There isn't anywhere that lists an exact date for the discovery of the Archimedes Principle. The closest that could be found was that the special event occurred some time 2200 years ago somewhere between 287 BC and 212 BC.
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Archimedes Principal is the principal for buoyancy
Archimedes studied astronomy, engineering, mathematics, and war tactics.
Archimedes discovered how to work out the area of the circle, and he also discovered pi.
"Eureka!" (I have found it!) - his shout after discovering of so called Archimedes' Principle.
Archimedes is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cyclinder. He is known for his formulation of a hydrostatic principle (known as Archimedes' principle) and a device for raising water, still used in developing countries, known as the Archimedes screw.