He was also one of the first to apply mathematics to physical phenomena, founding hydrostatics and statics. Īrchimedes' other mathematical achievements include deriving an approximation of pi defining and investigating the spiral that now bears his name and devising a system using exponentiation for expressing very large numbers. Considered to be the greatest mathematician of ancient history, and one of the greatest of all time, Archimedes anticipated modern calculus and analysis by applying the concept of the infinitely small and the method of exhaustion to derive and rigorously prove a range of geometrical theorems, including: the area of a circle the surface area and volume of a sphere area of an ellipse the area under a parabola the volume of a segment of a paraboloid of revolution the volume of a segment of a hyperboloid of revolution and the area of a spiral. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. 212 BC) was a Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. Archimedes of Syracuse ( / ˌ ɑːr k ɪ ˈ m iː d iː z/ Ancient Greek: Ἀρχιμήδης Doric Greek: c.
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