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Full Description
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, quadrilaterals, and conics are developed.
Contents
1. Points and lines connected with a triangle; 2. Some properties of circles; 3. Collinearity and concurrence; 4. Transformations; 5. An introduction to inversive geometry; 6. An introduction to projective geometry.