real quadric
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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 — 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 — /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 — quad•ric [[t]ˈkwɒd rɪk[/t]] adj. 1) math. quadratic 2) math. a surface such as an ellipsoid or paraboloid as defined by a second degree equation in three real variables • Etymology: 1855–60 … From formal English to slang
quadric — /ˈkwɒdrɪk/ (say kwodrik) Mathematics –adjective 1. of the second degree, said especially of functions with more than two variables. –noun 2. a surface such as an ellipsoid or paraboloid as defined by a second degree equation in three real… …
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
Lie sphere geometry — is a geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere. It was introduced by Sophus Lie in the nineteenth century. [The definitive modern textbook on Lie sphere geometry is Harvnb|Cecil|1992 … Wikipedia
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
Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… … Wikipedia
Conformal geometry — In mathematics, conformal geometry is the study of the set of angle preserving (conformal) transformations on a space. In two real dimensions, conformal geometry is precisely the geometry of Riemann surfaces. In more than two dimensions,… … Wikipedia
Stereographic projection — In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point mdash; the projection point. Where it is defined, the mapping is … Wikipedia
