Bibliographic Information

Geometry revisited

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

(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.

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Details

  • NCID
    BA01272688
  • ISBN
    • 0883856190
  • LCCN
    67020607
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Washington, D.C.
  • Pages/Volumes
    xiv, 193 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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