Presentation
A symbolic-numeric dynamic geometry environment for the computation of equidistant curves
Author/s | Abánades Astudillo, Miguel Ángel
Botana Ferreiro, Francisco |
Editor | Díaz Báñez, José Miguel
Garijo Royo, Delia Márquez Pérez, Alberto Urrutia Galicia, Jorge |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Publication Date | 2013 |
Deposit Date | 2017-05-19 |
Published in |
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Abstract | A web-based system that determines point/curve and curve/curve bisectors in a dynamic geometry system in a completely automatic way is presented. The system consists of an interactive drawing canvas where the bisector is ... A web-based system that determines point/curve and curve/curve bisectors in a dynamic geometry system in a completely automatic way is presented. The system consists of an interactive drawing canvas where the bisector is displayed together with the initial point/curve elements. Algebraic methods are used to provide the equation of an algebraic variety containing the bisector. A numeric approach is followed to provide the graph of the semi-algebraic subset corresponding to the true bisector. It is based on the free dynamic geometry system GeoGebra and the open source computer algebra system Sage. |
Project ID. | MTM2011-25816-C02-(01,02) |
Citation | Abánades Astudillo, M.Á. y Botana Ferreiro, F. (2013). A symbolic-numeric dynamic geometry environment for the computation of equidistant curves. En XV Spanish Meeting on Computational Geometry, Sevilla. |
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