A symbolic-numeric dynamic geometry environment for the computation of equidistant curves

Description

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.

Abstract

Ministerio de Economía y Competitividad

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