Menelaus' Spherics : : early translation and al-Mahani, al-Harawi's version / by Roshdi Rashed and Athanase Papadopoulos.

Format:

Book

Author/Creator:

Rāshid, Rushdī, author.

Papadopoulos, Athanase, author.

Series:

Scientia Graeco-Arabica ; Band 21.

Scientia Graeco-Arabica, 1868-7172 ; Band 21

Language:

English

Subjects (All):

Geodesics (Mathematics).

Sphere.

Geometry, Differential.

Curves on surfaces--Mathematical models.

Curves on surfaces.

Surfaces--Mathematical models.

Surfaces.

Menelaus, of Alexandria.

Menelaus.

Physical Description:

1 online resource (888 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, 2017.

Language Note:

In English.

Summary:

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.

Contents:

Frontmatter

FOREWORD

TABLE OF CONTENTS

INTRODUCTION

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

CHAPTER 1: THE MATHEMATICAL CONTENT OF THE SPHERICS

CHAPTER 2: THE PROPOSITIONS

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

POSTFACE: SPHERICAL GEOMETRY: A FEW MARKERS

BIBLIOGRAPHY

ARABIC-ENGLISH GLOSSARY

INDEX OF NAMES

INDEX OF WORKS

INDEX OF MANUSCRIPTS

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9783110569872

3110569876

9783110571424

3110571420

OCLC:

1011461572