elliptic geometry

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Related to elliptic geometry: hyperbolic geometry
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  • noun

Synonyms for elliptic geometry

(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle

References in periodicals archive ?
For elliptic geometry, there is no such parallel line; for Euclidean geometry (which may be called parabolic geometry), there is exactly one; and for hyperbolic geometry, there are infinitely many.
Plane elliptic geometry is closely related to spherical geometry, but it differs in that antipodal points on the sphere are identified.
Elliptic geometry satisfies some of the postulates of Euclidean geometry, but not all of them under all interpretations.
The Riemann geometry, also called elliptic geometry is a geometry with axioms (A1)-(A4) and the following axiom (R5):
While in the Riemannian geometry, called elliptic geometry, the fifth Euclidean postulate is also invalidated as follows: there is no parallel to a given line passing through an exterior point.
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