Also called elliptic geometry.the branch of non-Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that in a plane every pair of distinct lines intersects. Compare hyperbolic geometry.
2.
the differential geometry of a metric space that generalizes a Euclidean space.
Riemannian geometry (rē-män'ē-ən) Pronunciation Key
A non-Euclidean system of geometry based on the postulate that within a plane every pair of lines intersects.
(rē-män'ē-ən) Pronunciation Key