surface paraboloid

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• 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

• 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 — 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

• 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

• paraboloid of revolution — the surface generated by the rotation of a parabola about its axis it is a property of a paraboloid of revolution … that rays from an object at infinity are all imaged at the same point on the axis F.W.Sears * * * paraboloid of revolution, =… …   Useful english dictionary

• 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… …   The Collaborative International Dictionary of English

• paraboloid — noun 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 …   Wiktionary

• paraboloid — noun Date: circa 1702 a surface all of whose intersections by planes are either parabolas and ellipses or parabolas and hyperbolas • paraboloidal adjective …   New Collegiate Dictionary

• paraboloid — pa·rab·o·loid || pÉ™ ræbÉ™lɔɪd n. mathematical surface wherein intersections with planes produce parabolas or hyperbolas or ellipses …   English contemporary dictionary

• paraboloid — pa•rab•o•loid [[t]pəˈræb əˌlɔɪd[/t]] n. math. a surface that can be put into a position such that its sections parallel to at least one coordinate plane are parabolas • Etymology: 1650–60 pa•rab o•loi′dal, adj …   From formal English to slang

• paraboloid — /pəˈræbəlɔɪd/ (say puh rabuhloyd) noun a solid or surface generated by the revolution of a parabola about its axis, or one of the second degree some of whose plane sections are parabolas. –paraboloidal /pəræbəˈlɔɪdl/ (say puhrabuh loydl),… …