Dificultades encontradas al demostrar vía algebraica algunos teoremas de geometría euclídea
ISSN: 1135-0261
Datum der Publikation: 2013
Titel der Ausgabe: Profesor José Javier Etayo Miqueo
Nummer: 94
Seiten: 55-69
Art: Artikel
Andere Publikationen in: Boletín de la Sociedad Puig Adam de profesores de matemáticas
Zusammenfassung
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.