What Is a Line ?

  • Dominique Michelucci
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6877)

Abstract

The playground is the projective complex plane. The article shows that usual, naive, lines are not all lines. From naive lines (level 0), Pappus geometry creates new geometric objects (circles or conics) which can also be considered as (level 1) lines, in the sense that they fulfil Pappus axioms for lines. But Pappus theory also applies to these new lines. A formalization of Pappus geometry should enable to automatize these generalizations of lines.

Keywords

Intersection Point Common Point Generalize Line Common Line Dynamic Geometry Software 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Dominique Michelucci
    • 1
  1. 1.Dijon University, LE2I, CNRS 5158France

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