References for Euclid and other geometries
Euclid's Elements, Greek original and side by side English translation by
All 13 books, from the web
A local copy
for a paltry $25!
A nice on line easy to read annotated version, with Java applets for the diagrams:
Dover has reprinted The classic Heath edition
Vol I, Books 1 and 2
, for just $16. It's even a little less at Amazon.
Proofs that the Pythagorean Theorem and the Theorem on the sum of the angles of a triangle (and several other theorems) each imply the parallel postulate:
Postulates for Lobachevsky-Bolyai geometry:
Math and the Art of M. C. Escher -
Tiling the hyperbolic plane.
M.C. Escher and Hyperbolic Geometry
Back to the
Math 370 home page