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He also proved that the volume of a sphere is
two-thirds the volume of a cylinder that circumscribes the
sphere. In mechanics, Archimedes defined the principle of
the lever and is credited with inventing the compound
pulley. During his stay in Egypt he invented the hydraulic
screw for raising water from a lower to a higher level. He is
best known for discovering the law of hydrostatics, often
called Archimedes' principle, which states that a body
immersed in fluid loses weight equal to the weight of the
amount of fluid it displaces. This discovery is said to have
been made as Archimedes stepped into his bath and
perceived the displaced water overflowing, and after
viewing that had ran outside into the streets naked
screaming "Eureka!(I found it!)" Archimedes spent the
major part of his life in Sicily, in and around Syracuse...
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