Hyperbolic Geometry
Hyperbolic geometry—an alternative geometry to Euclidean geometry, in which Euclid's first four axioms are true but the fifth axiom, the parallel postulate, is not. Hyperboli...
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Lobachevskian Geometry
Since Euclid many people have tried in vein to prove that the parallel postulate is a logical consequence of Euclid's other axioms. The parallel postulate states that given any ...
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Hyperbolic Geometry