# 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: e

Read Also:

- 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.