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Geometry Revisited

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Geometry Revisited

Geometry Revisited

H. S. M. Coxeter, University of Toronto
Samuel L. Greitzer, Rutgers University, New Jersey
No date available
Paperback
9780883856192
Paperback
    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.

    • Author is world's foremost geometer

    Reviews & endorsements

    'The book is rich in remarkable facts and thereby is very effective in promoting the significance and the value of geometry in mathematical teaching, a promotion which is very necessary.' Mathematical Reviews

    See more reviews

    Product details

    No date available
    Paperback
    9780883856192
    205 pages
    228 × 155 × 17 mm
    0.3kg

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    Contents

    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.
      • Show more
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    Additional Information
    About the authors
      Authors
    • H. S. M. Coxeter , University of Toronto
    • Samuel L. Greitzer , Rutgers University, New Jersey

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