# Difference between revisions of "Hyperbolic geometry"

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Hyperbolic geometry (geometry of Lobachevsky) is the non-Euclidean geometry in which the parallel postulate is replaced. In David Hilbert's 1900 lecture before the International Congress of Mathematicians, he states that "We may therefore say that [hyperbolic geometry] is a geometry standing next to euclidean geometry." | Hyperbolic geometry (geometry of Lobachevsky) is the non-Euclidean geometry in which the parallel postulate is replaced. In David Hilbert's 1900 lecture before the International Congress of Mathematicians, he states that "We may therefore say that [hyperbolic geometry] is a geometry standing next to euclidean geometry." | ||

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+ | == See Also == | ||

+ | [[Elliptical geometry]] | ||

+ | [http://www.ams.org/journals/bull/1902-08-10/S0002-9904-1902-00923-3/S0002-9904-1902-00923-3.pdf Mathematical Problems Lecture] |

## Revision as of 11:11, 20 November 2012

Hyperbolic geometry (geometry of Lobachevsky) is the non-Euclidean geometry in which the parallel postulate is replaced. In David Hilbert's 1900 lecture before the International Congress of Mathematicians, he states that "We may therefore say that [hyperbolic geometry] is a geometry standing next to euclidean geometry."
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