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

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

Referenced on Wolfram|Alpha

Absolute Geometry

Cite this as:

Weisstein, Eric W. "Absolute Geometry." From MathWorld--A Wolfram Web Resource.

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