Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley’s remarkable theorem on angle trisectors. The transformational point of view is reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.

Table of Contents

Chapter 1 Points and Lines Connected with a Triangle

Chapter 2 Some Properties of Circles

Chapter 3 Collinearity  and Concurrence

Chapter 4 Transformations

Chapter 5 An Introduction to Inversive Geometry

Chapter 6 An Introduction to Projective Geometry