id: 06356559
dt: j
an: 2014f.00649
au: Caglayan, Günhan
ti: Exploring Archimedes’ quadrature of parabola with GeoGebra snapshots.
so: Technol. Knowl. Learn. 19, No. 1-2, 101-115 (2014).
py: 2014
pu: Springer Netherlands, Dordrecht
la: EN
cc: G70 I20 I40 U70
ut: quadrature of parabola; area; dynamic geometry software
ci:
li: doi:10.1007/s10758-014-9216-6
ab: Summary: This snapshot offers methods of solving the quadrature of
parabola, the area of the region (parabolic segment) bounded by the
parabola and a chord, using Archimedes’ ideas of infinite sums and
limits. In the first section, I provide the background of this problem
along with relevant terminology and propositions from the works of
Archimedes. The second section illustrates an exploration of this
problem based on snapshots used in GeoGebra technology, a dynamic
geometry software (DGS) that intertwines algebra, geometry, and
spreadsheets environments.
rv: