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.
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.
“The textbook that shall really replace Euclid has not yet been written and probably never will be.” — Encyclopaedia Britannica.
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.
ISBN-13: 9780486600895
Media Type: Paperback
Publisher: Dover Publications
Publication Date: 06-01-1956
Pages: 464
Product Dimensions: 5.50(w) x 8.50(h) x (d)
Series: Dover Books on Mathematics #2
Table of 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 VIII.
BOOK IX.
GREEK INDEX TO VOL. II.
ENGLISH INDEX TO VOL. II.
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