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Thursday, February 28, 2013

History of Pie

A Brief History of ?
Pi has been known for intimately 4000 yearsâ€"but even if we calculated the number of seconds in those 4000 years and calculated pi to that number of places, we would still l sensationsome(prenominal) be approximating its actual value. Heres a legal brief history of finding pi:
The ancient Babylonians calculated the bowl of a traffic circle by taking 3 multiplication the square of its radius, which gave a value of pi = 3. One Babylonian tablet (ca. 19001680 BC) indicates a value of 3.125 for pi, which is a closer contiguity. In the Egyptian Rhind Papyrus (ca.1650 BC), there is evidence that the Egyptians calculated the electron orbit of a circle by a formula that gave the adjudicate value of 3.1605 for pi. The ancient cultures mentioned above found their approximations by measurement. The number 1 calculation of pi was done by Archimedes of Syracuse (287212 BC), one of the greatest mathematicians of the ancient world. Archimedes approximated the area of a circle by using the Pythagorean Theorem to find the areas of two regular polygonal shapes: the polygon inscribed within the circle and the polygon within which the circle was line. Since the actual area of the circle lies between the areas of the inscribed and circumscribed polygons, the areas of the polygons gave upper and lower bounds for the area of the circle.

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Archimedes knew that he had non found the value of pi but only an approximation within those limits. In this way, Archimedes showed that pi is between 3 1/7 and 3 10/71. A similar set out was used by Zu Chongzhi (429501), a brilliant Chinese mathematician and astronomer. Zu Chongzhi would not have been familiar with Archimedes methodâ€"but because his book has been lost, little(a) is known of his work. He calculated the value of the ratio of the racing circuit of a circle to its diameter to be 355/113. To compute this trueness for pi, he must have started with an inscribed regular 24,576-gon and performed protracted calculations involving hundreds of square roots carried out to 9 decimal...If you want to mend a full essay, order it on our website: Ordercustompaper.com



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