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center of homothety

См. также в других словарях:

  • Johnson circles — In geometry, a set of Johnson circles comprise three circles of equal radius r sharing one common point of intersection H . In such a configuration the circles usually have a total of four intersections (points where at least two of them meet):… …   Wikipedia

  • Homothetic transformation — In mathematics, a homothety (or homothecy or dilation) is a transformation of space which takes each line into a parallel line (in essence, a similarity that is similarly arranged). All dilatations form a group in either affine or Euclidean… …   Wikipedia

  • List of geometry topics — This is list of geometry topics, by Wikipedia page.*Geometric shape covers standard terms for plane shapes *List of mathematical shapes covers all dimensions *List of differential geometry topics *List of geometers *See also list of curves, list… …   Wikipedia

  • Napoleon's theorem — In mathematics, Napoleon s theorem states that if equilateral triangles are constructed on the sides of any triangle, either all outward, or all inward, the centres of those equilateral triangles themselves form an equilateral triangle. The… …   Wikipedia

  • Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …   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

  • Invariant (mathematics) — In mathematics, an invariant is a property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually… …   Wikipedia

  • Dilation (mathematics) — In mathematics, a dilation is a function fnof; from a metric space into itself that satisfies the identity:d(f(x),f(y))=rd(x,y) ,for all points x , y , where d ( x , y ) is the distance from x to y and r is some positive real number. In Euclidean …   Wikipedia

  • Medial triangle — The red triangle is the medial triangle of the black. The endpoints of the red triangle coincide with the midpoints of the black triangle. The medial triangle of a triangle ABC is the triangle with vertices at the midpoints of the triangle s… …   Wikipedia

  • Transformation (function) — In mathematics, a transformation could be any function mapping a set X on to another set or on to itself. However, often the set X has some additional algebraic or geometric structure and the term transformation refers to a function from X to… …   Wikipedia

  • Dilation (metric space) — In mathematics, a dilation is a function f from a metric space into itself that satisfies the identity for all points (x,y) where d(x,y) is the distance from x to y and r is some positive real number. In Euclidean space, such a dilation is a… …   Wikipedia

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