Thirteen Books Of Elements Vol Ii - Brossura

Brossura

ISBN 10: 0486600890 ISBN 13: 9780486600895

Casa editrice: Dover Publications, 2025

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.

Su questo libro

Product Description

Volume 2 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance and modern commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 2 includes Books III-IX: Circles, relationships, rectilineal figures.

Contenuti

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.

Dettagli dell?edizione

• Editore: Dover Publications
• Data di pubblicazione: 2025
• ISBN 10: 0486600890
• ISBN 13: 9780486600895
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero edizione: 2
• Numero di pagine: 1