Hyperbolic geometry Summary

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Encyclopedia Articles (2)

Hyperbolic Geometry

1,008 words, approx. 4 pages

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... Read more

Lobachevskian Geometry

894 words, approx. 3 pages

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 ... Read more