# homothetic transformation

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**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**homothetic transformation**— Math. See similarity transformation (def. 1) … Useful english dictionary**Homothetic center**— In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar figures can be seen as a dilation/contraction of one another. If the center is external , 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**similarity transformation**— Math. 1. Also called homothetic transformation. a mapping of a set by which each element in the set is mapped into a positive constant multiple of itself, the same constant being used for all elements. 2. an operation performed upon a square… … Universalium**similarity transformation**— Math. 1. Also called homothetic transformation. a mapping of a set by which each element in the set is mapped into a positive constant multiple of itself, the same constant being used for all elements. 2. an operation performed upon a square… … Useful english dictionary**List of mathematics articles (H)**— NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… … Wikipedia**Conformal map**— For other uses, see Conformal (disambiguation). A rectangular grid (top) and its image under a conformal map f (bottom). It is seen that f maps pairs of lines intersecting at 90° to pairs of curves still intersecting at 90°. In mathematics, 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**Similarity (geometry)**— Geometry = Two geometrical objects are called similar if one is congruent to the result of a uniform scaling (enlarging or shrinking) of the other. One can be obtained from the other by uniformly stretching , possibly with additional rotation,… … Wikipedia