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Historical Research Part One Submitted by Colonel (Ret) Louis A. K. Sylvester An Ancient Mathematician Archimedes of Syracuse Archimedes was a Greek mathematician and inventor born in 287BC in Syracuse, Sicily. He may have been the most towering mathematical figure of the ancient world. He was a great inventor, but had a lifelong fascination with geometry. He invented several hydraulic machines, including a device known as the Archimedean screw, which was applied to drainage and irrigation. This device is used in many parts of the world today. Archimedes discovered the law of specific gravity, (the weight of a body immersed in a liquid) still called Archimedes’ principle. His most celebrated, purely mathematical works are on the ratio of the cylinder and the sphere, the ratio of the circumference of a circle to the diameter (better know as “pi”), on spiral lines, and on the parabola. He wrote several books and treatises on these matters that have survived to this day; two books on spheres and cylinders; two books on floating bodies; one on the measurement of a circle; and one entitled The Sandreckoner , a work that details a numbering system capable of expressing numbers up to 8x10 to the 16th power in modern notation. When the Roman general Marcellus captured Syracuse in 212 BC, he did so with great difficulty because of the many engines of warfare that Archimedes devised to defend the city. These devices included catapults and slings that devastated the ranks of the Roman foot soldiers and the Roman naval fleet. Archimedes died in 212BC during the battle for Syracuse. For a more detailed account of this remarkable mathematician go to http://wwwgroups.dcs.st-and.ac.uk/~history/Mathematicians/Archimedes.html.