Before I talk about the history of Pi I want to explain what Pi is. Webster's Collegiate Dictionary defines Pi as "1: the 16th letter of the Greek alphabet... 2 a: the symbol pi denoting the ratio of the circumference of a circle to its diameter b: the ratio itself: a transcendental number having a value to eight decimal places of 3.14159265" A number can be placed into several categories based on its properties. Is it prime or composite? Is it imaginary or real? Is it transcendental or algebraic? These questions help define a number's behavior in different situations. In order to understand where Pi fits in to the world of mathematics, one must understand several of its properties pi is irrational and pi is transcendental. A rational number is one that can be expressed as the fraction of two integers. Rational numbers converted into decimal notation always repeat themselves somewhere in their digits. For example, 3 is a rational number as it can be written as 3/1 and in decimal notation it is expressed with an infinite amount of zeros to the right of the decimal point. 1/7 is also a rational number. Its decimal notation is 0.142857142857…, a repetition of six digits. However, the square root of 2 cannot be written as the fraction of two integers and is therefore irrational. For many centuries prior to the actual proof, mathematicians had thought that pi was an irrational number. The first attempt at a proof was by Johaan Heinrich Lambert in 1761. Through a complex method he proved that if x is rational, tan(x) must be irrational. It follows that if tan(x) is rational, x must be irrational. Since tan(pi/4)=1, pi/4 must be irrational; therefore, pi must be irrational. Many people saw Lambert's proof as too simplified an answer for such a complex and long-lived problem. In 1794, however, A. M. Legendre found another proof which backed Lambert up. This new proof also went as far as to prove that Pi^2 was also irrational. In the long history of the...

...The History of Pi
The History of Pi
Most individuals who have a general mathematical education that touches on the basics of geometry commonly know pi. The definition of pi is the ratio of the circumference to the diameter of the circle (Smoller, 2001). The majority of the population, however, does not realize the history associated with the symbol, which not only spans throughout the...

...What is π?
Webster's Collegiate Dictionary defines π as "1: the 16th letter of the Greek alphabet... 2 a: the symbol pi denoting the ratio of the circumference of a circle to its diameter b: the ratio itself: a transcendental number having a value to eight decimal places of 3.14159265"
A number can be placed into several categories based on its properties. Is it prime or composite? Is it imaginary or real? Is it transcendental or algebraic? These questions help define a...

...History of Pi
There are many people who have discovered and proved what pi is. As time goes on people discover more and more of the seemingly random numbers. Four of the people who proved pi are the Liu Hui, Archimedes of Syracuse, James Gregory, and the Bible.
The first proof I will be talking about is Liu Hui’s. Liu Hui was a Chinese mathematician whose method for proving pi was to find the area of a polygon...

...epigraphy, numismatics, monuments Literary sources: Indigenous: Primary and secondary; poetry, scientific literature, literature, literature in regional languages, religious literature. Foreign accounts: Greek, Chinese and Arab writers.
2. Pre-history and Proto-history: Geographical factors; hunting and gathering (paleolithic and mesolithic); Beginning of agriculture (neolithic and chalcolithic).
3. Indus Valley Civilization: Origin, date, extent,...

...The History of Pi
Throughout the history of mathematics, one of the most enduring challenges has been the calculation of the ratio between a circle's circumference and diameter, which has come to be known by the Greek letter pi. From ancient Babylonia to the Middle Ages in Europe to the present day of supercomputers, mathematicians have been striving to calculate the mysterious number. They have searched for exact fractions, formulas,...

...wRGEARJGNEJRLK HREJKH ERN GREKGERgkwergwEGJ WJRE GWKJER GWKERGKWERJG KW EJRGKJEW GEWKJG WJKEW tgkjE WGWEwejk GREJkgerkah earh jkearherakjh earkjh earkjh eraljherajl heral jhreajl heraj lheralj heralj her jlheraljh earh erah teh eat haahearh erah eath eath eta heth urhgqaehg isodghsdouihgaeuhwrg rwlnslnsdlgnetlnlsnrlgneorignerg eth yrh yr wehfb ygrwugy wrghrGrigirGW BER GBR TB AD B ADB RTAH ART HBAED TH ATEH ERTA HET AH RTH AER G ERAG ERA GE RAG REA GYA ER TRE HG R gera ha terh aerh brt h...

...
Today one of the most cherished ideologies of America is the fact that everyone is and should be created equal. With this cherished ideology bringing a sense of pride and diversity to America we must keep in mind that this cherished ideology did not always exist. Since 1865 various individuals and groups have not been able to receive and express their rights to full equal status in the United States. These different individuals and groups have seemingly fought for their rights in...

...Name:
Date:
Graded Assignment
Final Exam Part 2
I. Map
On this world map, indicate the following features:
Amazon Rainforest
Panama Canal
The Himalayas
The Ring of Fire
The Mississippi River
The Gobi Desert
(10 points)
II. Graphic Organizer
Fill in the table below about these five major world religions. Do not fill in the shaded boxes.
(10 points)
Religion
Name at least
one Holy Text
How do you achieve
enlightment?
Describe their view about the afterlife....

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