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Archimedes |
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Archimedes (ärkĭmē`dēz), 287–212 B.C., Greek mathematician, physicist, and inventor. He is famous for his work in geometry (on the circle, sphere, cylinder, and parabola), physics, mechanics, and hydrostatics. He lived most of his life in his native Syracuse, where he was on intimate terms with the royal family. Few facts of his life are known, but tradition has made at least two stories famous. In one story, he was asked by Hiero II to determine whether a crown was pure gold or was alloyed with silver. Archimedes was perplexed, until one day, observing the overflow of water in his bath, he suddenly realized that since gold is more dense (i.e., has more weight per volume) than silver, a given weight of gold represents a smaller volume than an equal weight of silver and that a given weight of gold would therefore displace less water than an equal weight of silver. Delighted at his discovery, he ran home without his clothes, shouting "Eureka," which means "I have found it." He found that Hiero's crown displaced more water than an equal weight of gold, thus showing that the crown had been alloyed with silver (or another metal less dense than gold). In the other story he is said to have told Hiero, in illustration of the principle of the lever, "Give me a place to stand, and I will move the world." He invented machines of war (Second Punic War) so ingenious that the besieging armies of Marcus Claudius Marcellus were held off from Syracuse for three years. When the city was taken, the general gave orders to spare the scientist, but Archimedes was killed. Nine of Archimedes' treatises, which demonstrate his discoveries in mathematics and in floating bodies, are extant. They are On the Sphere and Cylinder, On the Measurement of the Circle, On the Equilibrium of Planes, On Conoids and Spheroids, On Spirals, On the Quadrature of the Parabola, Arenarius [or sand-reckoner], On Floating Bodies, and On the Method of Mechanical Theorems. Archimedes' many contributions to mathematics and mechanics include calculating the value of π, devising a mathematical exponential system to express extremely large numbers (he said he could numerically represent the grains of sand that would be needed to fill the universe), developing Archimedes' principle Archimedes' principle, principle that states that a body immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid. The principle applies to both floating and submerged bodies and to all fluids, i.e., liquids and gases. ..... Click the link for more information. , and inventing Archimedes' screw Archimedes' screw, a simple mechanical device believed to have been invented by Archimedes in the 3d cent. B.C. It consists of a cylinder inside of which a continuous screw, extending the length of the cylinder, forms a spiral chamber. ..... Click the link for more information. . BibliographySee studies by T. L. Heath (1953) and E. J. Dijksterhuis (1956). Archimedes(born c. 290–280 BC, Syracuse, Sicily—died 212/211 BC, Syracuse) Legendary Greek inventor and mathematician. His principal discoveries were the Archimedes screw, an ingenious device for raising water, and the hydrostatic principle, or Archimedes' principle. His main interests were optics, mechanics, pure mathematics, and astronomy. Archimedes' mathematical proofs show both boldly original thought and a rigour meeting the highest standards of contemporary geometry. His approximation of π was not improved on until after the Middle Ages, and translations of his works were important influences on 9th-century Arab and 16th- and 17th-century European mathematicians. In his native city, Syracuse, he was known as a genius at devising siege and countersiege weapons. He was killed by a Roman soldier during the storming of the city. Archimedes ?287--212 bc, Greek mathematician and physicist of Syracuse, noted for his work in geometry, hydrostatics, and mechanics Archimedes (287–212 B.C.) discovered fluid displacement principle while bathing. [Gk. Hist.: Wallechinsky, 272]
See : Discovery Archimedes (287–212 B. C.) invented military engine which saved Syracuse. [Gk. Hist.: Hall, 31] See : Inventiveness
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