collinearity of three points

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• 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

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

• projective geometry — the geometric study of projective properties. [1880 85] * * * Branch of mathematics that deals with the relationships between geometric figures and the images (mappings) of them that result from projection. Examples of projections include motion… …   Universalium

• 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

• Incidence (geometry) — In geometry, the relations of incidence are those such as lies on between points and lines (as in point P lies on line L ), and intersects (as in line L1 intersects line L2 , in three dimensional space). That is, they are the binary relations… …   Wikipedia

• Rational trigonometry — is a recently introduced approach to trigonometry that eschews all transcendental functions (such as sine and cosine) and all proportional measurements of angles. In place of angles, it characterizes the separation between lines by a quantity… …   Wikipedia

• Desargues' theorem — Perspective triangles. Corresponding sides of the triangles, when extended, meet at points on a line called the axis of perspectivity. The lines which run through corresponding vertices on the triangles meet at a point called the center of… …   Wikipedia

• geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… …   Universalium

• Hough transform — The Hough transform (pronEng|ˈhʌf, rhymes with tough ) is a feature extraction technique used in image analysis, computer vision, and digital image processing. [Shapiro, Linda and Stockman, George. “Computer Vision,” Prentice Hall, Inc. 2001] The …   Wikipedia

• Affine transformation — In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis , connected with ) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation::x… …   Wikipedia