Designating or of a geometry that rejects any of the postulates of Euclidean geometry, esp. the postulate that through a given point only one line can be drawn parallel to another line that does not contain the given point.
Webster's New World
Non-Euclidean Sentence Examples
From the early 1800s Gauss had an interest in the question of the possible existence of a non-Euclidean geometry.
The most significant discoveries of KSU include non-Euclidean geometry, obtaining aniline from nitrobenzene, new element ruthenium, phenomenon of EPR.
The most significant discoveries of KSU include non-Euclidean geometry, obtaining aniline from nitrobenzene, new element Ruthenium, phenomenon of EPR.
A special application of his theory of continuous groups was to the general problem of non-Euclidean geometry.
He was much interested, too, in universal algebra, non-Euclidean geometry and elliptic functions, his papers "Preliminary Sketch of Bi-quaternions" (1873) and "On the Canonical Form and Dissection of a Riemann's Surface" (1877) ranking as classics.