2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129734In his treatise on floating bodies Archimedes determines the equilibrium positions of a floating paraboloid segment, but only in the case when the basis of the segment is either completely outside of the fluid or completely submerged. Here we give a mathematical model for the remaining case, i.e., two simple conditions which describe the equilibria in closed form. We provide tools for finding all equilibria in a reliable way and for the classification of these equilibria. This paper can be considered as a continuation of a recent article of Rorres.17 pages, 3 figuresHistory and OverviewMathematical Physics70-03,01A20,70C20text