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The real projective plane

  • H. S. M. Coxeter

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This introduction to projective geometry can be understood by anyone familiar with high-school geometry and algebra. The restriction to real geometry of two dimensions allows every theorem to be illustrated by a diagram. The subject is, in a sense, even simpler than Euclid, whose constructions involved a ruler and compass: here we have constructions using rulers alone. A strict axiomatic treatment is followed only to the point of letting the student see how it is done, but then relaxed to avoid becoming tedious. After two introductory chapters, the concept of continuity is introduced by means of an unusual but intuitively acceptable axiom. Subsequent chapters then treat one- and two-dimensional projectivities, conics, affine geometry, and Euclidean geometry. Chapter 10 continues the discussion of continuity at a more sophisticated level, and the remaining chapters introduce coordinates and their uses. An appendix by George Beck describes Mathematica scripts that can generate illustrations for several chapters; they are provided on a diskette included with the book. (Both PC and Macintosh versions are available) Mathematica is a registered trademark.

Genres

  • Geometry, projective
  • Geometry, data processing
  • Projective Geometry
  • Data processing
  • Mathematics
  • Geometry, projective--data processing
  • Qa471 .c68 1993
  • 516/.5
  • Geometry
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About the author

  • H. S. M. Coxeter

    9 February 1907 - 31 March 2003

    5.00

    1 ratings · 22 works

Editions

  • Edition cover

    3rd ed.

    Springer-Verlag

    1993

  • Edition cover

    2d ed.

    University Press

    1960

  • Edition cover

    2d ed.

    University Press

    1955

  • Edition cover

    Springer

    Aug 08, 2013

Edition cover

Macintosh Version

Springer

December 1992

  • Edition cover

    Springer, Springer New York

    Oct 02, 2011

  • Edition cover

    Springer London, Limited

    2012

  • Edition cover

    1st ed.

    McGraw-Hill Book Co.

    1949

  • Edition cover

    2d ed.

    University Press

    1955

  • Edition cover

    2d ed.

    University Press

    1961

  • Edition cover

    2nd ed.

  • Edition cover

    Springer

    Feb 09, 2014

  • Edition cover

    2Rev Ed edition

    Cambridge University Press

    January 2, 1955

  • Edition cover

    2Rev Ed edition

    Cambridge University Press

    January 2, 1955

  • Edition cover

    McGraw-Hill

    1949

  • Edition cover

    2nd ed.

    Cambridge U.P.

    1955