Absolute Geometry


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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.

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.