The Thirteen Books of the Elements Vol. 1

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 2500 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.