Wallis's conical edge

In geometry, Wallis's conical edge is a ruled surface given by the parametric equations

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

where a, b and c are constants.

Wallis's conical edge is also a kind of

• 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] (
  ISBN 978-1-58488-448-4
  )

External links

• Wallis's Conical Edge from MathWorld.

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