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This book presents the worked-out solutions for all the exercises in the text by Lang and Murrow. It will be of use not only to mathematics teachers, but also to students using the text for self-study.

This book presents the worked-out solutions for all the exercises in the text by Lang and Murrow. It will be of use not only to mathematics teachers, but also to students using the text for self-study.

This book is the sequel to Geometric Transformation I, which appeared in this series in 1962. Part 1 treats length-preserving transformation (called isometries); this volume treats shape-preserving transformations (called similarities); and Part III treats affine and protective transformations. These classes of transformation play a fundamental role in the group-theoretic approach to geometry.As in the previous volume, the treatment is direct and simple. The introduction of each new idea is supplemented by problems whose solutions employ the idea just presented, and whose detailed solutions are given in the second half of the book.

Although this book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, it can be studied independently. The book is devoted to the treatment of affine and projective transformations of the plane. These transformations include the congruencies and similarities investigated in the previous volumes.The simple text and the many problems are designed mainly to show how the principles of affine and projective geometry may be used to furnish relatively simple solutions of large classes of problems in elementary geometry, including some straight edge construction problems. In the supplement, the reader is introduced to hyperbolic geometry. The latter part of the book consists of detailed solutions of the problems posed throughout the text.