Computing bisectors in a dynamic geometry environment

In this note, an approach combining dynamic geometry and automated deduction techniques is used to study the bisectors between points and curves. Usual teacher constructions for bisectors are discussed, showing that inherent limitations in dynamic geometry software impede their thorough study. We sh...

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Detalles Bibliográficos
Autor: Botana Ferreiro, Francisco Ramón|||0000-0002-0212-6470
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/5257
Acceso en línea:http://hdl.handle.net/10902/5257
Access Level:acceso abierto
Palabra clave:Bisector
Geometric loci
Dynamic geometry
Descripción
Sumario:In this note, an approach combining dynamic geometry and automated deduction techniques is used to study the bisectors between points and curves. Usual teacher constructions for bisectors are discussed, showing that inherent limitations in dynamic geometry software impede their thorough study. We show that the interactive sketching of bisectors and an automatic treatment of the algebraic problem involved can give a reasonable knowledge about them. Since some cases are currently out of computational scope, despite the simplicity of the bisector problem, we sketch an alternative method for dealing with them.