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.
Year: 1967Publisher: The Mathematical Association of AmericaLanguage: EnglishAuthor : H. S. M. Coxeter, Samuel L. GreitzerPages: 193Series: New Mathematical Library 19Download Format : PDF