Dificultades encontradas al demostrar vía algebraica algunos teoremas de geometría euclídea

• Autores: Eugenio Roanes Macías, Eugenio Roanes Lozano
• Localización: Boletín de la Sociedad Puig Adam de profesores de matemáticas, ISSN 1135-0261, Nº. 94, 2013 (Ejemplar dedicado a: Profesor José Javier Etayo Miqueo), págs. 55-69
• Idioma: español
• Texto completo no disponible (Saber más ...)
• Resumen

  • The article focuses on the prove of Euclidean geometry theorems using algebraic methods. In most of these theorems, the ideal generated by the hypothetics polynomials is a radical ideal, but an example in which this ideal is not radical has been found in dimension greater than 2. In this article, we show that some classical theorems in the Euclidean plane zuch that the mentioned ideal is not a radical one may be found. The difficulties that appear in such case an how they can be overcome are detailedusing an appropiate example.