The Thirteen Books of the Elements: Volume 1

The Thirteen Books of the Elements: Volume 1

Paperback Dover Books on Mathematics

By (author) Euclid, Volume editor Sir Thomas Heath, Translated by Sir Thomas Heath

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  • Publisher: Dover Publications Inc.
  • Format: Paperback | 443 pages
  • Dimensions: 137mm x 201mm x 25mm | 454g
  • Publication date: 1 June 1956
  • Publication City/Country: New York
  • ISBN 10: 0486600882
  • ISBN 13: 9780486600888
  • Edition: 2, Revised
  • Edition statement: 2nd Revised edition
  • Illustrations note: figs.
  • Sales rank: 62,786

Product description

Volume 1 of 3-volume set containing complete English text of all 13 books of the "Elements" plus critical apparatus analyzing each definition, postulate, and proposition. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations, and historical notes. Vol. 1 includes Introduction, Books I and II of "Elements," lines, angles, intersections, etc.

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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.