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

x2a2

+

y2b2

= 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.