Thirteen Books of the Elements Vol. 2

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.<br>This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the <i>Elements </i> 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.<br>The textbook that shall really replace Euclid has not yet been written and probably never will be. -- <i>Encyclopaedia Britannica.<br></i>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 <i>Elements</i> straight lines angles intersection of lines triangles parallelograms etc.<br>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.<br>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.