A ruled surface is a normal developable of a curve if can be parameterized by , where is the normal vector (Gray 1993, pp. 352-354; first edition only).
Normal Developable
See also
Binormal Developable, Box-Muller Transformation, Tangent DevelopableExplore with Wolfram|Alpha
References
Gray, A. "Developables." §17.6 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, 1993.Referenced on Wolfram|Alpha
Normal DevelopableCite this as:
Weisstein, Eric W. "Normal Developable." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NormalDevelopable.html