noun
The definition of a paraboloid is a solid with two or more parabolic sections parallel to a single axis, or is a solid generated by rotating a parabola around a center point (axis).
A solid made by rotating a parabola around an axis is an example of a paraboloid.
paraboloid
a surface or solid formed so that sections parallel to the plane of symmetry are parabolas and sections perpendicular to it are ellipses (elliptic paraboloid), hyperbolas (hyperbolic paraboloid), or circles (paraboloid of revolution)
paraboloid
noun
A surface having parabolic sections parallel to a single coordinate axis and elliptic or circular sections perpendicular to that axis.
Related Forms:
- pa·rab′o·loi′dal
adjective
paraboloid
The equation for
a circular paraboloid is
^{ x 2}_{a 2 }
+
^{ y 2}_{b2}
= z.
paraboloid
Noun
(plural paraboloids)
- (mathematics) A surface having a parabolic cross section parallel to an axis, and circular or elliptical cross section perpendicular to the axis; especially the surface of revolution of a parabola.