Towards a Completion of Archimedes' Treatise on Floating Bodies

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dc.creatorGirstmair, Kurt
dc.creatorKirchner, Gerhard
dc.date2007-06-01
dc.date.accessioned2026-07-07T08:03:51Z
dc.date.available2026-07-07T08:03:51Z
dc.descriptionIn 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.
dc.description17 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0706.0119
dc.identifierhttp://arxiv.org/abs/0706.0119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129734
dc.subjectHistory and Overview
dc.subjectMathematical Physics
dc.subject70-03,01A20,70C20
dc.titleTowards a Completion of Archimedes' Treatise on Floating Bodies
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