Geometry Revisited

Geometry Revisited
ISBN-10
0883856190
ISBN-13
9780883856192
Category
Mathematics
Pages
212
Language
English
Published
1967
Publisher
MAA
Authors
H. S. M. Coxeter, Samuel 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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