The Thirteen Books of Euclid's Elements, Volume 2Dover Publications, 1956 This is the definitive edition of one of the very greatest classics of all time - the full Euclid, not an abridgement. Utilizing the text established by Heilberg, 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 which 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. -- from back cover. |
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DEFINITIONS | 1 |
DEFINITIONS | 78 |
INTRODUCTORY NOTE II 2 | 112 |
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ABCD angle ABC angle BAC antecedent Archimedes Aristotle base bisected centre circle ABC circumference construction continued proportion corresponding sides cube number definition diameter drawn enunciation equal angles equiangular equimultiples Euclid Eutocius ex aequali four magnitudes geometrical geometrical progression given circle given straight line greater ratio greatest common measure Heiberg hypothesis Iamblichus joined Konrad Knopp less mathematics mean proportional numbers measures the number multiple multitude Nicomachus non-Euclidean geometry odd number Paperbound parallel parallelogram pentagon perpendicular polygon Porism prime number Proclus Prop proposition PROPOSITION 13 proved rect rectangle rectangle contained rectilineal figure reductio ad absurdum remaining angle right angles segment semicircle similar and similarly similar plane numbers Simson solid numbers square number subtracted Theon Theon of Smyrna theorem theory triangle ABC unit VIII δὲ καὶ πρὸς τὸ τοῦ