РефератыИностранный языкArArchimides Essay Research Paper Archimedes 287212 BC

Archimides Essay Research Paper Archimedes 287212 BC

Archimides Essay, Research Paper


Archimedes (287-212 BC), preeminent Greek


mathematician and inventor, who wrote important works


on plane and solid geometry, arithmetic, and mechanics.


Archimedes was born in Syracuse, Sicily, and educated in


Alexandria, Egypt. In pure mathematics he anticipated


many of the discoveries of modern science, such as the


integral calculus, through his studies of the areas and


volumes of curved solid figures and the areas of plane


figures. He also proved that the volume of a sphere is


two-thirds the volume of a cylinder that circumscribes the


sphere. In mechanics, Archimedes defined the principle of


the lever and is credited with inventing the compound


pulley. During his stay in Egypt he invented the hydraulic


screw for raising water from a lower to a higher level. He is


best known for discovering the law of hydrostatics, often


called Archimedes’ principle, which states that a body


immersed in fluid loses weight equal to the weight of the


amount of fluid it displaces. This discovery is said to have


been made as Archimedes stepped into his bath and


perceived the displaced water overflowing, and after


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viewing that had ran outside into the streets naked


screaming "Eureka!(I found it!)" Archimedes spent the


major part of his life in Sicily, in and around Syracuse. He


did not hold any public office but devoted his entire lifetime


to research and experiment. During the Roman conquest of


Sicily, however, he placed his gifts at the disposal of the


state, and several of his mechanical devices were employed


in the defense of Syracuse. Among the war machines


attributed to him are the catapult and-perhaps legendary-a


mirror system for focusing the sun’s rays on the invaders’


boats and igniting them. After the capture of Syracuse


during the Second Punic War, Archimedes was killed by a


Roman soldier who found him drawing a mathematical


diagram in the sand. It is said that Archimedes was so


absorbed in calculation that he offended the intruder merely


by remarking, "Do not disturb my diagrams." Several of his


works on mathematics and mechanics survive, including


Floating Bodies, The Sand Reckoner, Measurement of the


Circle, Spirals, and Sphere and Cylinder. They all exhibit


the rigor and imaginativeness of his mathematical thinking.

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