info prev up next book cdrom email home

Absolute Geometry

Geometry which depends only on the first four of Euclid's Postulates and not on the Parallel Postulate. Euclid himself used only the first four postulates for the first 28 propositions of the Elements, but was forced to invoke the Parallel Postulate on the 29th.

See also Affine Geometry, Elements, Euclid's Postulates, Geometry, Ordered Geometry, Parallel Postulate


Hofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Vintage Books, pp. 90-91, 1989.

© 1996-9 Eric W. Weisstein