Archimedes' floating bodies on a spherical Earth

  title={Archimedes' floating bodies on a spherical Earth},
  author={C. Rorres},
  journal={American Journal of Physics},
  • C. Rorres
  • Published 2016
  • Physics
  • American Journal of Physics
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… Expand