quadric surface

quadric surface
noun
a curve or surface whose equation (in Cartesian coordinates) is of the second degree
Syn: ↑quadric
Hypernyms: ↑curve, ↑curved shape
Hyponyms: ↑hyperboloid

* * *

a three-dimensional surface whose equation is a quadratic equation.
[1880-85]

Useful english dictionary. 2012.

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  • quadric surface — a three dimensional surface whose equation is a quadratic equation. [1880 85] * * * …   Universalium

  • Quadric — In mathematics, a quadric, or quadric surface, is any D dimensional hypersurface defined as the locus of zeros of a quadratic polynomial. In coordinates {x 0, x 1, x 2, ldots, x D}, the general quadric is defined by the algebraic equation… …   Wikipedia

  • quadric — adjective Etymology: International Scientific Vocabulary Date: 1856 quadratic < quadric surface > used where there are more than two variables • quadric noun …   New Collegiate Dictionary

  • quadric — adj. & n. Geom. adj. (of a surface) described by an equation of the second degree. n. a quadric surface. Etymology: L quadra square …   Useful english dictionary

  • Quadric — Quad ric, n. (a) (Alg.) A quantic of the second degree. See {Quantic}. (b) (Geom.) A surface whose equation in three variables is of the second degree. Spheres, spheroids, ellipsoids, paraboloids, hyperboloids, also cones and cylinders with… …   The Collaborative International Dictionary of English

  • Quadric (projective geometry) — In projective geometry a quadric is the set of points of a projective space where a certain quadratic form on the homogeneous coordinates becomes zero. It may also be defined as the set of all points that lie on their dual hyperplanes, under some …   Wikipedia

  • quadric — /kwod rik/, Math. adj. 1. of the second degree (said esp. of functions with more than two variables). n. 2. a quadric function. 3. a surface such as an ellipsoid or paraboloid as defined by a second degree equation in three real variables. [1855… …   Universalium

  • quadric — The three dimensional surface represented by a general second degree equation in three variables. By a suitable choice of co ordinates sucha an equation can be reduced to one of the following standard equations If all of the ± are + then it… …   Dictionary of automotive terms

  • quadric — noun A surface whose shape is defined in terms of a quadratic equation …   Wiktionary

  • quadric — [ kwɒdrɪk] adjective Geometry denoting a surface or curve described by an equation of the second degree. Origin C19: from L. quadra square + ic …   English new terms dictionary

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