Towards a Completion of Archimedes' Treatise on Floating Bodies

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In 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 figures

Keywords

History and Overview, Mathematical Physics, 70-03,01A20,70C20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/129734

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.0119
 http://arxiv.org/abs/0706.0119

Collections

arXiv