# Parabola vs. Paraboloid

## Difference Between Parabola and Paraboloid

#### Parabolanoun

A plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the cone or by the locus of points equidistant from a fixed line and a fixed point not on the line.

#### Paraboloidnoun

A surface having parabolic sections parallel to a single coordinate axis and elliptic or circular sections perpendicular to that axis.

#### Parabolanoun

(geometry) The conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix).

#### Paraboloidnoun

(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.

#### Parabolanoun

(rhetoric) The explicit drawing of a parallel between two essentially dissimilar things, especially with a moral or didactic purpose. A parable.

#### Paraboloidnoun

a surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axis

#### Parabolanoun

a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve