Geometric Transformations III: Affine and Projective Transformations

I. M. Yaglom; Abe Shenitzer

doi:10.5948/UPO9780883859391

This book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It 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.

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Geometric Transformations III

Affine and Projective Transformations

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Contents

Frontmatter
pp i-vi

Contents
pp vii-vii

Translator's Preface
pp viii-viii

From the Author's Preface
pp 1-1

Introduction. What is Geometry? (Final Essay)
pp 2-8

Chapter I - Affine and Projective Transformations (Affinities and Projectivities)
pp 9-102

Supplement Non-Euclidean Geometry of Lobachevsky-Bolyai (Hyperbolic Geometry)
pp 103-135

Solutions
pp 136-237

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Affine and Projective Transformations

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