Suchergebnisse
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The purpose of On Floating Bodies I-II was to determine the positions that various solids will assume when floating in a fluid, according to their form and the variation in their specific gravities. The work is known for containing the first statement of what is now known as Archimedes' principle.
On Floating Bodies (in two books) survives only partly in Greek, the rest in medieval Latin translation from the Greek. It is the first known work on hydrostatics, of which Archimedes is recognized as the founder. Its purpose is to determine the positions that various…
ON FLOATING BODIES, BOOK I; Archimedes; Edited by Thomas L. Heath; Book: The Works of Archimedes; Online publication: 07 September 2010; Chapter DOI: https://doi.org/10.1017/CBO9780511695124.019
In On Floating Bodies, Archimedes suggested that (c. 246 BC): Any object, totally or partially immersed in a fluid or liquid, is buoyed up by a force equal to the weight of the fluid displaced by the object. Archimedes' principle allows the buoyancy of any floating object partially or fully immersed in a fluid to be calculated. The ...
8. Juni 2009 · Measurement of a circle. On conoids and spheroids. On spirals. On the equilibrium of planes, books I-II. The sand-reckoner. Quadrature of the parabola. On floating bodies, books I-II. Book of lemmas. The cattle-problem [including the solution of Wurm's problem by Amthor in Zeitschrift für math. u. phys. [Hist. litt. abth.] v. 25, 1880]
Book I of On Floating Bodies begins with a derivation of Archimedes’s Law of Buoyancy from more fundamental principles and finishes with a simple, elegant geometric proof that a floating segment of a homogeneous solid sphere is always in stable equilibrium when its base is parallel to the surface of the fluid, either above the
Of his works that survive, the second of his two books of On Floating Bodies is considered his most mature work, commonly described as a tour de force. This book contains a detailed investigation of the stable equilibrium positions of floating right paraboloids of various shapes and relative densities, but restricted to the case when the base ...
