1. (mathematics) geometry based on axioms different from Euclid's; - Example: "non-Euclidean geometries discard or replace one or more of the Euclidean axioms"
WordNet (r) 3.0 (2006):
non-Euclidean geometry
n 1: (mathematics) geometry based on axioms different from
Euclid's; "non-Euclidean geometries discard or replace one
or more of the Euclidean axioms"