Geometry Revisited
H. S. M. Coxeter, Samuel L. Greitzer, "Geometry Revisited"
1967 | ISBN-10: 0883856190 | 193 pages | Djvu | 2 MB
1967 | ISBN-10: 0883856190 | 193 pages | Djvu | 2 MB
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.