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The Thirteen Books of the Elements (Volume One)
This is the definitive edition of one of the very greatest classics of all time — the full Euclid, not an abridgement.
Using the text established by Heiberg, Sir Thomas Heath encompasses almost 2,500 years of mathematical and historical study upon Euclid.
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Description
This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus that analyzes each definition, postulate, and proposition in great detail.
It covers textual and linguistic matters; mathematical analyses of Euclid’s ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes.
Volume 1. 151-page Introduction: life and other works of Euclid; Greek and Islamic commentators; surviving mss., scholia, translations; bases of Euclid’s thought. Books I and II of the Elements, straight lines, angles, intersection of lines, triangles, parallelograms, etc.
Volume 2. Books III-IX: Circles, tangents, segments, figures described around and within circles, rations, proportions, magnitudes, polygons, prime numbers, products, plane and solid numbers, series of rations, etc.
Volume 3. Books X to XIII: planes, solid angles, etc.; method of exhaustion in similar polygons within circles, pyramids, cones, cylinders, spheres, etc. Appendix: Books XIV, XV, sometimes ascribed to Euclid.
Reprint of a standard edition.
“The textbook that shall really replace Euclid has not yet been written and probably never will be.” — Encyclopaedia Britannica.
Table of Contents
VOLUME I.,
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. §1. On the nature of elements,
The Elements.,
Book I. Definitions, Postulates, Common Notions,
Book II. Definitions,
Excursus I. Pythagoras and the Pythagoreans,
Excursus II. Popular names for Euclidean Propositions,
Greek Index to Vol. I.,
English Index to Vol. I.,
Additional information
| Weight | .5 kg |
|---|---|
| Dimensions | 8 × 5.5 × 1 in |
| ISBN | 9780486600888 |
| Author | Euclid |
| Published Date | 1956 |
| Publisher | Dover Publications |
| Format | Paperback |
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