
Menelaus' >Spherics<
Description
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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-Mahani /al-Harawi, 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.
Reviews / Votes
"This is a definitive, monumental work on Menelaus's
Spherics
."
Victor V. Pambuccian in: Zentralblatt für Mathematik 1400.01002
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Content
- Intro
- FOREWORD
- TABLE OF CONTENTS
- INTRODUCTION
- PART I
- CHAPTER 1: MENELAUS AND HIS WRITINGS
- CHAPTER 2: THE REDACTION OF THE SPHERICS BY AL-MAHANI AND AL-HARAWI
- CHAPTER 3: AN ELEVENTH-CENTURY WITNESS OF THE TRANSLATIONS OF THE SPHERICS: IBN HUD
- EDITION AND TRANSLATION OF MENELAUS' PROPOSITIONS QUOTED IN IBN HUD'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: Menelaus' Treatise on the Spherics
- CHAPTER 2: THE SPHERICS: THE VERSION OF AL-MAHANI AND AL-HARAWI
- TEXT AND TRANSLATION: The Treatise of Menelaus on the Spherical Figures
- POSTFACE: SPHERICAL GEOMETRY: A FEW MARKERS
- BIBLIOGRAPHY
- ARABIC-ENGLISH GLOSSARY
- INDEXES
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