non-Euclidean geometry

noun
1.
geometry based upon one or more postulates that differ from those of Euclid, especially from the postulate that only one line may be drawn through a given point parallel to a given line.
Origin
1870-75; non- + Euclidean
British Dictionary definitions for non-Euclidean geometry

non-Euclidean geometry

noun
1.
the branch of modern geometry in which certain axioms of Euclidean geometry are restated. It introduces fundamental changes into the concept of space