Archimedes was born 287 BC in Syracuse, Sicily, and he died 212 BC in Syracuse. Archimedes greatest contributions were in geometry. His methods anticipated the integral calculus 2,000 years before Newton and Leibniz.
Archimedes was a native of Syracuse, Sicily. Stories from Plutarch, Livy, and others describe machines invented by Archimedes for the defence of Syracuse. These include the catapult, the compound pulley and a burning-mirror.
Among Archimedes most famous works is *Measurement of the Circle* , in which he put the exact value of between the values 3/ and 3/. This he obtained by circumscribing and inscribing a circle with regular polygons having 96 sides.

Archimedes proved, among many other geometrical results, that the volume of a sphere is two-thirds the volume of a circumscribed cylinder. This he considered his most significant accomplishments, requesting that a representation of a cylinder circumscribing a sphere be inscribed on his tomb.

His fascination with geometry is beautifully described by Plutarch.

*Oftimes Archimedes' servants got him against his will to the baths, to wash and anoint him; and yet being there, he would ever be drawing out of the geometrical figures, even in the very embers of the chimney. And while they were anointing of him with oils and sweet savours, with his fingures he drew lines upon his naked body; so far was he taken from himself, and brought into ecstasy or trance, with the delight he had in the study of geometry.*

Archimedes discovered fundamental theorems concerning the centre of gravity of plane figures and solids. His most famous theorem gives the weight of a body immersed in a liquid, called Archimedes' principal.
Archimedes' mechanical skill together with his theoretical knowledge enabled him to construct many ingenious machines. Archimedes spent some time in Egypt, where he invented a device now known as Archimedes' screw. This is a pump, still used in many parts of the world.

He was killed during the capture of Syracuse by the Romans in the Second Punic War. Plutarch recounts this story of his killing: