Solving geometric problems through experimental mathematics: use of dynamic geometric software to construct on unknown locus
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Universidad Industrial de Santander
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A través de un ejemplo de geometría euclidiana y utilizando el programa de geometría dinámica Cabri Géomètre, mostraremos cómo seguir un proceso para la solución de problemas mediante la matemática experimental que comprende dos momentos: la experimentación y la formalización. El problema que resolvemos es el siguiente: Dado un triángulo cualquiera, encontrar el lugar geométrico de todos los puntos en el plano tales que el triángulo simétrico lateral del triángulo dado sea rectángulo.
Through an example of Euclidean geometry and using the dynamic geometry software Cabri Géomètre, we show here how to follow a process to solve problems via experimental mathematics which include two phases: experimentation and formalization. The problem we solve is as follows: Given a triangle, find the locus for all points in the plane such that the lateral symmetrical triangle to triangle given be rectangle.
Through an example of Euclidean geometry and using the dynamic geometry software Cabri Géomètre, we show here how to follow a process to solve problems via experimental mathematics which include two phases: experimentation and formalization. The problem we solve is as follows: Given a triangle, find the locus for all points in the plane such that the lateral symmetrical triangle to triangle given be rectangle.
Keywords
experimental mathematics, dynamic geometry, locus, experimentación matemática, geometría dinámica, lugar geométrico