W.C. BRYANT H.S. Stefanos Tsartsalis Essays - Buoyancy, Archimedes

W.C. BRYANT H.S.Stefanos Tsartsalis MATH- 024/29/98 ARCHIMEDES (287-212 BC.) Archimedes was the first scientist to use the power of the lever. This gifted Greek mathematician and inventor once said, "Give me a place to stand and rest my lever on, and I can move the Earth." He also discovered the compound pulley and Archimedes'screw. Archimedes was a brilliant mathematician who helped develop geometry. He discovered the relation between the surface area and volume of a sphere and those of its circumscribing cylinder. A legend says that Archimedes discovered the principle of displacement while stepping into a full bath. He realized that the water that ran over equaled in volume the part of his body that was in the water. Through more experiments, he presumed the principle of ability to float, which is called the Archimedes' principle. According to this principle a body dipped in a fluid loses as much in weight as the weight of an equal volume of the fluid. Another legend describes how Archimedes uncovered a fraud against King Hieron II of Syracuse using his idea of flotation. The king suspected that a solid gold crown he ordered was partly made of silver. Archimedes first took two equal weights of gold and silver and compared their weights when put in water. Next he compared the weights of the crown and a pure silver crown of identical dimensions when each was put in water. The difference between these two comparisons revealed that the crown was not solid gold. Archimedes was born in Syracuse, Sicily. He lived there most of his life. When the Romans attacked Syracuse, Archimedes invented weapons to defend the city. He is said to have suggested a method of employing mirrors to set enemy ships on fire. After a two year attack the Romans finally entered the city, and Archimedes was killed in the next battle.