Archimedes' principle of confusion regarding Archimedes' principle is the meaning of displaced volume. Common demonstrations involve measuring the rise in water level when an object floats on the surface in order to calculate the displaced water. This measurement approach fails with a buoyant submerged object because the rise in the water level is directly related to the volume of the object and not the mass (except if the effective density of the object equals exactly the fluid density). (note that this idea is not Archimedes' principle). Archimedes' principle Archimedes' principle states that the upward buoyant force that is exerted on a body
Archimedes and the Cylinder I, II", "On Spirals", "On Conoids and Spheroids", "On Floating Bodies I, II", "On the Measurement of a Circle", "The Sand Reckoner". c. Boyer, Carl Benjamin "A History of Mathematics" (1991) "Arabic scholars inform us that the familiar area formula for a triangle in terms of its three sides, usually known as Heron's formula — "k" = , where "s" is the semiperimeter — was known to Archimedes several centuries before Heron lived. Arabic scholars also attribute to Archimedes the 'theorem on the broken chord' ... Archimedes is reported by the Arabs to have given several proofs