Geometry Revisited
Author | : H. S. M. Coxeter |
Publisher | : American Mathematical Society |
Total Pages | : 193 |
Release | : 2021-12-30 |
ISBN-10 | : 9781470466411 |
ISBN-13 | : 1470466414 |
Rating | : 4/5 (11 Downloads) |
Download or read book Geometry Revisited written by H. S. M. Coxeter and published by American Mathematical Society. This book was released on 2021-12-30 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.