HELIX OF THE PARABOLOID OF REVOLUTION
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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