Geometry Revisited

H. S. M. Coxeter,S. L. Greitzer

Geometry Revisited
Format
Paperback
Publisher
American Mathematical Society
Country
United States
Published
30 January 2022
Pages
193
ISBN
9781470466411

Geometry Revisited

H. S. M. Coxeter,S. L. Greitzer

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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