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NEILOID
Etymology: from Neile with the suffix oid. 
Cylindrical equation: .
Cubic surface. Volume between the planes and : . . 

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