Menelaus' ›Spherics‹: Early Translation and al-Māhānī / al-Harawī's Version

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Walter de Gruyter GmbH & Co KG, Oct 23, 2017 - Philosophy - 888 pages

Despite its importance in the history of Ancient science, Menelaus’ Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus’ treatise. With this book, a new and important part of the Greek and Arabic legacy to the history of mathematics comes to light. This book will be an indispensable acquisition for any reader interested in the history of Ancient geometry and science and, more generally, in Greek and Arabic science and culture.

 

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Contents

PART I
3
THE REDACTION OF THE SPHERICS BY ALMĀHĀNĪ AND ALHARAWĪ
23
AN ELEVENTHCENTURY WITNESS OF THE TRANSLATIONS OF THE SPHERICS IBN HŪD
73
EDITION AND TRANSLATION OF MENELAUS PROPOSITIONS QUOTED IN IBN HŪDS ENCYCLOPEDIA
91
MATHEMATICAL COMMENTARY
125
THE PROPOSITIONS
139
TEXTS AND TRANSLATIONS
399
Menelaus Treatise on the Spherics
485
The Treatise of Menelaus on the Spherical Figures
779
BIBLIOGRAPHY
827
ARABICENGLISH GLOSSARY
839
INDEXES
865
Copyright

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About the author (2017)

Roshdi Rashed, UniversitÚ Paris / University of Tokyo; Athanase Papadopoulos, UniversitÚ de Strasbourg.