Book:Sir Thomas L. Heath/Euclid: The Thirteen Books of The Elements

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Sir Thomas L. Heath: Euclid: The Thirteen Books of The Elements

Published $\text {1908}$, Dover.


Subject Matter

A contemporary publication of Euclid's The Elements.


The Thirteen Books of Euclid's Elements
Translated from the text of Heiberg
With Introduction and Commentary


Volume 1

Contents

Preface (November, 1908)


Introduction
Chap. I. Euclid and the traditions about him
Chap. II. Euclid's other works
Chap. III. Greek commentators other than Proclus
Chap. IV. Proclus and his sources
Chap. V. The Text
Chap. VI. The Scholia
Chap. VII. Euclid in Arabia
Chap. VIII. Principal translations and editions
Chap. IX.
$\S 1$. On the nature of Elements
$\S 2$. Elements anterior to Euclid's
$\S 3$. First principles: Definitions, Postulates and Axioms
$\S 4$. Theorems and Problems
$\S 5$. The formal divisions of a proposition
$\S 6$. Other technical terms
$\S 7$. The definitions
The Elements
Book I.
Definitions, Postulates, Common Notions
Notes on Definitions etc.
Propositions
Book II.
Definitions
Notes on geometric algebra
Propositions
Excursus I. Pythagoras and the Pythagoreans
Excursus II. Popular Names for Euclidean Propositions
Greek Index to Vol. I.
English Index to Vol. I.


Volume 2

Contents

Book III.
Definitions
Propositions
Book IV.
Definitions
Propositions
Book V.
Introductory Note
Definitions
Propositions
Book VI.
Introductory Note
Definitions
Propositions
Book VII.
Definitions
Propositions
Book VII.
Book IX.
Greek Index to Vol. II.
English Index to Vol. II.


Volume 3

Contents

Book X.
Introductory Note
Definitions I.
Propositions 1 - 47
Definitions II.
Propositions 48 - 84
Definitions III.
Propositions 85 - 115
Ancient extensions of theory of Book X
Book XI.
Definitions
Propositions
Book XII.
Historical note
Propositions
Book XIII.
Historical note
Propositions
Appendix I. The so-called "Book XIV." (by Hypsicles)
Appendix II. Note on the so-called "Book XV."
General Index: Greek
General Index: English


Further Editions