Geometry Revisited
ISBN: 0883856190
Category: Technical
Tag: Science/Engineering
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Posted on 2007-12-09. By anonymous.
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H. S. M. Coxeter, Samuel L. Greitzer, "Geometry Revisited"
Publisher: The Mathematical Association of America | Pages: 207 | ISBN: 0883856190 | DjVu | 1.5 Mb
Publisher: The Mathematical Association of America | Pages: 207 | ISBN: 0883856190 | DjVu | 1.5 Mb
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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