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hyperbolic quadric

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  • 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 — 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

  • hyperbolic paraboloid — noun Date: 1842 a saddle shaped quadric surface whose sections by planes parallel to one coordinate plane are hyperbolas while those sections by planes parallel to the other two are parabolas if proper orientation of the coordinate axes is… …   New Collegiate Dictionary

  • hyperbolic paraboloid — noun : a saddle shaped quadric surface whose sections by planes parallel to one coordinate plane are hyperbolas while those sections by planes parallel to the other two are parabolas if proper orientation of the coordinate axes is assumed …   Useful english dictionary

  • Klein quadric — The lines of a 3 dimensional projective space S can be viewed as points of a 5 dimensional projective space T. In that 5 space T the points that represent a line of S lie on a hyperbolic quadric Q known as the Klein quadric.If the underlying… …   Wikipedia

  • Ovoid (polar space) — An ovoid O of a (finite) polar space of rank r is a set of points, such that every subspace of rank r − 1 intersects O in exactly one point. Contents 1 Cases 1.1 Symplectic polar space 1.2 Hermitian polar space …   Wikipedia

  • Generalized quadrangle — A generalized quadrangle is an incidence structure. A generalized quadrangle is by definition a polar space of rank two. They are the generalized n gons with n=4. They are also precisely the partial geometries pg(s,t,alpha). DefinitionA… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   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

  • Alhazen — For the Moon crater, see Alhazen (crater). For the asteroid, see 59239 Alhazen. Alhazen Alhazen (Ibn al Haytham) …   Wikipedia

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