Absolute Geometry


Also found in: Wikipedia.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Absolute Geometry

 

a term used to denote the set of geometrical propositions which are independent of the postulate about parallel lines—that is, common to Euclidean and Lobachevskii geometry.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Which means that the same term, `triangle' -- and one may undoubtedly understand by this the concept of the triangle of absolute geometry -- can be consistently connected as well with the `Euclidean' as well as with the `non-Euclidean' predicate.
The purpose of the present paper is to show that the axiomatics in [13] gives the foundation of absolute geometry, the common part of Euclidean and non-Euclidean hyperbolic (i.e.