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Parabolic Conoid


ParabolicConoid

The parabolic conoid is a conoid and cubic ruled surface that can be given by parametric equations

x=u
(1)
y=v
(2)
z=(u(b^2-v^2))/(a^2)
(3)

and Cartesian equation

 a^2z=x(b^2-y^2)
(4)

(Ferréol).


See also

Conoid, Right Conoid

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References

Ferréol, R. "Parabolic Conoid." https://mathcurve.com/surfaces.gb/conoide_parabolique/conoide_parabolique.shtml.

Cite this as:

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

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