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# 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.

Tagged:

• Elliptic-integral

noun, Mathematics. 1. a certain kind of definite integral that is not expressible by means of elementary functions.

• 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.

• Elliptic-spring

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

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