Topic: Hyperbolic Geometry
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What are the characteristics of hyperbolic geometry?
A. When represented on a Poincaré Disk, a line is an arc that has endpoints. B. There is an infinite number of lines parallel to a given line through a given point. C. It can be represented by a Poincaré Disk. Read More »
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What careers use Hyperbolic Geometry?
ballistics Read More »
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What are two applications of Hyperbolic geometry?
Hyperbolic geometry is used very often in space, such as space travel and gravitational pulls and rotations of planets. This geometry is used most often in space because of Einstein's general Theory of Relativity assumes that space is not a... Read More »
Source: http://wiki.answers.com/Q/Which_of_the_following_are_charcteristi...
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Hyperbolic Geometry
(n.) The branch of non-Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that two distinct lines may be drawn parallel to a given line through a point not on the given line
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---->> B. There is an infinite number of lines parallel to a given line through a given point. C. It can be represented by a Poincaré Disk. D. When represented on a Poincaré Disk, a line is an arc that has endpoints. A . Triangles have less...
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hyperbolic geometry: (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane
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Source: http://www.kgbanswers.com/what-is-a-hyperbolic-geometry/1612754
hyperbolic geometry: (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane
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It seems that in the 1820s or thereabout, Gauss, Janos Bolyai, and Lobachevski all independently explored what would happen to Euclidean geometry if the parallel postulate were modified to allow multiple parallels to a line through a given ...
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Source: http://answers.yahoo.com/question/index?qid=20070905140305AA2xweE
The hyperbola has applications in science and industry, and from our own backyards. The hyperbola is one of the four curves shown previously as sections of a cone. The hyperbola as the pattern cast on a wall by a lamp with a cylindrical sha...
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Source: http://answers.yahoo.com/question/index?qid=20090722135115AAMzkPb
When Euclid proposed the postulates of Geometry, mathematicians in early periods have several hesitations. Then some of them proposed alternatives to the postulate and new geometries have been created. http://en.wikipedia.org/wiki/Postulate...
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