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Wallis's conical edge is a ruled surface given by the parametric equations:

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

where a, b and c are constants.

Wallis's conical edge is also a kind of right conoid.

Wallis's conical edge
Figure 1. Wallis's Conical Edge with a=b=c=1

Wallis Conical Edge

Figure 2 shows that the Wallis's conical edge is generated by a moving line.

Wallis's conical edge is named after the English mathematician John Wallis, who was one of the first to use Cartesian methods to study conic sections.[1]
See also

Ruled surface
Right conoid

External links

Wallis's Conical Edge from MathWorld.


A. Gray, E. Abbena, S. Salamon,Modern differential geometry of curves and surfaces with Mathematica, 3rd ed. Boca Raton, FL:CRC Press, 2006. [2] (ISBN 9781584884484)

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