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

Format:

Book

Author/Creator:

Rāshid, Rushdī, author.

Series:

Scientia Graeco-Arabica ; Band 17.

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

Language:

French

Subjects (All):

Angles (Geometry)--History--To 1500.

Angles (Geometry).

Mathematics, Greek--Early works to 1800.

Mathematics, Greek.

Mathematics, Arab--Early works to 1800.

Mathematics, Arab.

Physical Description:

1 online resource (714 pages)

Place of Publication:

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

Language Note:

French

Summary:

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.

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed June 10, 2015).

ISBN:

9781501502385

1501502387

9781501502408

1501502409

OCLC:

979954637