A software tool for the investigation of plane loci

F. Botana and J.L. Valcarce

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 2, 139-152

Abstract: We describe the capabilities of Lugares for obtaining the equations and graphs of plane loci. Lugares is a Windows program written in Prolog that offers a standard dynamic geometry environment and uses the symbolic capabilities of CoCoA, a computer algebra system specialized in Groebner basis computations, or Mathematica. The main novelty in Lugares consists of the link between the dynamic geometry paradigm and a symbolic approach to automatic discovery in geometry. Through this link Lugares determines as a locus almost any algebraic curve specified by geometric conditions.

Keywords: Dynamic geometry; Symbolic computing; Symbolic–numeric interface; Groebner bases; Automatic discovery of loci (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (5)

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