elliptic-geometry

elliptic geometry

noun
Dictionary.com Unabridged

Riemannian geometry

noun Geometry.
1.
Also called elliptic geometry. the branch of non-Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that in a plane every pair of distinct lines intersects. Compare hyperbolic geometry.
2.
the differential geometry of a metric space that generalizes a Euclidean space.

Origin:
1915–20

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Collins
World English Dictionary
elliptic geometry
 
n
another name for Riemannian geometry

Riemannian geometry
 
n
Also called: elliptic geometry a branch of non-Euclidean geometry in which a line may have many parallels through a given point. It has a model on the surface of a sphere, with lines represented by great circles

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Science Dictionary
Riemannian geometry   (rē-män'ē-ən)  Pronunciation Key 
A non-Euclidean system of geometry based on the postulate that within a plane every pair of lines intersects.
The American Heritage® Science Dictionary
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