id: 06659304
dt: j
an: 2016f.01414
au: Roanes Macías, E.; Roanes Lozano, E.
ti: Reproducing with GeoGebra the computation of a sphere’s volume due to
Archimedes. (Recreando con GeoGebra el cálculo del volumen de la
esfera ideado por Arquímedes.)
so: Bol., Soc. “Puig Adam” Profr. Mat., No. 102, 62-72 (2016).
py: 2016
pu: Sociedad “Puig Adam" de Profesores de Matemáticas, Madrid
la: ES
cc: U70 G40
ut: GeoGebra; sphere; volume; Pythagoras theorem
ci:
li:
ab: Summary: 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 Archimedes. 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, based on the use of
a 3D DGS system, is both eye-catching and of educational interest.
rv: