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collinear set

См. также в других словарях:

  • Erdős–Anning theorem — The Erdős–Anning theorem states that an infinite number of points in the plane can have mutual integer distances only if all the points lie on a straight line. It is named after Paul Erdős and Norman H. Anning, who proved it in 1945.An… …   Wikipedia

  • Ordered geometry — is a form of geometry featuring the concept of intermediacy (or betweenness ) but, like projective geometry, omitting the basic notion of measurement. Ordered geometry is a fundamental geometry forming a common framework for affine, Euclidean,… …   Wikipedia

  • Sylvester–Gallai theorem — The Sylvester–Gallai theorem asserts that given a finite number of points in the Euclidean plane, either all the points are collinear; or there is a line which contains exactly two of the points. This claim was posed as a problem by J. J.… …   Wikipedia

  • Oval (projective plane) — In mathematics, an oval in a projective plane is a set of points, no three collinear, such that there is a unique tangent line at each point (a tangent line is defined as a line meeting the point set at only one point, also known as a 1 secant).… …   Wikipedia

  • Line (geometry) — Three lines the red and blue lines have the same slope, while the red and green ones have same y intercept …   Wikipedia

  • Pappus's hexagon theorem — (attributed to Pappus of Alexandria) states that given one set of collinear points A , B , C , and another set of collinear points a , b , c , then the intersection points x , y , z of line pairs Ab and aB , Ac and aC , Bc and bC are collinear. ( …   Wikipedia

  • Cross-ratio — D is the harmonic conjugate of C with respect to A and B In geometry, the cross ratio, also called double ratio and anharmonic ratio, is a special number associated with an ordered quadruple of collinear points, particularly points on a… …   Wikipedia

  • Collineation — In projective geometry, a collineation is a one to one and onto map (a bijection) from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear. All projective linear …   Wikipedia

  • No-three-in-line problem — A set of 20 points in a 10 × 10 grid, with no three points in a line. In mathematics, in the area of discrete geometry, the no three in line problem, introduced by Henry Dudeney in 1917, asks for the maximum number of points that can be placed in …   Wikipedia

  • Vector notation — This page is an overview of the common notations used when working with vectors, which may be spatial or more abstract members of vector spaces.The common typographic convention for representing a vector is upright boldface type, as in v for a… …   Wikipedia

  • Dipole antenna — A schematic of a half wave dipole antenna connected to an unbalanced coaxial cable. Better practice is to connect the balanced dipole to the unbalanced line with a balun. A dipole antenna is a radio antenna that can be made of a simple wire, with …   Wikipedia

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