paraboloid
Conoid Co"noid (k[=o]"noid), n. [Gr. kwnoeidh`s conical; kw^nos cone + e'i^dos form: cf. F. cono["i]de.] 1. Anything that has a form resembling that of a cone. [1913 Webster]

2. (Geom.) (a) A solid formed by the revolution of a conic section about its axis; as, a parabolic conoid, elliptic conoid, etc.; -- more commonly called {paraboloid}, {ellipsoid}, etc. (b) A surface which may be generated by a straight line moving in such a manner as always to meet a given straight line and a given curve, and continue parallel to a given plane. --Math. Dict. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Paraboloid — of revolution In mathematics, a paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic. The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point. In a… …   Wikipedia

  • Paraboloïd — Paraboloïd, Fläche zweiter Ordnung, wie Ellipsoid und Hyperboloid. Man unterscheidet: 1) Das elliptische P. (Fig. 1), das keine Geraden enthält. Fig. 1. Elliptisches Paraboloid. Am einfachsten ist das Rotationsparaboloid, das durch Rotation einer …   Meyers Großes Konversations-Lexikon

  • paraboloid — PARABOLOÍD, paraboloizi, s.m. (mat.) 1. Suprafaţă descrisă de o parabolă1 care se deplasează astfel încât planul ei rămâne mereu paralel cu el însuşi, iar vârful ei descrie o parabolă1 fixă. 2. (În sintagma) Paraboloid de rotaţie = suprafaţă… …   Dicționar Român

  • paraboloid — [pə rab′əloid΄] n. a surface or solid formed so that sections parallel to the plane of symmetry are parabolas and sections perpendicular to it are ellipses (elliptic paraboloid), hyperbolas (hyperbolic paraboloid), or circles (paraboloid of… …   English World dictionary

  • paraboloid — parabolòīd m <G paraboloída> DEFINICIJA mat. neograničena ploha bez centra simetrije, presjeci ravninama su parabole i druge konike [eliptički paraboloid; hiperbolički paraboloid] ETIMOLOGIJA grč. paraboloeidḗs: koji ukazuje na poređivanje …   Hrvatski jezični portal

  • Paraboloid — Pa*rab o*loid ( loid), n. [Parabola + oid: cf. F. parabolo[ i]de.] (Geom.) The solid generated by the rotation of a parabola about its axis; any surface of the second order whose sections by planes parallel to a given line are parabolas. [1913… …   The Collaborative International Dictionary of English

  • Parabolŏid — Parabolŏid, ist eine krumme nicht geschlossene Fläche, deren Gleichung zwischen rechtwinkligen Coordinaten ist az2 + by2 + cx2 + 2 d xy + 2 e xz + 2f yz + 2 gz + 2 hy + 2 ix + k = o unter der Bedingung abc – ad2 – be2 – cf2 + def = o. Man theilt… …   Pierer's Universal-Lexikon

  • Paraboloid — Paraboloid, s. Flächen, Bd. 4, S. 60 …   Lexikon der gesamten Technik

  • Paraboloid — Paraboloīd, eine krumme Fläche, deren Schnitt mit einer Ebene in gewissen Richtungen eine Parabel gibt. Durch Umdrehung einer Parabel um ihre Achse entsteht das Rotations P.; dasselbe gibt als Schnittkurven außer Parabeln noch Ellipsen und Kreise …   Kleines Konversations-Lexikon

  • Paraboloid — Ein Paraboloid ist eine Fläche 2. Ordnung. Es entsteht durch das starre Entlangschieben einer Parabel entlang der anderen. Elliptisches Paraboloid …   Deutsch Wikipedia

  • paraboloid — paraboloidal /peuh rab euh loyd l, par euh beuh /, adj. /peuh rab euh loyd /, n. Geom. a surface that can be put into a position such that its sections parallel to at least one coordinate plane are parabolas. Cf. elliptic paraboloid, hyperbolic… …   Universalium

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