The Thirteen Books of Euclid's Elements, Volume 1After studying both classics and mathematics at the University of Cambridge, Sir Thomas Little Heath (1861-1940) used his time away from his job as a civil servant to publish many works on the subject of ancient mathematics, both popular and academic. First published in 1926 as the second edition of a 1908 original, this book contains the first volume of his three-volume English translation of the thirteen books of Euclid's Elements, covering Books One and Two. This detailed text will be of value to anyone with an interest in Greek geometry and the history of mathematics. |
Contents
CHAP | 1 |
GREEK INDEX TO VOL II | 45 |
THE TEXT | 46 |
29 | 59 |
46 | 72 |
33 | 79 |
Book XI | 81 |
7 | 134 |
THE ELEMENTS | 146 |
BOOK II | 272 |
PROPOSITIONS | 327 |
PYTHAGORAS AND THE PYTHAGOREANS | 411 |
Common terms and phrases
angle ABC angle ACB angle BAC angles equal Apollonius Arabic Archimedes Aristotle assumed axiom bisected Book Campanus centre circle circumference commentary Common Notion congruent construction definition diameter drawn edition Elements enunciation equilateral triangle Eucl Euclid Euclid's Elements Eudemus Eutocius Fihrist follows Geminus geometry given straight line gives gnomon greater Greek Heiberg Heron hypothesis ibid interior angles interpolated isosceles joined lemma less Let ABC magnitude means meet namely Pappus parallel parallelogram passage perpendicular plane Plato porism Posidonius postulate problem Proclus produced proposition proved Ptolemy Pythagoras Pythagorean quoted rectangle rectangle contained reductio ad absurdum reference remaining angle respectively right angles right-angled triangle says Schol scholia scholium segment sides Simplicius solid square on AC suppose surface Suter Theon Theonine MSS theorem things three angles translation triangle ABC twice the rectangle words καὶ τὸ τῶν