The Thirteen Books of the Elements (1) - Brossura

Euclid

Brossura

ISBN 10: 0486600882 ISBN 13: 9780486600888

Casa editrice: Dover Pubns, 2000

Riassunto

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.

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Contenuti:

VOLUME I. INTRODUCTION. FACSIMILE OF A PAGE OF THE BODLEIAN MS. OF THE ELEMENTS. Frontispiece I. EUCLID AND THE TRADITIONS ABOUT HIM II. EUCLID'S OTHER WORKS III. GREEK COMMENTATORS OTHER THAN PROCLUS IV. PROCLUS AND HIS SOURCES V. THE TEXT VI. THE SCHOLIA VII. EUCLID IN ARABIA VIII. PRINCIPAL TRANSLATIONS AND EDITIONS 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, POSTULATES, 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. 1.

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Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2000
• ISBN 10: 0486600882
• ISBN 13: 9780486600888
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 443