Mathematicians from Alexandria read and quoted him, but the first comprehensive compilation was not made until c. Unlike his inventions, Archimedes' mathematical writings were little known in antiquity. Cicero describes visiting Archimedes' tomb, which was surmounted by a sphere and a cylinder, which Archimedes had requested be placed on his tomb to represent his mathematical discoveries. He is also credited with designing innovative machines, such as his screw pump, compound pulleys, and defensive war machines to protect his native Syracuse from invasion.ДЄrchimedes died during the siege of Syracuse, when he was killed by a Roman soldier despite orders that he should not be harmed. Archimedes' achievements in this area include a proof of the principle of the lever, the widespread use of the concept of center of gravity, and the enunciation of the law of buoyancy. He was also one of the first to apply mathematics to physical phenomena, founding hydrostatics and statics. ДЄrchimedes' 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 ( / ЛЊ Й‘Лђr k ЙЄ Л€ m iЛђ d iЛђ z/ Ancient Greek: бј€ПЃП‡О№ОјО®ОґО·П‚ Doric Greek: c.

Archimedes bathtub