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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.
Nákup knihy
New Mathematical Library - 19: Geometry Revisited, H. S. M. Coxeter, Samuel L. Greitzer
- Jazyk
- Rok vydania
- 1967
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- Titul
- New Mathematical Library - 19: Geometry Revisited
- Jazyk
- anglicky
- Vydavateľ
- American Mathematical Society
- Rok vydania
- 1967
- Väzba
- mäkká
- Počet strán
- 193
- ISBN10
- 0883856190
- ISBN13
- 9780883856192
- Série
- Anotácia
- 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.