## Look up: Pseudosphere

1. Pseudosphere
Pseu'do·sphere` noun [ Pseudo- + sphere .] (Geom.) The surface of constant negative curvature generated by the revolution of a tractrix. This surface corresponds in non-Euclidian space to the sphere in ordinary space. An important pr...
Found op http://www.encyclo.co.uk/webster/P/187

2. pseudosphere
<geometry> The surface of constant negative curvature generated by the revolution of a tractrix. This surface corresponds in non-Euclidian space to the sphere in ordinary space. An important property of the surface is that any figure drawn upon it can be displaced in any way without tearing it...
Found op http://www.mondofacto.com/facts/dictionary?pseudosphere

3. Pseudosphere
• (n.) The surface of constant negative curvature generated by the revolution of a tractrix. This surface corresponds in non-Euclidian space to the sphere in ordinary space. An important property of the surface is that any figure drawn upon it can be displaced in any way without tearing it or a...
Found op http://thinkexist.com/dictionary/meaning/pseudosphere/

4. pseudosphere
(from the article `non-Euclidean geometry`) In 1868 the Italian mathematician Eugenio Beltrami described a surface, called the pseudosphere, that has constant negative curvature. However, the ...
Found op http://www.britannica.com/eb/a-z/p/127

5. Pseudosphere
In geometry, the term pseudosphere is used to describe various surfaces with constant negative gaussian curvature. Depending on context, it can refer to either a theoretical surface of constant negative curvature, to a tractricoid, or to a hyperboloid. == Theoretical Pseudosphere == In its general ...
Found op http://en.wikipedia.org/wiki/Pseudosphere

6. pseudosphere
A saddle-shaped surface that is produced by rotating a tractrix about its asymptote. The name 'pseudosphere,' which means 'false sphere,' is misleading because it suggests something that is sphere-like; however, a pseudosphere is almost exactly the opposite of a sphere. Whereas a sphere has a consta...
Found op http://www.daviddarling.info/encyclopedia/P/pseudosphere.html

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