
1) Differential geometry
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https://www.crosswordclues.com/clue/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 interpretation, a pseudosphere of radius R is any ...
Found on
http://en.wikipedia.org/wiki/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 altering in size any of its elements.Pseudosphere: ...
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http://thinkexist.com/dictionary/meaning/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 on
http://www.britannica.com/eb/a-z/p/127

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 on
http://www.daviddarling.info/encyclopedia/P/pseudosphere.html

<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 or altering in size any of its elements. ... Orig...
Found on
http://www.encyclo.co.uk/local/20973
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 property of the surface is that any figure drawn upo...
Found on
http://www.encyclo.co.uk/webster/P/187

a surface generated by revolving a tractrix about its asymptote.
Found on
https://www.infoplease.com/dictionary/pseudosphere
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