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Geometry Revisited

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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.

Author(s): H. S. M. Coxeter, Samuel L. Greitzer
Series: Mathematical Association of America Textbooks
Edition: 1ST
Publisher: The Mathematical Association of America
Year: 1967

Language: English
Pages: 205