elliptic geometry

Also found in: Dictionary, Encyclopedia, Wikipedia.
Related to elliptic geometry: hyperbolic geometry
Graphic Thesaurus  🔍
Display ON
Animation ON
  • 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 ?
Thus, chapters discuss sequentially the complex plane, transformations of the plane, hyperbolic geometry, elliptic geometry, expansion of geometries to different curvature scales, the topology of surfaces, the relationship of topology of surfaces to geometry, the Gauss-Bonnet formula, quotient spaces, and the Dirichlet domain.
Two important geometries alternative to Euclidean geometry are elliptic geometry and hyperbolic geometry.
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.
The Riemann geometry, also called elliptic geometry is a geometry with axioms (A1)-(A4) and the following axiom (R5):
In the non-Euclidean geometries such as hyperbolic or elliptic geometry, similar figures do not exist.
Full browser ?