@article {MATHEDUC.06644791,
author = {Franco, Francesco},
title = {Some results on the elliptic cycloid. (Alcuni risultati sulla cicloide ellittica.)},
year = {2015},
journal = {Archimede},
volume = {67},
number = {2},
issn = {0390-5543},
pages = {59-66},
publisher = {Le Monnier, Firenze},
abstract = {Summary: The present work can be placed in the context of classical studies relating to the ``roulette''. Consider an ellipse rolling on a straight line; we intend to determine the area subtended by the curve generated by a point located at the endpoint of an axis of the ellipse during a complete rolling. We find a general formula, given by: $A_{\text{CE}}=(2\alpha a^2+b^2)\pi$, where it is assumed that the point is located at an endpoint of the axis $a$; this result includes the particular case of the area subtended by the ordinary cycloid (the corresponding formula was proved by Torricelli in 1644).},
msc2010 = {G70xx},
identifier = {2016f.01057},
}