Geometry revisited

by H.S.M. Coxeter and S.L. Greitzer

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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  • 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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書名 Geometry revisited
著作者等 Greitzer, Samuel L
Coxeter, H. S. M.
Coxeter H. S. M.
シリーズ名 New mathematical library
出版元 Mathematical Association of America
刊行年月 c1967
ページ数 xiv, 193 p.
大きさ 23 cm
ISBN 0883856190
NCID BA01272688
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言語 英語
出版国 アメリカ合衆国