Prolate ellipsoid

Prolate ellipsoid
Prolate Pro"late, a. [L. prolatus, used as p. p. of proferre to bring forth, to extend; pro + latus, p. p. See {Pro-}, and {Tolerate}. ] Stretched out; extended; especially, elongated in the direction of a line joining the poles; as, a prolate spheroid; -- opposed to {oblate}. [1913 Webster]

{Prolate cycloid}. See the Note under {Cycloid}.

{Prolate ellipsoid} or {Prolate spheroid} (Geom.), a figure generated by the revolution of an ellipse about its major axis. Contrasted with {oblate spheroid}. See {Ellipsoid of revolution}, under {Ellipsoid}. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Prolate — Pro late, a. [L. prolatus, used as p. p. of proferre to bring forth, to extend; pro + latus, p. p. See {Pro }, and {Tolerate}. ] Stretched out; extended; especially, elongated in the direction of a line joining the poles; as, a prolate spheroid;… …   The Collaborative International Dictionary of English

  • Prolate cycloid — Prolate Pro late, a. [L. prolatus, used as p. p. of proferre to bring forth, to extend; pro + latus, p. p. See {Pro }, and {Tolerate}. ] Stretched out; extended; especially, elongated in the direction of a line joining the poles; as, a prolate… …   The Collaborative International Dictionary of English

  • Prolate spheroid — Prolate Pro late, a. [L. prolatus, used as p. p. of proferre to bring forth, to extend; pro + latus, p. p. See {Pro }, and {Tolerate}. ] Stretched out; extended; especially, elongated in the direction of a line joining the poles; as, a prolate… …   The Collaborative International Dictionary of English

  • Ellipsoid — El*lip soid, n. [Ellipse + oid: cf. F. ellipsoide.] (Geom.) A solid, all plane sections of which are ellipses or circles. See {Conoid}, n., 2 (a) . [1913 Webster] Note: The ellipsoid has three principal plane sections, a, b, and c, each at right… …   The Collaborative International Dictionary of English

  • Ellipsoid of revolution — Ellipsoid El*lip soid, n. [Ellipse + oid: cf. F. ellipsoide.] (Geom.) A solid, all plane sections of which are ellipses or circles. See {Conoid}, n., 2 (a) . [1913 Webster] Note: The ellipsoid has three principal plane sections, a, b, and c, each …   The Collaborative International Dictionary of English

  • Ellipsoid — This article is about the shape. For the type of theatrical spotlight, see ellipsoidal reflector spotlight. For the surface that approximates the figure of the Earth, see reference ellipsoid. triaxial redirects here. For the electrical cable, see …   Wikipedia

  • ellipsoid — /i lip soyd/, n. 1. Geom. a solid figure all plane sections of which are ellipses or circles. Typical equation: (x2/a2) + (y2/b2) + (z2/c2) = 1. adj. 2. ellipsoidal. [1715 25; < F ellipsoïde. See ELLIPSE, OID] * * * ▪ geometry       closed… …   Universalium

  • Prolate spheroid — A prolate spheroid is a spheroid in which the polar diameter is longer than the equatorial diameter.Prolate spheroids in sportThe prolate spheroid is the shape of the ball in several sports, such as Rugby Football and Australian Rules Football.… …   Wikipedia

  • Prolate spheroidal wave functions — The prolate spheroidal wave functions are a set of functions derived by timelimiting and lowpassing, and a second timelimit operation. Let Q T denote the time truncation operator, such that x=Q T x iff x is timelimited within [ T/2;T/2] .… …   Wikipedia

  • Prolate spheroid — Spheroid Sphe roid, n. [L. spheroides ball like, spherical, Gr. ???; ???? sphere + e i^dos form: cf. F. sph[ e]ro[ i]de.] A body or figure approaching to a sphere, but not perfectly spherical; esp., a solid generated by the revolution of an… …   The Collaborative International Dictionary of English

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