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Smarandache Paradoxist Geometry

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Visit this site: http://www.gallup.unm.edu/~smarandache/prd-geo1.txt
Author:Chimienti, Bencze
Description: Uniting Euclidean, Lobachevsky-Bolyai-Gauss, and Riemannian geometries. Smarandache geometries are partially Euclidean and partially Non-Euclidean. It is based on the first four of Euclid's postulates, but the fifth postulate is replaced so that there exist various straight lines and points exterior to them in such a way that none, one, more, and infinitely many parallels can be drawn through the points in this mixted smarandacheian space. See Smarandache Non-Geometry, Smarandache Counter-Projective Geometry, and Smarandache Anti-Geometry; also the club called Smarandache Geometries.
Levels: College
Languages: English
Math Topics: Euclidean Plane Geometry, Non-Euclidean Geometry

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