# Completing Book II of Archimedes’s On Floating Bodies

```@article{Rorres2004CompletingBI,
title={Completing Book II of Archimedes’s On Floating Bodies},
author={Chris Rorres},
journal={The Mathematical Intelligencer},
year={2004},
volume={26},
pages={32-42}
}```
• C. Rorres
• Published 1 September 2004
• Physics
• The Mathematical Intelligencer
ConclusionOne need only glance at Archimedes’s Proposition 8 above to see thatOn Floating Bodies is several orders of magnitude more sophisticated than anything else found in ancient mathematics. It ranks with Newton’sPrincipia Mathematica as a work in which basic physical laws are both formulated and accompanied by superb applications.
26 Citations
Archimedes' floating bodies on a spherical Earth
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
• Physics
• 2006
Stability and control of floating bodies is a major aspect of navigation from ancient to modern times. It is indeed remarkable that Archimedean concepts continue to guide watercraft designers even
Archimedes the Mathematician
Although Archimedes’ fame among the general populace in antiquity was based on his military machines, inventions, and legends, he earned his true immortality through his mathematical works. Here I
Mechanics of floating bodies
• Mathematics
Proceedings of the Royal Society A
• 2021
We introduce and study the mechanical system which describes the dynamics and statics of rigid bodies of constant density floating in a calm incompressible fluid. Since much of the standard
Floating body problems in two dimensions 1
Stanislav Ulam asked if the sphere is the only object floating in neutral equilibrium in every orientation and negative answer was provided recently. Here, several related problems are discussed. The
Floating Body Problems in Two Dimensions
Stanislav Ulam asked if the sphere is the only object floating in neutral equilibrium in every orientation and a negative answer was provided recently. Here, several related problems are discussed.
Mathematics of Floating 3D Printed Objects
• Computer Science
• 2022
This work explores the stability of ﬂoating objects through mathematical modeling and experimentation, based on standard ideas of center of gravity, center of buoyancy, and Archimedes’ Principle, and identifies a potential energy landscape that helps identify stable and unstable orientations.
Floating Bodies in the Absence of Gravity
The study of infinitely long cylinders of constant cross-section floating in an infinite fluid bath in zero-gravity environments has primarily been focused on bodies whose crosssections are strictly
Using surface integrals for checking Archimedes' law of buoyancy
A mathematical derivation of the force exerted by an inhomogeneous (i.e. compressible) fluid on the surface of an arbitrarily shaped body immersed in it is not found in the literature, which may be