Absolute geometry

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A geometry based on the axioms of Euclidean geometry, except for the axiom on parallel straight lines (postulate V). The assumptions underlying absolute geometry are common to Euclidean geometry and to Lobachevskii geometry. The term "absolute geometry" was introduced by J. Bolyai in 1832.

How to Cite This Entry:
Absolute geometry. A.B. Ivanov (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098