Wallis's conical edge

Template:Short descriptionIn geometry, Wallis's conical edge is a ruled surface given by the parametric equations

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

where Template:Mvar, Template:Mvar and Template:Mvar are constants.

Wallis's conical edge is also a kind of right conoid. It is named after the English mathematician John Wallis, who was one of the first to use Cartesian methods to study conic sections.

Figure 2. Wallis's Conical Edge with Template:Math, Template:Math

Figure 1. Wallis's Conical Edge with Template:Math

See also

• Plücker's conoid
• Ruled surface
• Right conoid

References

• A. Gray, E. Abbena, S. Salamon, Modern differential geometry of curves and surfaces with Mathematica, 3rd ed. Boca Raton, Florida:CRC Press, 2006. [1] (Template:Isbn)

External links

• Wallis's Conical Edge from MathWorld.

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