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Geometry Revisited

E-Book Download :Geometry Revisited (Format : djvu , Language : English)

Author : H. S. M. Coxeter, Samuel L. Greitzer
Publish :1996 / The Mathematical Association of America
ISBN10/ISBN13 : 0883856190/9780883856192
Pages :205

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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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