Pseudosphere
Half the Surface of Revolution generated by a Tractrix about its Asymptote to form a Tractroid. The Cartesian parametric equations are
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
for
.It has constant Negative Curvature, and so is called a pseudosphere by analogy with the Sphere, whichhas constant Positive curvature. An equation for the Geodesics is
 | (4) |
References
Fischer, G. (Ed.). Plate 82 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, p. 77, 1986. Geometry Center. ``The Pseudosphere.'' http://www.geom.umn.edu/zoo/diffgeom/pseudosphere/. Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 383-384, 1993.
- Enantiomorph
- Encoding
- Endogenous Variable
- Endomorphism
- Endraß Octic
- Energy
- En-Function
- Engel's Theorem
- Enneacontagon
- Enneacontahedron
- Enneadecagon
- Enneagon
- Enneagonal Number
- Enneakaidecagon
- Enneper's Minimal Surface
- Enneper's Negative Curvature Surfaces
- Enneper-Weierstraß Parameterization
- Enormous Theorem
- Enriques Surfaces
- Entire Function
- Entringer Number
- Entropy
- Entscheidungsproblem
- Enumerative Geometry
- Envelope