The First Six Books of the Elements of Euclid
by John Casey, Euclid
Publisher: Longmans, Green, and Co. 1885
Number of pages: 233
This edition of the Elements of Euclid, undertaken at the request of the principals of some of the leading Colleges and Schools of Ireland, is intended to supply a want much felt by teachers at the present day -- the production of a work which, while giving the unrivaled original in all its integrity, would also contain the modern conceptions and developments of the portion of Geometry over which the Elements extend.
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by Paul Yiu - Florida Atlantic University
We outline some interesting results with illustrations made by dynamic software. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves.
by Wong Yan Loi - National University of Singapore
Contents: Pythagoras' theorem; Pythagorean triples; commensurable and incommensurable quantities; Eudoxus' theory of proportion; method of exhaustion; continued fractions; the surface area of a sphere; the method; regular polyhedra; symmetries; etc.
by David Hilbert - Project Gutenberg
Axioms were uncovered in Euclid's geometry. These discoveries were organized into a more rigorous axiomatic system by David Hilbert in his Grundlagen der Geometrie (1899) which contained his definitive set of axioms for Euclidean geometry.
Online edition of Euclid's Elements, one of the most beautiful and influential works of science in the history of humankind. The text of all 13 Books is complete, and all of the figures are illustrated using a Java applet called the Geometry Applet.