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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
- Taal
- Jaar van publicatie
- 1967
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- Titel
- New Mathematical Library - 19: Geometry Revisited
- Taal
- Engels
- Auteurs
- H. S. M. Coxeter, Samuel L. Greitzer
- Uitgever
- American Mathematical Society
- Jaar van publicatie
- 1967
- Formaat
- Paperback
- Aantal pagina's
- 193
- ISBN10
- 0883856190
- ISBN13
- 9780883856192
- Reeks
- Aantekening
- 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.