The hyperbolic cylinder is a quadratic surface
given by the equation
 |
(1)
|
It is a ruled surface.
It can be given parametrically by
The coefficients of the first fundamental form
are
and of the second fundamental form are
The Gaussian and mean curvatures are
See also
Cylinder,
Elliptic
Paraboloid,
Hyperbola,
Paraboloid
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References
Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, pp. 210-211,
1987.Hilbert, D. and Cohn-Vossen, S. Geometry
and the Imagination. New York: Chelsea, p. 12, 1999.Referenced
on Wolfram|Alpha
Hyperbolic Cylinder
Cite this as:
Weisstein, Eric W. "Hyperbolic Cylinder."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HyperbolicCylinder.html
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