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A constant curvature Non-Euclidean Geometry which replaces the Parallel Postulate with the statement ``through
any point in the plane, there exist no lines Parallel to a given line.'' Elliptic geometry is sometimes also called
Riemannian Geometry. It can be visualized as the surface of a Sphere on
which ``lines'' are taken as Great Circles. In elliptic geometry, the sum of angles of a
Triangle is .
See also Euclidean Geometry, Hyperbolic Geometry, Non-Euclidean Geometry