Geometry revisited
Author(s)
Bibliographic Information
Geometry revisited
(New mathematical library, 19)
Mathematical Association of America, c1967
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Note
Bibliography: p. 181-182
Description and Table of Contents
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.
Table of Contents
- 1. Points and lines connected with a triangle
- 2. Some properties of circles
- 3. Collinearity and concurrence
- 4. Transformations
- 5. An introduction to inversive geometry
- 6. An introduction to projective geometry.
by "Nielsen BookData"