03702nam 2200697 450 991079714000332120231006154655.01-5015-0238-71-5015-0240-910.1515/9781501502385(CKB)3710000000420349(EBL)2056396(SSID)ssj0001516421(PQKBManifestationID)11845160(PQKBTitleCode)TC0001516421(PQKBWorkID)11495032(PQKB)11224955(DE-B1597)450862(OCoLC)979954637(DE-B1597)9781501502385(Au-PeEL)EBL2056396(CaPaEBR)ebr11059847(CaONFJC)MIL808187(OCoLC)910447352(MiAaPQ)EBC2056396(PPN)187985456(EXLCZ)99371000000042034920150610h20152015 uy 0freur|n|---|||||txtrdacontentcrdamediacrrdacarrierAngles et grandeur d'Euclide à kamal al-din al-farisi /Roshdi RashedBerlin, Germany ;Boston, Massachusetts :De Gruyter,2015.©20151 online resource (714 pages)Scientia Graeco-Arabica,1868-7172 ;Band 17.Description based upon print version of record.1-5015-0239-5 1-5015-1070-3 Includes bibliographical references and index.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 ÉlémentsFrom 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.Scientia Graeco-Arabica ;Band 17.Angles (Geometry)HistoryTo 1500Mathematics, GreekEarly works to 1800Mathematics, ArabEarly works to 1800History of mathematics.Angles (Geometry)HistoryMathematics, GreekMathematics, Arab516.15Rāshid Rushdī745318MiAaPQMiAaPQMiAaPQBOOK9910797140003321Angles et grandeur2841964UNINA