KnowraNon-Euclidean geometryLinked fromLinked fromThe 47 pages that link to Non-Euclidean geometry, each with the reason it gives.All 47Related 17Narrower topic 12Compared with 18Hyperbolic geometryNarrower topic: Hyperbolic geometry is one of the two principal classical non-Euclidean geometries.Parallel postulateNarrower topic: Rejecting or altering the postulate opened the path to alternative geometries.Elliptic geometryNarrower topic: Elliptic geometry is one of the two classical non-Euclidean geometries.Nikolai LobachevskyNarrower topic: Lobachevsky’s work was a foundational development in this broader family.Hyperbolic planeNarrower topic: The hyperbolic plane is one of its two principal constant-curvature forms.János BolyaiNarrower topic: Bolyai’s work became one of the foundational developments in this broader family.PseudosphereNarrower topic: The pseudosphere offers a spatial demonstration of one non-Euclidean geometry.Hyperbolic triangleNarrower topic: Hyperbolic triangles are one concrete manifestation of geometry beyond Euclid’s postulates.Hilbert's theoremNarrower topic: The theorem addresses whether a hyperbolic geometry can appear as a complete surface in Euclidean space.Playfair's axiomNarrower topic: Such geometries expose the consequences of replacing or rejecting Playfair's axiom.Daina TaimiņaNarrower topic: Hyperbolic geometry, the subject of her models, is one branch of this broader family.Hjelmslev's theoremNarrower topic: Hjelmslev’s theorem belongs to the consequences of rejecting Euclid’s parallel postulate.