Geometry revisited

Geometry revisited

Author
Greitzer, Samuel L.Coxeter, Harold S. M
Publisher
Mathematical Assoc. of America
Language
English
Year
2008
Page
XIV, 193 Seiten : Diagramme
ISBN
9780883856192,9780883859346,0883856190
File Type
pdf
File Size
7.2 MiB

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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