Thirteen Books of Euclid s Elements Books I II 2nd Edition by Thomas Heath, Euclid 0486600882 9780486600888

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ISBN 10: 0486600882

ISBN 13: 9780486600888

Author: Thomas L. Heath, Euclid

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.

Thirteen Books of Euclid s Elements Books I II 2nd Table of contents:

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

§2. ELEMENTS ANTERIOR TO EUCLID’S

§3. FIRST PRINCIPLES: DEFINITIONS, POSTULATES AND AXIOMS

§4. THEOREMS AND PROBLEMS

§5. THE FORMAL DIVISIONS OF A PROPOSITION

§6. OTHER TECHNICAL TERMS

§7. THE DEFINITIONS

THE ELEMENTS.

BOOK I. DEFINITIONS, POŚTULATES, COMMON NOTIONS

NOTES ON DEFINITIONS ETC.

PROPOSITIONS

BOOK II. DEFINITIONS

NOTE ON GEOMETRICAL 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.

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