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 == | == See Also == | ||
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[[Elliptical geometry]] | [[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] | [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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Revision as of 12:11, 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."
See Also
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