Dificultades encontradas al demostrar vía algebraica algunos teoremas de geometría euclídea
ISSN: 1135-0261
Année de publication: 2013
Titre de la publication: Profesor José Javier Etayo Miqueo
Número: 94
Pages: 55-69
Type: Article
D'autres publications dans: Boletín de la Sociedad Puig Adam de profesores de matemáticas
Résumé
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.