Noun
(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle
Source: WordNetBernhard Riemann pioneered elliptic geometry Source: Internet
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. Source: Internet
Riemann 's elliptic geometry emerges as the most natural geometry satisfying this axiom. Source: Internet
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. Source: Internet