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On Floating Bodies (Greek: Περὶ τῶν ἐπιπλεόντων σωμάτων) is a work, originally in two books, by Archimedes, one of the most important mathematicians, physicists, and engineers of antiquity.
27 de jun. de 2024 · Proposition 1. If a surface be cut by a plane always passing through a certain point, and if the section be always a circumference [of a circle] whose centre is the aforesaid point, the surface is that of a sphere. For, if not, there will be some two lines drawn from the point to the surface which are not equal.
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.
8 de jun. de 2009 · 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]
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 of the paraboloid lies either entirely above or entirely below the fluid surface.
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
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.
