Coxeter H.S.M., Greitzer S.L. Geometry Revisited

The Mathematical Association of America, Inc.,1967. — 205 p. — ISBN10: 0883856190Among 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 emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.Points and Lines Connected with a Triangle
Some Properties of Circles
CoWnearity and Concurrence
Transformations
An Introduction to Inversive Geometry
An Introduction to Projective Geometry
Hints and Answers to Exercises