Menelaus' ›Spherics‹ : : Early Translation and al-Māhānī / al-Harawī's Version / / Roshdi Rashed, Athanase Papadopoulos.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1
• VerfasserIn: Rashed, Roshdi,; Papadopoulos, Athanase,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2017]; ©2017
• Year of Publication: 2017
• Language: English
• Series: Scientia Graeco-Arabica , 21
• Physical Description: 1 online resource (XIV, 874 p.)

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.

Table of Contents

Frontmatter -- FOREWORD -- TABLE OF CONTENTS -- INTRODUCTION -- PART I -- CHAPTER 1: MENELAUS AND HIS WRITINGS -- CHAPTER 2: THE REDACTION OF THE SPHERICS BY AL-MĀHĀNĪ AND AL-HARAWĪ -- CHAPTER 3: AN ELEVENTH-CENTURY WITNESS OF THE TRANSLATIONS OF THE SPHERICS: IBN HŪD -- EDITION AND TRANSLATION OF MENELAUS’ PROPOSITIONS QUOTED IN IBN HŪD’S ENCYCLOPEDIA -- PART II: MATHEMATICAL COMMENTARY -- CHAPTER 1: THE MATHEMATICAL CONTENT OF THE SPHERICS -- CHAPTER 2: THE PROPOSITIONS -- PART III: TEXTS AND TRANSLATIONS -- CHAPTER 1: THE SPHERICS: A FRAGMENT OF AN ANCIENT TRANSLATION -- TEXT AND TRANSLATION -- CHAPTER 2. THE SPHERICS: THE VERSION OF AL-MĀHĀNĪ AND AL-HARAWĪ -- TEXT AND TRANSLATION -- POSTFACE: SPHERICAL GEOMETRY: A FEW MARKERS -- BIBLIOGRAPHY -- ARABIC-ENGLISH GLOSSARY -- INDEX OF NAMES -- INDEX OF WORKS -- INDEX OF MANUSCRIPTS