書誌事項

Geometry revisited

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

(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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詳細情報
  • NII書誌ID(NCID)
    BA01272688
  • ISBN
    • 0883856190
  • LCCN
    67020607
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Washington, D.C.
  • ページ数/冊数
    xiv, 193 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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