orthogonal geometry

orthogonal geometry
мат. ортогональная геометрия

Большой англо-русский и русско-английский словарь. 2001.

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  • Orthogonal group — Group theory Group theory …   Wikipedia

  • Orthogonal convex hull — The orthogonal convex hull of a point set In Euclidean geometry, a set is defined to be orthogonally convex if, for every line L that is parallel to one of the axes of the Cartesian coordinate system, the intersection of K with L is empty, a… …   Wikipedia

  • Orthogonal — Orthogonalité L équation régissant la propagation de la chaleur se résout à l aide de l orthogonalité dans un espace de dimension infinie. En mathématiques, l orthogonalité est un concept d algèbre linéaire associé à une forme bilinéaire. Un cas… …   Wikipédia en Français

  • Orthogonal symmetric Lie algebra — In mathematics, an orthogonal symmetric Lie algebra is a pair consisting of a real Lie algebra and an automorphism s of of order 2 such that the eigenspace of s corrsponding to 1 (i.e., the set of fixed points) is a compact subalgebra. If compa …   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

  • Inversive geometry — Not to be confused with Inversive ring geometry. In geometry, inversive geometry is the study of those properties of figures that are preserved by a generalization of a type of transformation of the Euclidean plane, called inversion. These… …   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

  • Hyperbolic geometry — Lines through a given point P and asymptotic to line R. A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparall …   Wikipedia

  • Hypercycle (geometry) — In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight line.Given a straight line L and a point P not on L, we can construct a hypercycle by taking… …   Wikipedia

  • Hyperbolic-orthogonal — In mathematics, two points in the Cartesian plane are hyperbolically orthogonal if the slopes of their rays from the origin are reciprocal to one another.If the points are ( x , y ) and ( u , v ), then they are hyperbolically orthogonal if : y /… …   Wikipedia

  • Duality (projective geometry) — A striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this metamathematical concept. There are two approaches to the subject of …   Wikipedia


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