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
Archimedes
Yusta, Piedad
Young, C. K.
Wilson, Nigel G.
Concepts
Mathematics
Geometry
Biographies
Transliteration; transcription
Physics
Manuscripts
Time Periods
Ancient
19th century
Places
Greece
Rome (Italy)
Denmark
Babylon (extinct city)
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