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New Mathematical Library - 19: Geometry Revisited

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  • 193pages
  • 7 heures de lecture

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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

Langue
Année de publication
1967
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(souple),
État du livre
Bon
Prix
31,49 €

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Titre
New Mathematical Library - 19: Geometry Revisited
Langue
Anglais
Format
souple
Pages
193
ISBN10
0883856190
ISBN13
9780883856192
Séries
Description
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.