CONTENTS

VOLUME I.

INTRODUCTION.

Section

Title

Page

Frontispiece

Facsimile of a page of the Bodleian MS. of the Elements

Chap. I

Euclid and the Traditions About Him

1

Chap. II

Euclid’s Other Works

7

Chap. III

Greek Commentators Other Than Proclus

19

Chap. IV

Proclus and His Sources

29

Chap. V

The Text

46

Chap. VI

The Scholia

64

Chap. VII

Euclid in Arabia

75

Chap. VIII

Principal Translations and Editions

91

Chap. IX

§ 1. On the Nature of Elements

114

§ 2. Elements Anterior to Euclid’s

116

§ 3. First Principles: Definitions, Postulates and Axioms

117

§ 4. Theorems and Problems

124

§ 5. The Formal Divisions of a Proposition

129

§ 6. Other Technical Terms

132

§ 7. The Definitions

143

THE ELEMENTS.

Book / Section

Title

Page

Book I

Definitions, Postulates, Common Notions

153

Notes on Definitions etc.

155

Propositions

241

Book II

Definitions

370

Note on Geometrical Algebra

372

Propositions

375

Excursus I

Pythagoras and the Pythagoreans

411

Excursus II

Popular Names for Euclidean Propositions

415

Index

Greek Index to Vol. I

419

Index

English Index to Vol. I

421

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