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Cover 1 IBN AL-HAYTHAM’S THEORY OF CONICS, GEOMETRICAL CONSTRUCTIONS AND PRACTICAL GEOMETRY 2 Title Page 8 Copyright Page 9 Table of Contents 10 Foreword 13 Preface 14 INTRODUCTION: CONIC SECTIONS AND GEOMETRICAL CONSTRUCTIONS 17 CHAPTER I: THEORY OF CONICS AND GEOMETRICAL CONSTRUCTIONS: 'COMPLETION OF THE CONICS' 25 1.1. INTRODUCTION 25 1.1.1. Ibn al-Haytham and Apollonius' Conics 25 1.1.2. The eighth book of the Conics 26 1.1.3. The Completion of the Conics: the purpose of the enterprise 43 1.1.4. History of the text 48 1.2. MATHEMATICAL COMMENTARY 54 1.3. TRANSLATED TEXT: On the Completion of the Conics 187 CHAPTER II: CORRECTING THE BANŪ MŪSĀ'S LEMMA FOR APOLLONIUS' CONICS 261 2.1. INTRODUCTION 261 2.2. MATHEMATICAL COMMENTARY 262 2.3. HISTORY OF THE TEXT 283 2.4. TRANSLATED TEXT: On a Proposition of the Banū Mūsā 286 CHAPTER III: PROBLEMS OF GEOMETRICAL CONSTRUCTION 301 3.1. THE REGULAR HEPTAGON 301 3.1.1. Introduction 301 3.1.2. The traces of a work by Archimedes on the regular heptagon 304 3.1.3. A priority dispute: al-Sijzī against Abū al-Jūd 312 3.1.4. The lemmas for the construction of the heptagon: the division of a segment 326 3.1.4.1. Archimedes' division (D1) 327 3.1.

Author

Roshdi Rashed

Published

2019

Language

EN