Presentation on theme: "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;"— Presentation transcript:
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?
Here are a few images showing the numerical value of pi But one problem was left - what is the numerical value of Pi?
Person/PeopleYearValue Babylonians~2000 B.C.3 1/8 Egyptians~2000 B.C.(16/9)^2= 3.1605 Chinese~1200 B.C.3 Old Testament~550 B.C.3 Archimedes~300 B.C.proves 3 10/71<Pi<3 1/7 Ptolemy~200 A.D.377/120=3.14166... Chung Huing~300 A.D.sqrt(10)=3.16... Wang Fau263 A.D.157/50=3.14 Tsu Chung-Chi~500 A.D.proves 3.1415926<Pi<3.1415929 Aryabhatta~5003.1416 Brahmagupta~600sqrt(10) Graph I created on Microsoft Excel to display the gradual change and development of pi
Graph cont. Fibonacci12203.141818 Ludolph van Ceulen1596Calculates Pi to 35 decimal places Machin1706100 decimal places Lambert1766Proves Pi is irrational Richter1855500 decimal places Lindeman1882Proves Pi is transcendental Ferguson1947808 decimal places Pegasus Computer19577,840 decimal places IBM 70901961100,000 decimal places CDC 66001967500,000 decimal places
Important people in the discovery 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. 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. 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 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 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.