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Directrix (Ruled Surface)

The curve ${\bf b}(u)$ in the Ruled Surface parameterization

{\bf x}(u,v)={\bf b}(u)+v{\bf d}(u)

is called the directrix (or Base Curve).

See also Director Curve, Ruled Surface


Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, p. 333, 1993.

© 1996-9 Eric W. Weisstein