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Archimedes was primarily focused on solving problems related to geometry, physics, and mathematics, including calculating areas and volumes of shapes. One of his famous problems involved determining the volume of a sphere and its relationship to the cylinder that encloses it. He also worked on understanding buoyancy and the principles of levers, famously stating, "Give me a place to stand, and I shall move the Earth." His work laid foundational principles for calculus and mechanics.

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