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arXiv · 1306.1900

A dynamic symbolic geometry environment based on the GröbnerCover algorithm for the computation of geometric loci and envelopes

Miguel A. Abánades·Francisco Botana
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Abstract

An enhancement of the dynamic geometry system GeoGebra for the automatic symbolic computation of algebraic loci and envelopes is presented. Given a GeoGebra construction, the prototype, after rewriting the construction as a polynomial system in terms of variables and parameters, uses an implementation of the recent GröbnerCover algorithm to obtain the algebraic description of the sought locus/envelope as a locally closed set. The prototype shows the applicability of these techniques in general purpose dynamic geometry systems.

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Miguel A. Abánades, Francisco Botana. 2013-06-08. A dynamic symbolic geometry environment based on the GröbnerCover algorithm for the computation of geometric loci and envelopes. https://arxiv.org/abs/1306.1900

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