The Thirteen Books of the Elements, Vol. 1
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The Thirteen Books of the Elements, Vol. 1

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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."show more

Product details

  • Paperback | 443 pages
  • 137.16 x 200.66 x 25.4mm | 453.59g
  • Dover Publications Inc.
  • New York, United States
  • English
  • Revised
  • 2nd Revised edition
  • figs.
  • 0486600882
  • 9780486600888
  • 89,081

Table of contents

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.show more

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310 ratings
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