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# Right Conoid

A ruled surface is called a right conoid if it can be generated by moving a straight line intersecting a fixed straight line such that the lines are always perpendicular (Kreyszig 1991, p. 87). Taking the perpendicular plane as the -plane and the line to be the x-axis gives the parametric equations

 (1) (2) (3)

(Gray 1997). Taking and gives the helicoid.

Conoid, Helicoid, Plücker's Conoid, Right Circular Conoid, Wallis's Conical Edge

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## References

Dixon, R. Mathographics. New York: Dover, p. 20, 1991.Ferréol, R. "Conoid." https://mathcurve.com/surfaces.gb/conoid/conoid.shtml.Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, pp. 450-452, 1997.Kreyszig, E. Differential Geometry. New York: Dover, 1991.

Right Conoid

## Cite this as:

Weisstein, Eric W. "Right Conoid." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RightConoid.html