(One way to say the parallel postulate is: Given a straight line and a point A not on that line, there is only one exactly straight line through A that never intersects the original line.) The two most important types of non-Euclidean geometry are hyperbolic geometry and elliptical geometry.
www.daviddarling.info/encyclopedia/N/non-Euclidean_geom... www.daviddarling.info/encyclopedia/N/non-Euclidean_geometry.html
Non-Euclidean geometry - Wikipedia, the free encyclopedia
A non-Euclidean geometry is characterized by a non-vanishing Riemann curvature tensor--it is the study of shapes and constructions that do not map directly to any n-dimentional Euclidean system. Exa...
en.wikipedia.org/wiki/Non-Euclidean_geometry
The two commonly mentioned non-Euclidean geometries are hyperbolic geometry and ellptic geometry. If one takes "non-Euclidean geometry" to mean a geometry satisfying all of Euclid's postulates but the parallel postulate, these are...
http://wiki.answers.com/Q/What_are_the_names_of_Non-Euc...
The 2 types of non-Euclidean geometries are hyperbolic geometry and ellptic geometry.
http://wiki.answers.com/Q/What_are_two_types_of_Non-Euc...
Although there are different types of Non-Euclidean geometry which do not use all of the postulates or make alterations of one or more of the postulates of Euclidean geometry, hyperbolic and elliptic are usually most closely associated with the term non-Euclidean geometry.
science.jrank.org/pages/4705/Non-Euclidean-Geometry.htm... science.jrank.org/pages/4705/Non-Euclidean-Geometry.html
There are two main types of non-Euclidean geometries, spherical (or elliptical) and hyperbolic. They can be viewed either as opposite ... The visual potency of the hyperbolic models of non-Euclidean geometry has captured the imagination of artists.[2] The most famous painter to have used hyperbolic models was M.C. Escher.
www.math.cornell.edu/~mec/mircea.html
Beltrami's work on a model of Bolyai - Lobachevsky's non-Euclidean geometry was completed by Klein in 1871. Klein went further than this and gave models of other non-Euclidean geometries such as Riemann's spherical geometry. ... Klein showed that there are three basically different types of geometry.
www-history.mcs.st-and.ac.uk/HistTopics/Non-Euclidean_g... www-history.mcs.st-and.ac.uk/HistTopics/Non-Euclidean_geometry.html
Euclid's Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development ... It has influenced all branches of science but none so much as mathematics and the exact sciences. ... I'm creating this version of Euclid's Elements for a couple of reasons.
aleph0.clarku.edu/~djoyce/java/elements/elements.html
In Reply to: Re: Names of two Non-Euclidean Geometries posted by Nicholas on October 19, 1998 at 22:19:50: ... I need the names of 2 NON-Euclidean Geometries PLEASE! ghbabe 17:05:18 10/17/104 (0) ... Re: Names of two Non-Euclidean Geometries Bryan 18:20:39 2/28/104 (2)
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i need the name of 2 non-Euclidean Geometries.HELP please. - rob 21:24:16 5/17/104 ... Non-euclidean geometries? - Michelle 18:17:08 3/05/102 ... Re: Non-euclidean geometries? - Skaltsas Peter 14:24:21 4/23/102...
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