collinear mapping

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• 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

• 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

• Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …   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

• 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

• Pappus configuration — In projective geometry, the Pappus configuration consists of a pair (( A , B , C ), ( D , E , F )) of triplets of points, which pair is located either on a pair of lines or on two sides of a conic section, with a hexagon AECDBF defined on the… …   Wikipedia

• Split-complex number — A portion of the split complex number plane showing subsets with modulus zero (red), one (blue), and minus one (green). In abstract algebra, the split complex numbers (or hyperbolic numbers) are a two dimensional commutative algebra over the real …   Wikipedia

• Hausdorff dimension — In mathematics, the Hausdorff dimension (also known as the Hausdorff–Besicovitch dimension) is an extended non negative real number associated to any metric space. The Hausdoff dimension generalizes the notion of the dimension of a real vector… …   Wikipedia

• Nonuniform rational B-spline — Non uniform rational B spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. History Development of NURBS (Non Uniform Rational Basis Spline) began in the 1950s by engineers …   Wikipedia

• Non-uniform rational B-spline — Three dimensional NURBS surfaces can have complex, organic shapes. Control points influence the directions the surface takes. The outermost square below delineates the X/Y extents of the surface …   Wikipedia

• Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) …   Wikipedia