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We describe here a properly recent application of the Gröbner Cover algorithm (GC) providing an algebraic support to Dynamic Geometry computations of geometrical loci. It provides a complete algebraic solution of locus computation as well as a suitable taxonomy allowing to distinguish the nature of the different components. We included a new algorithm Locus into the Singular grobcov.lib library for this purpose. A web prototype has been implemented using it in Geogebra.
CitationAbanades, M. [et al.]. Software using the Gröbner cover for geometrical loci computation and classification. A: International Congress on Mathematical Software. "Mathematical Software : ICMS 2014 : 4th International Congress, Seoul, South Korea, August 5-9, 2014 : Proceedings". Seoul: 2014, p. 492-499.
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