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NEILOID

Etymology: from Neile with the suffix oid.

 
Cylindrical equation: .
Cubic surface.

The neiloid is the surface of revolution obtained by rotating a semicubical parabola (or Neile parabola) around its axis of symmetry.
 
 
In dendometry, to calculate the volume of a trunk of negative curvature, we use the neiloid trunk formula seen above, as shown in the figure opposite:

 
 
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© Robert FERRÉOL 2022