elliptic geometry

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elliptic geometry

n
(Mathematics) another name for Riemannian geometry
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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Noun1.elliptic geometry - (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle; "Bernhard Riemann pioneered elliptic geometry"
Riemannian geometry
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
non-Euclidean geometry - (mathematics) geometry based on axioms different from Euclid's; "non-Euclidean geometries discard or replace one or more of the Euclidean axioms"
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References in periodicals archive
(4) To demolish Einstein's theories of relativity (in elliptic geometry), you could go back and prove the parallel postulate, bringing down not only Einstein, but all of the non-Euclidean geometries, as well.
Martin Gardner and Marilyn vos Savant--a Not Always Easy Collaboration
As in Non-Euclidean Geometry, there are models that validate the hyperbolic geometric and of course invalidate the Euclidean geometry, or models that validate the elliptic geometry and in consequence they invalidate the Euclidean geometry and the hyperbolic geometry.
Superluminal physics and instantaneous physics as new trends in research
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.
Paradoxism in geometry: smarandache geometries (sg) and the degree of negation in geometries
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