1.

Record Nr.

UNINA9910797140003321

Autore

Rāshid Rushdī

Titolo

Angles et grandeur : d'Euclide à kamal al-din al-farisi / / Roshdi Rashed

Pubbl/distr/stampa

Berlin, Germany ; ; Boston, Massachusetts : , : De Gruyter, , 2015

©2015

ISBN

1-5015-0238-7

1-5015-0240-9

Descrizione fisica

1 online resource (714 pages)

Collana

Scientia Graeco-Arabica, , 1868-7172 ; ; Band 17.

Disciplina

516.15

Soggetti

Angles (Geometry) - History - To 1500

Mathematics, Greek

Mathematics, Arab

Lingua di pubblicazione

Francese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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

Sommario/riassunto

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.