A Noncylindrical Ruled Surface always has a parameterization of the form
(1) |
(2) |
(3) | |||
(4) |
(5) |
(6) | |||
(7) |
See also Director Curve, Distribution Parameter, Noncylindrical Ruled Surface, Ruled Surface
References
Gray, A. ``Noncylindrical Ruled Surfaces'' and ``Examples of Striction Curves of Noncylindrical Ruled Surfaces.''
§17.3 and 17.4 in Modern Differential Geometry of Curves and Surfaces.
Boca Raton, FL: CRC Press, pp. 345-350, 1993.