The History Of The Approximations Of PI

The History of the Approximations of p         Throughout history, roughly people screen to trulyise out what the constant was of the ratio of the circumference of a circle to its diameter. There had been many ideas and resemblances given to people by the Babylonians, Egyptians, Indians and the Chinese (Archimedes Approximations of Pi). Even in the record were there references to the songful theme of pi. Fin bothy, in 250 BC, a man named Archimedes do a major contribution to mathematics by sexual climax up with a method to approximate the cheer of pi.         The frontmost calculations of pi occurred in Egypt and Babylon two thousand years in advance savior. The approximation that the Egyptians came up with was (4/3)^4 and the Babylonians came up with the value of 3 1/8. or so this same time distributor point the Indians had come up with the approximation of the squargon root of 10 for pi. tout ensemble of these approximation s were right further to matchless decimal place. Also, the use of pi was found in the bible in two polar sections. The first existence 1 Kings 7:23: ¦and he made a molten sea, ten cubits from hotshot border to the other: it was traffic circle about¦and a phone line of thirty cubits did compass it obese about. The other verse in the bible is from 2 Chronicles 4:2. It explains the specifications for the great temple of Solomon. So, the value of pi in the bible was approximated to 3 use uply, without any decimal points. When Archimedes decided to find a better version of pi around 250 BC, he did it truly methodically. He decided to find it with the use of polygons. First he found the area of a square inscribed in a circle. hence he substituted a square for a pentagon, then(prenominal) a polygon with sides of 12, then 24, then 48, and finis with 96 sides (Archimedes Approximations of Pi). He agnize that the polygons would fit the outside of the circle. Wh en one became too small and then next became! too large, he knew that whatever number was in between was the number that he was looking for. That was the number of pi. nowadays we recognize pi as being either 22/7 or to a greater extent commonly approximated to 3.14. The actual number is 3.1415926535¦it goes on for over 6.4 jillion place determine (The Pi Project).         After Archimedes did his draw and research, many other mathematicians did some much work on crystalise of his. It started with alKhwarizmi in 800 AD and he came up with the answer of 3.1416. Then it went to AlKashi in 1430 AD who found 14 decimal places afterwardswards the number. Next was Roomen in 1561 who came up with 17 decimal places. And in conclusion it was avant-garde Ceulen in 1600 who came up with 35 decimal places. Obviously, since straight take a authority there are over 6.4 billion decimal places, there were many more mathematicians who did much greater work on this (The Pi Project). So really, there was no real make headway in the work, just a trivial more toughness put into it.         It wasnt proven that pi was an exact value or truly irrational until 1761. This was proven by Lambert. But, in 1882, a guy named Lindemann proved that pi was not just irrational, it was otherworldly (The Pi Project). This means that it is impossible to play pi as an exact expression.         The history of pi is a great one that has been going on since sometime way before Christ and will probably continue after we are all gone from this earth. It seems that just more and more people are contributing to the idea of pi and what on the dot it represents. The main capture of it all though was Archimedes. BIBLIOGRAPHY Archimedes Approximations of Pi. 3 supercilious 1997. On-Line. 8 may 2001.         Available WWW:         http://itech.fgcu.edu/faculty/clindsey/mhf4404/archimedes/archimedes.html The Pi Project. On-Line. 8 M ay 2001. Available WWW:         http:! //www.ma.utexas.edu/users/tyilk/PiProj/PiHistory.htm If you want to beat a full essay, order it on our website: OrderEssay.net

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