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Archimedes: Works
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The best known saying of Archimedes was that if he was given a long enough lever and a place to stand, he could move the world. This is meant to show the power of the lever. The lever is perhaps the simplest machine and can help a person to do more work than they would otherwise be able to do. Archimedes was not the first person to use a lever, but he did write about how it worked and what could be done to make it work better.
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Archimedes wrote a letter to the scholars in the Library of Alexandria, who apparently had downplayed the importance of Archimedes' works. In these letters, he dares them to count the numbers cattle in the Herd of the Sun by solving a number of simultaneous diophantine equations, some of them quadratic. This problem is one of the famous problems solved with the aid of a computer.
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In this work of 24 propositions addressed to Dositheus, Archimedes proves by two methods that the area enclosed by a parabola and a straight line is 4/3 multiplied by the area of a triangle with equal base and height. He achieves this by calculating the value of a geometric series that sums to infinity with the ratio
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Archimedes is considered one of the three greatest mathematicians of all time along with Newton and Gauss. In his own time, he was known as "the wise one," "the master" and "the great geometer" and his works and inventions brought him fame that lasts to this very day. He was one of the last great Greek mathematicians.
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Archimedes was an ancient Greek mathematician, philosopher, and inventor. It seems... that he did not think as much of his numerous inventions--important and fundamental as they were--as he did of his work in the field of mathematics.
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This is an unabridged republication of The Works of Archimedes (1897) and The Method of Archimedes (1912). Both works were edited by Thomas Little Heath. This book is the best source of the complete works of Archimedes in English
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