Geometry revisited
著者
書誌事項
Geometry revisited
(New mathematical library, 19)
Mathematical Association of America, c1967
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注記
Bibliography: p. 181-182
内容説明・目次
内容説明
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.
目次
- 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.
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