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

Roshdi Rashed; Athanase Papadopoulos

Published by De Gruyter 2017

Menelaus' ›Spherics‹

Early Translation and al-Māhānī / al-Harawī's Version

Roshdi Rashed and Athanase Papadopoulos

Volume 21 in the series Scientia Graeco-Arabica

https://doi.org/10.1515/9783110571424

Overview
Contents

About this book

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.

Author / Editor information

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

Reviews

"This is a definitive, monumental work on Menelaus's Spherics."
Victor V. Pambuccian in: Zentralblatt für Mathematik 1400.01002

Topics

Frontmatter Publicly Available Download PDF	i
FOREWORD Publicly Available Download PDF	v
TABLE OF CONTENTS Publicly Available Download PDF	vii
INTRODUCTION Publicly Available Download PDF	xi
PART I
CHAPTER 1: MENELAUS AND HIS WRITINGS Requires Authentication Unlicensed Licensed Download PDF	3
CHAPTER 2: THE REDACTION OF THE SPHERICS BY AL-MĀHĀNĪ AND AL-HARAWĪ Requires Authentication Unlicensed Licensed Download PDF	23
CHAPTER 3: AN ELEVENTH-CENTURY WITNESS OF THE TRANSLATIONS OF THE SPHERICS: IBN HŪD Requires Authentication Unlicensed Licensed Download PDF	73
EDITION AND TRANSLATION OF MENELAUS’ PROPOSITIONS QUOTED IN IBN HŪD’S ENCYCLOPEDIA Requires Authentication Unlicensed Licensed Download PDF	91
PART II: MATHEMATICAL COMMENTARY
CHAPTER 1: THE MATHEMATICAL CONTENT OF THE SPHERICS Requires Authentication Unlicensed Licensed Download PDF	125
CHAPTER 2: THE PROPOSITIONS Requires Authentication Unlicensed Licensed Download PDF	139
PART III: TEXTS AND TRANSLATIONS
CHAPTER 1: THE SPHERICS: A FRAGMENT OF AN ANCIENT TRANSLATION Requires Authentication Unlicensed Licensed Download PDF	399
TEXT AND TRANSLATION Requires Authentication Unlicensed Licensed Download PDF	407
CHAPTER 2. THE SPHERICS: THE VERSION OF AL-MĀHĀNĪ AND AL-HARAWĪ Requires Authentication Unlicensed Licensed Download PDF	485
TEXT AND TRANSLATION Requires Authentication Unlicensed Licensed Download PDF	499
POSTFACE: SPHERICAL GEOMETRY: A FEW MARKERS Requires Authentication Unlicensed Licensed Download PDF	779
BIBLIOGRAPHY Requires Authentication Unlicensed Licensed Download PDF	827
ARABIC-ENGLISH GLOSSARY Requires Authentication Unlicensed Licensed Download PDF	839
INDEX OF NAMES Requires Authentication Unlicensed Licensed Download PDF	865
INDEX OF WORKS Requires Authentication Unlicensed Licensed Download PDF	868
INDEX OF MANUSCRIPTS Requires Authentication Unlicensed Licensed Download PDF	874

(Deutsch)

Languages: English, Arabic
Publisher: De Gruyter
Audience: Classical philologists, historians of Arabic culture, language, Greek and Arabic mathematics, science non-Euclidean geometry.
Pages
- Front matter: 14
- Main content: 874
Keywords: Spherics; Greek geometry; Arabic mathematics; History of non-Euclidean geometry.

eBook

Published: October 23, 2017
ISBN: 9783110571424

Hardcover

Published: October 23, 2017
ISBN: 9783110568233