Geometric Transformations of the Plane

The words geometric transformation, if taken out of context, mean neither more nor less than a function that maps one set of geometric objects on another. However, those transformtaions that are worth studying have special properties, for example, like forming a group, preserving distances or angles. Various geometries can be defined as a study of invariants under specific groups of (geometric) transformations. Geometric transformations also provide powerful tools for solving geometric problems.

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References

  1. H. S. M. Coxeter, Introduction to Geometry, John Wiley & Sons, 1961
  2. C. Dodge, Euclidean Geometry and Transformations, Dover, 2004
  3. H. Eves, A Survey of Geometry, Allyn and Bacon, 1972
  4. D. Pedoe, Geometry: A Comprehensive Course, Dover, 1988
  5. I. M. Yaglom, Geometric Transformations I, II, III, MAA, 1962

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Copyright © 1996-2018 Alexander Bogomolny
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