Using Maple’s RegularChains Library to Automatically Classify Plane Geometric Loci

  • Francisco Botana
  • Tomás Recio
Conference paper

DOI: 10.1007/978-3-662-44199-2_75

Volume 8592 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Botana F., Recio T. (2014) Using Maple’s RegularChains Library to Automatically Classify Plane Geometric Loci. In: Hong H., Yap C. (eds) Mathematical Software – ICMS 2014. ICMS 2014. Lecture Notes in Computer Science, vol 8592. Springer, Berlin, Heidelberg

Abstract

We report a preliminary discussion on the usability of the RegularChains library of Maple for the automatic computation of plane geometric loci and envelopes in graphical interactive environments. We describe a simple implementation of a recently proposed taxonomy of algebraic loci, and its extension to envelopes of families of curves is also discussed. Furthermore, we sketch how currently unsolvable problems in interactive environments can be approached by using the RegularChains library.

Keywords

parametrical systems solving constructible sets dynamic geometry 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Francisco Botana
    • 1
  • Tomás Recio
    • 2
  1. 1.Universidad de VigoSpain
  2. 2.Universidad de CantabriaSpain