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 ==
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*[[Elliptical geometry]]
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*[http://www.ams.org/journals/bull/1902-08-10/S0002-9904-1902-00923-3/S0002-9904-1902-00923-3.pdf Mathematical Problems Lecture]
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[[Category:Geometry]]

Latest revision as of 11:23, 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."

See Also

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