KnowraElliptic geometryLinked fromLinked fromThe 11 pages that link to Elliptic geometry, each with the reason it gives.All 11Broader topic 2Related 1Compared with 8Euclidean geometryCompared with: It models positively curved space, where Euclidean parallel behavior fails.Non-Euclidean geometryBroader topic: It removes parallel lines rather than multiplying them.Hyperbolic geometryCompared with: It rejects the parallel postulate in the opposite direction from hyperbolic geometry.Spherical geometryRelated: Spherical geometry is its standard model when antipodal points are identified.GeometryBroader topic: It illustrates how changing the parallel postulate produces a geometry with different global structure.Plane (geometry)Compared with: Its geometry has no parallel lines, unlike the Euclidean plane.Parallel linesCompared with: It has no parallel lines, unlike the Euclidean plane.Parallel postulateCompared with: It replaces the postulate with a geometry that has no parallel lines.Euclidean planeCompared with: It replaces the plane’s parallel postulate with a geometry where lines meet.Foundations of GeometryCompared with: It demonstrates a distinct consistent response to the parallel postulate.Playfair's axiomCompared with: It admits no parallel through an external point, unlike Playfair's axiom.