7 definitions found for hyperboloid

Hyperboloid HYPER'BOLOID, n. [hyperbola, and Gr. form.] A hyperbolic conoid; a solid formed by the revolution of a hyperbola about its axis.

hyperboloid n 1: a quadric surface generated by rotating a hyperbola around its main axis

hyperboloid noun Date: 1743 a quadric surface whose sections by planes parallel to one coordinate plane are ellipses while those sections by planes parallel to the other two are hyperbolas if proper orientation of the axes is assumed • hyperboloidal adjective

hyperboloid
n. Geom. a solid or surface having plane sections that are hyperbolas, ellipses, or circles.
Derivatives:
hyperboloidal adj.

hyperboloid n. Geom. a solid or surface having plane sections that are hyperbolas, ellipses, or circles. øøhyperboloidal adj.

Hyperboloid Hy*per"bo*loid, n. [Hyperbola + -oid: cf. F. hyperbolo["i]de.] (Geom.) 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.

Hyperboloid Hy*per"bo*loid, a. (Geom.) Having some property that belongs to an hyperboloid or hyperbola.