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## PowerPoint Slideshow about ' And things it concerns' - marshall-best

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### PI

And things it concerns

What is pi?

- Here are two different dictionary definition of pi : the ratio of the circumference to the diameter of a circle; approximately equal to 3.14159265358979323846...
- Pi or π is a mathematical constant whose value is the ratio of any circle's circumference to its diameter in Euclidean space; same value as the ratio of a circle's area to the square of its radius. It is approximately equal to 3.14159…

How was pi started?

- Historians guess that around 2000 B.C. humans noticed that the ratio of circumference to diameter was the same for all circles. This discovery was based on the idea of proportion. Humans also noticed that if you double the distance across a circle, then you double the distance around it. In today's algebraic notation this implied the formula

where Pi is constant

Why do we need pi?

- The importance of the discovery is: Circles are everywhere - in the sun, the moon, the pupils of our eyes, the most basic shapes and the earliest man-made structures. Coming up with a greater mathematical understanding of Pi would lead to scientific and technological advances. Which would help to further the development of civilization, and also create some very interesting problems in pure math.
- But one problem remained - what is the numerical value of Pi?

But one problem was left - what is the numerical value of Pi?

- Here are a few images showing the numerical value of pi

Graph I created on Microsoft Excel to display the gradual change and development of pi

Graph cont. change and development of pi

Important people in the discovery of pi change and development of pi

- François Viète was a French amateur mathematician and astronomer who introduced the first systematic algebraic notation in his book In artem analyticam isagoge . He was also involved in deciphering codes.
- François Viète (1540-1603) determined that:

Cont. change and development of pi

- John Wallis was an English mathematician who built on Cavalieri's method of indivisibles to devise a method of interpolation. Using Kepler's concept of continuity he discovered methods to evaluate integrals.
- John Wallis (1616-1703) showed that:

Cont. change and development of pi

- Leonhard Euler was a Swiss mathematician who made enormous contibutions to a wide range of mathematics and physics including analytic geometry, trigonometry, geometry, calculus and number theory.
- Leonhard Euler (1707-1783) derived his famous formula:

Facts about pi change and development of pi

- Pi is a mathematical term
- Pi is an infinite number that will never stop
- Pi has an official symbol which is
- Pi has its own day
- Pi has been studied and improved upon over many years

My opinions on pi change and development of pi

- Pi is an incredibly important discovery in mathematics today and in the past.
- I think it is great that pi has it own official holiday although few people know about it is still important and should continue to have its own day.
- Pi is a huge number that personally blows my mind and its also great.

Pi pictures change and development of pi

Celebratory pi day video change and development of pi

- http://www.youtube.com/watch?v=NBqVvAU-gdg&NR=1

Cartoon to celebrate pi day change and development of pi

Happy pi day change and development of pi

- Mrs. Smith is my favorite teacher ever and I wish you luck with your baby.

By: Jesse Matthews

Work sited page change and development of pi

- http://mathforum.org/isaac/problems/pi2.html
- http://www.angio.net/pi/piquery
- http://www.newton.dep.anl.gov/askasci/math99/math99010.htm
- http://www.iit.edu/~smile/ma9709.html
- http://www.book-of-thoth.com/archives-article-7390.html
- http://mathforum.org/isc/problems/pi1.html
- http://answers.yahoo.com/question/index?qid=20080226020909AAPDiqZ

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