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Models Of Non-euclidean Geometry




Euclidean geometry is modelled by our notion of a "flat Plane ."
The simplest model for elliptic geometry is a sphere, where lines are " Great Circle s" (such as the Equator or the Meridian s on a Globe ), and points opposite each other are identified (considered to be the same).
The Pseudosphere has the appropriate Curvature to model hyperbolic geometry.


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REFERENCES

  • Ian Stewart. '' Flatterland ''. Perseus Publishing; ISBN 0-7382-0675-X (softcover, 2001)

  • Marvin Jay Greenberg. ''Euclidean and non-Euclidean geometries: Development and history''. Publisher: W H Freeman 1993. ISBN 0-7167-2446-4.



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