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

# Doubly Ruled Surface

## See also

Hyperbolic Paraboloid, Hyperboloid, Plane, Ruled Surface## Explore with Wolfram|Alpha

## References

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

## Referenced on Wolfram|Alpha

Doubly Ruled Surface## Cite this as:

Weisstein, Eric W. "Doubly Ruled Surface."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/DoublyRuledSurface.html