homothety

homothety

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  • homothetic — homothety /heuh moth i tee, hoh /, n. /hoh meuh thet ik, hom euh /, adj. Geom. similar; similarly placed. [1875 80; HOMO + THETIC] * * * …   Universalium

  • 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

  • Projective vector field — A projective vector field (projective) is a smooth vector field on a semi Riemannian manifold (p.ex. spacetime) M whose flow preserves the geodesic structure of M without necessarily preserving the affine parameter of any geodesic. More… …   Wikipedia

  • Conformal pictures — Here are examples of conformal maps understood as deforming pictures. This technique is a generalization of domain coloring where the domain space is not colored by a fixed infinite color wheel but by a finite picture tiling the plane. A… …   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

  • Function composition — For function composition in computer science, see function composition (computer science). g ∘ f, the composition of f and g. For example, (g ∘ f)(c) = #. In mathematics, function composition is the application of one function to the resul …   Wikipedia

  • Dilation — (or dilatation) refers to an enlargement or expansion in bulk or extent, the opposite of contraction. It derives from the Latin dilatare, to spread wide . In physiology: Pupillary dilation, dilation of the pupil of the eye Cervical dilation, the… …   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

  • Kähler manifold — In mathematics, a Kähler manifold is a manifold with unitary structure (a U ( n ) structure) satisfying an integrability condition.In particular, it is a complex manifold, a Riemannian manifold, and a symplectic manifold, with these three… …   Wikipedia

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