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Wallis's Conical Edge

The Right Conoid surface given by the parametric equations

$\displaystyle x(u,v)$ $\textstyle =$ $\displaystyle v\cos u$  
$\displaystyle y(u,v)$ $\textstyle =$ $\displaystyle v\sin u$  
$\displaystyle z(u,v)$ $\textstyle =$ $\displaystyle c\sqrt{a^2-b^2\cos^2 u}.$  

See also Right Conoid


Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 354-355, 1993.

© 1996-9 Eric W. Weisstein