Geometric transformations. 1. Euclidean and affine transformations

This book is intended for use in geometry seminars in
universities and teacher-training colleges. It may also be used
as supplementary reading by high school teachers who wish to
extend their range of knowledge. Finally, many sections may
be used as source material for school mathematics clubs under
the guidance of a teacher.
The subject matter is those transformations of the plane that
preserve the fundamental figures of geometry: straight lines
and circles. In particular, we discuss orthogonal, affine, pro-
jective, and similarity transformations, and inversions.
The treatment is elementary, though in a number of in-
stances (where a synthetic treatment seems more cumbersome)
coordinate methods are used. A little use is also made of vec-
tor algebra, but the text here is self-contained.