# 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.

- Plane Isometries
- Plane Isometries As Complex Functions
- Affine Transformations (definition)
- Inversion
- Projective transformation (definition)

### References

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

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