Doubly Ruled Surface

A surface that contains two families of rulings. The only three doubly ruled surfaces are the plane, hyperbolic paraboloid, and single-sheeted hyperboloid.

See also

Hyperbolic Paraboloid, Hyperboloid, Plane, Ruled Surface

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Hilbert, D. and Cohn-Vossen, S. Geometry and the Imagination. New York: Chelsea, p. 15, 1999.

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Doubly Ruled Surface

Cite this as:

Weisstein, Eric W. "Doubly Ruled Surface." From MathWorld--A Wolfram Web Resource.

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