elliptic geometry
Noun
Meaning
(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle
Source: WordNetSynonyms
Hypernyms
Examples
Bernhard Riemann pioneered elliptic geometry
This result may also be stated as: the defect of triangles in hyperbolic geometry is positive, the defect of triangles in Euclidean geometry is zero, and the defect of triangles in elliptic geometry is negative.
Riemann 's elliptic geometry emerges as the most natural geometry satisfying this axiom.
The difference is that as a model of elliptic geometry a metric is introduced permitting the measurement of lengths and angles, while as a model of the projective plane there is no such metric.