HYPERBOLOID

hyperboloid

(noun) a quadric surface generated by rotating a hyperbola around its main axis

Source: WordNet® 3.1

Etymology

Noun

hyperboloid (plural hyperboloids)

A particular surface in three-dimensional Euclidean space, the graph of a quadratic with all three variables squared and their coefficients not all of the same sign.

Usage notes

• If the hyperboloid is a connected surface, it is said to be of one sheet; otherwise, it has two components and is said to be of two sheets.

Hypernyms

• quadric surface, quadric

Source: Wiktionary

Hy*per"bo*loid, n. Etym: [Hyperbola + -oid: cf. F. hyperboloïde.] (Geom.)

Definition: A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface. Hyperboloid of revolution, an hyperboloid described by an hyperbola revolving about one of its axes. The surface has two separate sheets when the axis of revolution is the transverse axis, but only one when the axis of revolution is the conjugate axis of the hyperbola.

Hy*per"bo*loid, a. (Geom.)

Definition: Having some property that belongs to an hyperboloid or hyperbola.

Source: Webster’s Unabridged Dictionary 1913 Edition