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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.
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New Mathematical Library - 19: Geometry Revisited, H. S. M. Coxeter, Samuel L. Greitzer
- Sprache
- Erscheinungsdatum
- 1967
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- Titel
- New Mathematical Library - 19: Geometry Revisited
- Sprache
- Englisch
- Autor*innen
- H. S. M. Coxeter, Samuel L. Greitzer
- Erscheinungsdatum
- 1967
- Einband
- Paperback
- Seitenzahl
- 193
- ISBN10
- 0883856190
- ISBN13
- 9780883856192
- Reihe
- Schlagwörter
- Sachbücher, Lehrbücher, Wissenschaft & Mathematik, Wissenschaft, Mathematik, Geometrie
- Beschreibung
- 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.