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 emphasized: reflections, rotations, translations,
similarities, inversions, and affine and projective
transformations. Many fascinating properties of circles, triangles,... more...