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


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  • Ellipticity

    [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

  • Elliptic-paraboloid

    noun, Geometry. 1. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are ellipses, while its sections parallel to the other two coordinate planes are parabolas.

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    noun 1. a spring formed from two leaf springs having their convex sides outward.

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