Using Maple's RegularChains library to automatically classify plane geometric loci

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 extensio...

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Detalles Bibliográficos
Autores: Botana Ferreiro, Francisco Ramón|||0000-0002-0212-6470, Recio Muñiz, Tomás|||0000-0002-1011-295X
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/5393
Acceso en línea:http://hdl.handle.net/10902/5393
Access Level:acceso abierto
Palabra clave:Parametrical systems solving
Constructible sets
Dynamic geometry
Descripción
Sumario: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.