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Spiral similarity is a plane transformation in mathematics composed of a rotation and a dilation. It is used widely in Euclidean geometry to facilitate the proofs of many theorems and other results in geometry, especially in mathematical competitions and Olympiads. Though the origin of this idea is not known, it was documented in 1967 by Coxeter in his book Geometry Revisited.

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  • Eine Drehstreckung ist eine Ähnlichkeitsabbildung, die sich als Kombination der beiden geometrischen Operationen Drehung und Streckung darstellen lässt. Im 2D-Raum (Ebene) ist sie durch 2 Transformationsparameter charakterisiert, bei zusätzlicher Parallelverschiebung durch 4 Parameter. Im hier nicht behandelten 3D-Fall sind es 4 bzw. 7 Parameter, siehe 7-Parameter-Transformation. (de)
  • Spiral similarity is a plane transformation in mathematics composed of a rotation and a dilation. It is used widely in Euclidean geometry to facilitate the proofs of many theorems and other results in geometry, especially in mathematical competitions and Olympiads. Though the origin of this idea is not known, it was documented in 1967 by Coxeter in his book Geometry Revisited. (en)
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  • Eine Drehstreckung ist eine Ähnlichkeitsabbildung, die sich als Kombination der beiden geometrischen Operationen Drehung und Streckung darstellen lässt. Im 2D-Raum (Ebene) ist sie durch 2 Transformationsparameter charakterisiert, bei zusätzlicher Parallelverschiebung durch 4 Parameter. Im hier nicht behandelten 3D-Fall sind es 4 bzw. 7 Parameter, siehe 7-Parameter-Transformation. (de)
  • Spiral similarity is a plane transformation in mathematics composed of a rotation and a dilation. It is used widely in Euclidean geometry to facilitate the proofs of many theorems and other results in geometry, especially in mathematical competitions and Olympiads. Though the origin of this idea is not known, it was documented in 1967 by Coxeter in his book Geometry Revisited. (en)
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  • Drehstreckung (de)
  • Spiral similarity (en)
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