3. Desarguesian Affine Planes

  1. M. K. Bennett

Published Online: 22 FEB 2011

DOI: 10.1002/9781118032565.ch3

Affine and Projective Geometry

Affine and Projective Geometry

How to Cite

Bennett, M. K. (1995) Desarguesian Affine Planes, in Affine and Projective Geometry, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118032565.ch3

Publication History

  1. Published Online: 22 FEB 2011
  2. Published Print: 4 AUG 1995

ISBN Information

Print ISBN: 9780471113157

Online ISBN: 9781118032565

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Keywords:

  • Desarguesian affine planes;
  • Desargues' theorem;
  • addition on lines;
  • multiplication on lines;
  • Pappus' theorem

Summary

This chapter contains sections titled:

  • The Fundamental Theorem

  • Addition on Lines

  • Desargues' Theorem

  • Properties of Addition in Affine Planes

  • The Converse of Desargues' Theorem

  • Multiplication on Lines of an Affine Plane

  • Pappus' Theorem and Further Properties