Geometry Revisited
- ISBN-10
- 1470466414
- ISBN-13
- 9781470466411
- Category
- Mathematics
- Pages
- 193
- Language
- English
- Published
- 2021-12-30
- Publisher
- American Mathematical Society
- Authors
- H. S. M. Coxeter, S. L. Greitzer
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.
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