History Of Pie In Maths For Project Pdf Files

History of pie in maths for project pdf files

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Pi is a name given to the ratio of the circumference of a circle to the diameter. That means, for any circle, you can divide the circumference the distance around the circle by the diameter and always get exactly the same number. It doesn't matter how big or small the circle is, Pi remains the same.

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Pi is often written using the symbol and is pronounced "pie", just like the dessert. History Pi web sites Do it yourself Pi The Digits Formulas A Brief History of Pi Ancient civilizations knew that there was a fixed ratio of circumference to diameter that was approximately equal to three.

The Greeks refined the process and Archimedes is credited with the first theoretical calculation of Pi. In Lambert proved that Pi was irrational, that is, that it can't be written as a ratio of integer numbers.

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In Lindeman proved that Pi was transcendental, that is, that Pi is not the root of any algebraic equation with rational coefficients. This discovery proved that you can't "square a circle", which was a problem that occupied many mathematicians up to that time. More information on squaring the circle. How many digits are there?

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Does it ever end? Because Pi is known to be an irrational number it means that the digits never end or repeat in any known way.

History of pie in maths for project pdf files

But calculating the digits of Pi has proven to be an fascination for mathematicians throughout history. Some spent their lives calculating the digits of Pi, but until computers, less than 1, digits had been calculated.

In , a computer calculated 2, digits and the race was on.

History of pie in maths for project pdf files

Millions of digits have been calculated, with the record held as of September by a supercomputer at the University of Tokyo that calculated ,,, digits. Pi Web Sites Pi continues to be a fascination of many people around the world.

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If you are interested in learning more, there are many web sites devoted to the number Pi. There are sites that offer thousands, millions, or billions of digits, pi clubs, pi music, people who calculate digits, people who memorize digits, Pi experiments and more. Check this Yahoo page for a complete listing.

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A Cool Pi Experiment One of the most interesting ways to learn more about Pi is to do pi experiments yourself. Here is a famous one called Buffon's Needle. In Buffon's Needle experiment you can drop a needle on a lined sheet of paper.

If you keep track of how many times the needle lands on a line, it turns out to be directly related to the value of Pi. First decimal places 3. See Power Summations 2 for simplified expressions without the Bernoulli notation of these sums for given values of k.

History of pie in maths for project pdf files

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History of pie in maths for project pdf files