antiquity until recently, philosophers and mathematicians have continually discussed the concept of angle and its relation to archimedean and non-archimedean theories of measurement. For the first time, this book traces the history of these discussions in Greek and Arabic, from Euclid to Kamāl al-Dīn al-Fārisī, after whom the discussion was not resumed until Newton and Euler. The volume presents first editions of over twenty texts, either in Arabic or Greek and translated into Arabic, of the greatest mathematicians and philosophers of the time. The texts are here translated into French and supplemented with extensive commentary. The book begins with the definitions and propositions of Euclid on angles and measurement, followed by the Greek commentary tradition represented by Proclus and Simplicius (only extant in Arabic) and the writings of the Arabic mathematicians and philosophers from the 9th through 14th century, placing the fundamental contributions by Avicenna and Ibn al-Haytham into their historical context and showing how numerous successors produced new syntheses of their work.

Cet ouvrage fournit la première étude de référence consacrée à l'histoire du concept d'angle (angle rectiligne, angle curviligne, angle de contingence, angle solide) d'Euclide aux mathématiques arabes classiques. Il comprend l'édition critique, la traduction et le commentaire d'écrits de mathématiciens et de philosophes grecs et arabes, tels qu'Euclide, Simplicius, al-Nayr?z?, Avicenne, Ibn a-Haytham, al-Tusi, al-Shirazi, al-Farisi.

2016 awarded with the "Arab Culture in Other Languages Award"

Author / Editor information

Roshdi Rashed, Centre national de la recherche scientifique (CNRS), Paris, France.

Topics

Frontmatter Publicly Available Download PDF	I
Sommaire Publicly Available Download PDF	VII
Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapitre I. Angle et Angle de Contingence Requires Authentication Unlicensed Licensed Download PDF	7
Chapitre II. Nouvelles Recherches Géométriques sur L’Angle Requires Authentication Unlicensed Licensed Download PDF	87
Chapitre III. Recherches Philosophico-Géométriques sur L’Angle Requires Authentication Unlicensed Licensed Download PDF	149
Chapitre IV. L’Angle Solide Requires Authentication Unlicensed Licensed Download PDF	305
Chapitre V. La Comparabilité des Grandeurs, la Comparabilité des Angles Requires Authentication Unlicensed Licensed Download PDF	439
Conclusion Requires Authentication Unlicensed Licensed Download PDF	607
Appendice: La traduction de Ḥunayn ibn Isḥāq des définitions du livre XI des Éléments Requires Authentication Unlicensed Licensed Download PDF	611

(Deutsch)

Languages: French, Arabic
Publisher: De Gruyter
Audience: Historians of mathematics and history, Arabic scholars
Pages
- Front matter: 8
- Main content: 706
Keywords: History of mathematics

eBook

Published: May 19, 2015
ISBN: 9781501502385

Hardcover

Published: April 24, 2015
ISBN: 9781501510700