Article ID: CBB410118444

Archimedes' Floating Bodies on a Spherical Earth (2016)

unapi

Archimedes was the first to systematically find the centers of gravity of various solid bodies and to apply this concept in determining stable configurations of floating bodies. In this paper, we discuss an error in a proof developed by Archimedes that involves determining whether a uniform, spherical cap will float stably with its base horizontal in a liquid on a spherical Earth. We present a simpler, corrected proof and discuss aspects of his proof regarding a spherical cap that is not uniform.

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Authors & Contributors
Netz, Reviel
Saito, Ken
Geymonat, Mario
Archimedes
Zhao, Jiwei
Tchernetska, Natalie
Journals
Studies in History and Philosophy of Science
Sciamvs: Sources and Commentaries in Exact Sciences
Polhem: Tidskrift för Teknikhistoria
Nuncius: Annali di Storia della Scienza
Notices of the American Mathematical Society
Journal of Dialectics of Nature
Publishers
Walker & Company
Walker
Kyoritsushuppan
Dover
Da Capo Press
Baylor University Press
Concepts
Mathematics
Geometry
Biographies
Philosophy
Technology
Transmission of texts
People
Archimedes
Euclid
Aristotle
Heiberg, Johan Ludvig
Eutocios
Catullus, Gaius Valerius
Time Periods
Ancient
Medieval
19th century
Places
Greece
Rome (Italy)
Denmark
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