Pi
Pi (fÎ) is one of the most essential yet vexing numbers in all of mathematics. The quest for the full value of this number encompasses almost all of manfs history, from the advent of civilization to the present day technology-based world. Throughout the centuries, many brilliant men have searched for ways to find the extent of pi. Whether they knew it or not, these men were participating in one of the most consequential and important investigations of all time. The significance of pi, not yet fully known even to this day, is one which has been shown in almost all fields of science and mathematics. Pi is commonly defined as the ratio of a circlefs circumference to its diameter (fÎ=c/d.) It is an irrational number, meaning it is not equal to any fraction. It is also a transcendental number. Being transcendental means that pi is not the root of any polynomial equation with rational, or fractional, coefficients (Beckmann). Todayfs commonly accepted value of pi up to 2,000 digits can be found in Diagram 1.2. Today, pi can be used in navigation, engineering, architecture, agriculture and many other fields. But, perhaps, the most important use for pi is in the field of mathematics where even today, pi is still helping mathe
It is amazing then that Ahmes found the ratio to be 3. Despite no remaining records of their value for pi, we can assume that their value was much more accurate than their counterparts in Europe mainly due to their previous discovery of zero. maticians to find the mysteries behind the circle and the arc and curve. This value, only 8-millionths of one percent from the now-accepted value was not surpassed by anyone until the fifteenth century CE. It was also at this time in 1652 that the symbol gfÎh was first implemented by William Oughtred to stand for the ratio of a circlefs circumference to its diameter (Blatner). These two men were the last to discover any digits of pi without the help of a calculator or counting machine. By the 19th century, William Shanks had found 707 digits of pi, despite one mistake in the 527th digit. In 1 Kings 7:23, we read about the altar in the temple of Solomon: gAlso he made a molten sea of ten cubits from brim to brim, round in compass, and five cubits of height thereof; and a line of thirty cubits did compass it round abouth (Pappas). Two men, Lambert from Switzerland and Legendre from France, also independently discovered pi to be irrational at this time. In China, up until the third century BCE the commonly accepted value for pi was 3. He realized that the area of the circle had to come between the areas of the two polygons. In the Late Greek period of the third century BCE, Archimedes used the method of exhaustion as well in an effort to find pi. With the invention of calculus by Sir Isaac Newton in the 1700s, a new race began. The first people to attempt to calculate pi using reasoning and mathematics not rudimentary equipment were the Greeks.
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