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 number's behavior in different situations. In order to understand where π fits in to the world of mathematics, one must understand several of its properties: π is irrational and π is transcendental.

The History of π

In the long history of the number π, there have been many twists and turns, many inconsistencies that reflect the condition of the human race as a whole. Through each major period of world history and in each regional area, the state of intellectual thought, the state of mathematics, and hence the state of π, has been dictated by the same socio-economic and geographic forces as every other aspect of civilization. The following is a brief history, organized by period and region, of the development of our understanding of the number π.

In ancient times, π was discovered independently by the first civilizations to begin agriculture. Their new sedentary life style first freed up time for mathematical pondering, and the need for permanent shelter necessitated the development of basic engineering skills, which in many instances required a knowledge of the relationship between the square and the circle (usually satisfied by finding a reasonable approximation of π). Although there are no surviving records of individual mathematicians from this period, historians today know the values used by some ancient cultures. Here is a sampling of some cultures and the values that they used: Babylonians - 3 1/8, Egyptians - (16/9)^2, Chinese - 3, Hebrews - 3 (implied in the Bible, I...

...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...

...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...

...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,...

...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,...

...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...

...π (sometimes written pi) is a mathematical constant whose value is the ratio of any circle's circumference to its diameter in the Euclidean plane; this is the same value as the ratio of a circle's area to the square of its radius. It is approximately equal to 3.14159265 in the usual decimal notation. Many formulae from mathematics, science, and engineering involve π, which makes it one of the most important mathematical constants.
π is an irrational number, which means that...

...
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...

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