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Abstract

An important projective invariant, the cross-ratio of four collinear points, is defined. Some special configurations in two, three and four dimensions are introduced, including extensions of Desargues’ theorem, Sylvester’s ‘duads and synthemes’, desmic systems of tetrahedra, and Baker’s remarkable configuration derived from six points in a complex four-dimensional space.

Keywords

Projective Transformation Collinear Point Harmonic Conjugate Diagonal Point Reference Triangle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Eric Lord
    • 1
  1. 1.BangaloreIndia

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