The Thirteen Books of the Elements, Vol. 1: Books 1-2

Thomas L. Heath & Euclid

Book 1 of The Thirteen Books of The Elements

Language: English

Publisher: Dover Publications

Published: Jun 2, 1956

Description:

This monumental work unlocks 2,500 years of mathematical wisdom! It's a treasure for scholars and a testament to the enduring legacy of Euclid’s genius.

Volume 1 of the 3-volume set contains the complete English text of all 13 books of the Elements, plus a critical apparatus analyzing each definition, postulate, and proposition. It 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.

  • Deep Historical Context - Gain an understanding of how Euclid's works influenced the evolution of mathematics across centuries.
  • Unabridged Text - Includes the complete English text of all 13 books of The Elements , and preserves accuracy with Sir Thomas Heath's faithful reproduction of the text established by Heiberg.
  • Critical Apparatus - Detailed definitions, postulates, and propositions analyses, ensuring historical and mathematical clarity.
  • Extensive Historical Notes - Comprehensive insights into classical, medieval, Renaissance, and modern interpretations of Euclid’s concepts.
  • Structured Volume Coverage: Volume 1 includes a 151-page overview of Euclid's life, other works, Greek and Islamic commentators, and foundational ideas, plus 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.
  • Definitive Resource - A must-have for students, scholars, and enthusiasts of geometry, history, and mathematics.

“The textbook that shall really replace Euclid has not yet been written and probably never will be.” — Encyclopaedia Britannica.
The timeless brilliance of geometry is revealed in this definitive edition. The Thirteen Books of the Elements, Vol. 1 captures Euclid’s full legacy in an unabridged, meticulously detailed form.