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HELIX OF THE PARABOLOID OF REVOLUTION

See Loria 3d p. 160. |

Cartesian parametrization: , traced on the paraboloid: . |

Here, we consider helices
of the paraboloid
of revolution, i.e. curves with constant slope
with respect to a plane perpendicular to its axis.

The projection on *xOy* is an involute
of a circle: .

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© Robert FERRÉOL 2018