- 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

noun

a surface or solid formed so that sections parallel to the plane of symmetry are parabolas and sections perpendicular to it are ellipses (), hyperbolas (), or circles ()

*Related Forms:*

- paraboloidal
adjective

## 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.