@article {MATHEDUC.06644800,
author = {Ancora, Luciano},
title = {Quadrature of the parabola with the square pyramidal number. (Quadratura della parabola con il numero piramidale quadrato.)},
year = {2014},
journal = {Archimede},
volume = {66},
number = {3},
issn = {0390-5543},
pages = {139-144},
publisher = {Le Monnier, Firenze},
abstract = {Summary: Drawing the parabolic segment with the Archimedes triangle, equivalent triangles are detected into the $n\times n$ trapezoids grid; so we can measure a figure circumscribed to the segment and the entire construction triangle. It is seen that these figures contains respectively: $P_n$ (the square pyramidal number) and $n^3$ triangles. For $n$ tending to infinity the ratio of these quantities tends to $1/3$, that proves the Archimedean theorem.},
msc2010 = {G70xx (K20xx)},
identifier = {2016f.01058},
}