Estudio de una contracción en el plano euclídeo

• Sergio Falcón ^[1]
  1. [1] Universidad de Las Palmas de Gran Canaria

     Universidad de Las Palmas de Gran Canaria

     Gran Canaria, España

     
• Localización: Boletín de la Sociedad Puig Adam de profesores de matemáticas, ISSN 1135-0261, Nº. 102, 2016, págs. 42-50
• Idioma: español
• Texto completo no disponible (Saber más ...)
• Resumen

  • It is well known that a contraction is simply a map from a metric space to itself, with the property that for any two points in the space, the distance between them is greater than or equal to the distance between their images under the contraction. According to this definition, we have created a special contraction that transforms the Euclidean plane onto the unit circle. The images under that contraction of a circle centred at the origin, the square of vertices the points (± 1, ± 1) and any straight line are calculated