KnowraNikolai LobachevskyLinked fromLinked fromThe 10 pages that link to Nikolai Lobachevsky, each with the reason it gives.All 10Related 9Compared with 1Non-Euclidean geometryRelated: He established a non-Euclidean geometry as a coherent mathematical system.Hyperbolic geometryRelated: He developed and defended the geometry as a consistent alternative.Parallel postulateRelated: His work established a coherent geometry with multiple parallels through an exterior point.Elliptic geometryCompared with: His geometry provides multiple parallels, opposite to elliptic geometry's none.KazanRelated: He led Kazan University and produced much of his influential mathematical work there.Hyperbolic planeRelated: He established the subject as a coherent geometry rather than a contradiction.János BolyaiRelated: His independent discovery paralleled Bolyai’s, though their work emerged in different settings.PseudosphereRelated: His geometry supplied the non-Euclidean framework that the pseudosphere could model locally.Playfair's axiomRelated: His work showed that rejecting uniqueness could yield a consistent alternative geometry.Hjelmslev's theoremRelated: His work established the geometric setting in which the theorem makes sense.