UID:
edocfu_9958353373802883
Format:
1 online resource(viii,706p.) :
,
illustrations.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter, 2015. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9781501502385
Series Statement:
Scientia Graeco-Arabica; 17
Content:
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.
Note:
Frontmatter --
,
Sommaire --
,
Introduction --
,
Chapitre I. Angle et Angle de Contingence --
,
Chapitre II. Nouvelles Recherches Géométriques sur L’Angle --
,
Chapitre III. Recherches Philosophico-Géométriques sur L’Angle --
,
Chapitre IV. L’Angle Solide --
,
Chapitre V. La Comparabilité des Grandeurs, la Comparabilité des Angles --
,
Conclusion --
,
Appendice: La traduction de Ḥunayn ibn Isḥāq des définitions du livre XI des Éléments.
,
Also available in print edition.
,
In French, Arabic.
Additional Edition:
ISBN 9781501510700
Additional Edition:
ISBN 9781501502392
Language:
French
DOI:
10.1515/9781501502385
URL:
https://doi.org/10.1515/9781501502385
