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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.
Zakup książki
New Mathematical Library - 19: Geometry Revisited, H. S. M. Coxeter, Samuel L. Greitzer
- Język
- Rok wydania
- 1967
- Oprawa
- (miękka)
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- Tytuł
- New Mathematical Library - 19: Geometry Revisited
- Język
- angielski
- Autorzy
- H. S. M. Coxeter, Samuel L. Greitzer
- Rok wydania
- 1967
- Oprawa
- miękka
- Liczba stron
- 193
- ISBN10
- 0883856190
- ISBN13
- 9780883856192
- Seria
- Tagi
- Podręczniki, Nauka, Geometria
- Opis
- 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.