# elliptic paraboloid

elliptic paraboloid
a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are ellipses, while its sections parallel to the other two coordinate planes are parabolas. Cf. hyperbolic paraboloid.

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Universalium. 2010.

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• elliptic paraboloid — Geom. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are ellipses, while its sections parallel to the other two coordinate planes are parabolas. Cf. hyperbolic paraboloid …   Useful english dictionary

• 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 — 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 — 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

• hyperbolic paraboloid — Geom. a paraboloid that can be put into a position such that its sections parallel to one coordinate plane are hyperbolas, with its sections parallel to the other two coordinate planes being parabolas. Cf. elliptic paraboloid. [1835 45] * * * …   Universalium

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Parabola — For other uses, see Parabola (disambiguation). A parabola …   Wikipedia

• Quadrique — En mathématiques, et plus précisément en géométrie euclidienne, une quadrique, ou surface quadratique, est une surface de l espace euclidien de dimension 3, lieu des points vérifiant une équation cartésienne de degré 2 Ax2 + By2 + Cz2 + 2Dyz +… …   Wikipédia en Français

• Cuádrica — Una cuádrica es una superficie determinada por una ecuación de la forma: donde P es un polinomio de segundo grado en las coordenadas . Cuando no se precisa, es una superficie del espacio tridimensional real usual, en un sistema de coordenadas… …   Wikipedia Español