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 alsoAffine Geometry,
Elements,
Euclid's Postulates,
Geometry,
Ordered Geometry,
Parallel Postulate Explore with Wolfram|Alpha ReferencesHofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Vintage Books, pp. 90-91, 1989. Referenced on Wolfram|AlphaAbsolute Geometry Cite this as:Weisstein, Eric W. "Absolute Geometry." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AbsoluteGeometry.html
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