La proposta didattica dell’approccio geometrico alla fisica dei galleggianti secondo Archimede (parte prima)

In the study of physical problems the purely geometrical aspects that are hidden in the nature of the phenomena are often neglected. The aim of our training intervention is the recovery of these aspects linked to the geometric sensibility so dear to the mathematicians of Hellenistic Greece. We consider the problem of buoyancy present in Book II of Archimedes'on Floating Bodies. Starting from the modeling of a hull as a paraboloid of rotation, on the basis of the relative density of the material of which the hull is made, the height and the characteristic parameter of the paraboloid, we obtain the conditions of stability and reach a remarkable result of bifurcation. The experimentation takes place in laboratory form through the use of GeoGebra Classes.