Elliptic-geometry



noun
1.
(def 1).
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 .
2.
the differential geometry of a metric space that generalizes a Euclidean space.
noun
1.
another name for Riemannian geometry
noun
1.
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 Also called elliptic geometry
Riemannian geometry
(rē-män’ē-ən)
A non-Euclidean system of geometry based on the postulate that within a plane every pair of lines intersects.

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    [ih-lip-tis-i-tee, el-ip-, ee-lip-] /ɪ lɪpˈtɪs ɪ ti, ˌɛl ɪp-, ˌi lɪp-/ noun 1. the degree of divergence of an ellipse from a circle. /ɪlɪpˈtɪsɪtɪ; ˌɛl-/ noun 1. the degree of deviation from a circle or sphere of an elliptical or ellipsoidal shape or path, measured as the ratio of the major to the minor axes



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