Recreando con GeoGebra el cálculo del volumen de la esfera ideado por Arquímedes

  1. E. Roanes Macías 1
  2. E Roanes Lozano
  1. 1 Uni
Zeitschrift:
Boletín de la Sociedad Puig Adam de profesores de matemáticas

ISSN: 1135-0261

Datum der Publikation: 2016

Nummer: 102

Seiten: 62-72

Art: Artikel

Andere Publikationen in: Boletín de la Sociedad Puig Adam de profesores de matemáticas

Zusammenfassung

We recreate with the dynamic geometry system (DGS) GeoGebra, that now incorporates powerful 3D capabilities, the famous construction deduction of the calculation of the volume of a sphere due to Arquimedes. This classic construction-deduction uses two 3D auxiliary figures: a cone and a cylinder, whose volumes are much easier to obtain. Using this approach, the end-user of the DGS can easily visualize how the problem is reduced to something as simple as Pytagoras theorem. We believe that this recreation, base don the use of a 3D DGS system, is both eyecatching and of educational interest.