Many of you don’t know the facts about Pi and in this article we will try to review it for you. The mathematical symbol for Pi π is derived from a Greek letter, derived from the first letter of the Greek words περιφέρεια, which means fringe, and περίμετρος, which means perimeter. The earliest known use of the symbol was by the Welsh mathematician William Outright in 1647, but only popularized in 1748 by Leonhard Euler in his Introduction to Infinite Analysis.
Pi can be used mathematically to calculate the volume of a sphere or the circumference or area of a circle. So why is there all that fascination and curiosity about Pi? Here are some facts about Pi.
What is Pi?
If today, the most powerful computers are capable of determining up to 13 trillion decimal places of Pi, you can imagine that this was not always the case.
Since time immemorial, scholars and mathematicians have been fascinated by Pi and have tried long and hard to find a value that is as representative as possible.
1680 BC: the oldest value of Pi that has been found is the work of the Babylonians. They tried to compare the perimeter of the circle with that of the hexagon. The approximate value of Pi at that time is 3 + 1/8 = 3.125
1650 BC: The Rhind Mathematical Papyrus discovered in 1855 teaches us that the Egyptians also studied Pi and tried to find its closest estimate. The Egyptian scribe Ahmès observed that the area of a square of 8 units on one side could be reformed to almost produce a circle with a diameter of 9. Mathematically, this means (16/9) 2 or about 3.16.
700 BC: The Indian text of the Shatapatha Brahmana also gives an estimate of Pi equal to 25/8 (3,125). Indian mathematicians from the Vedic period again estimated Pi to be 3.1416 using astronomical calculations.
Archimedes (-287 / -212) is widely considered to be the first to compute an accurate estimate of Pi in his essay on ‘Measuring Circles’. By using a very clever method, Archimedes figured out how to estimate the perimeter for a polygon with twice as many sides. Archimedes arrived at the following approximation: 220/71 <Pi <22/7 by using a polygon with 96 sides. The Archimedes method was used for 2000 years after his death. Not bad, right?
The Value of Pi: The Process Towards a Decimal Number
After proving his method, many mathematicians will use the Archimedes method to determine the more digits Pi.
5 decimal places: Liu Hui used the method to give an estimate of Pi to the closest to one hundred thousand (3rd century).
6 decimal places: the approximation is determined to the nearest millionth (3.141592) by mathematician Tsu Chung Chih (5th century).
14 decimal places: still working from the discoveries of Archimedes, the Persian astronomer Jemshid al Kashi presents us with the first 14 decimal places of Pi (15th century).
Western countries did not start the race to estimate the value of Pi until several centuries later, although in the early 17th century Leonardo da Pisa Fibonacci proposed an interesting estimate of the value of Pi.
From 20 to 32 decimals: Based on Archimedes’ theory, the German mathematician Ludolph Van Ceulen determined the first 20 decimals of Pi in 1596 using a polygon with 480 billion (60 * 233) sides, then the first 32 in 1615. He was pleased to know that the number Pi called the “Van Ceulen figure”. Little confession!
The real turning point in calculating Pi was the discovery of differential analysis and calculus. Many mathematicians such as John Wallis, Leibniz, James Stirling and Newton understood that Pi can not only be understood geometrically, but can be serialized.
From 71 to 100 decimal places: thus, Abraham Sharp got 71 correct decimal places of Pi in 1699, the 100 decimal places were later crossed in 1706 by John Machin with the help of the arctan function. Of an interest in pure mathematics, Pi has been a challenge to all mathematicians, a clear sign of pride.
Several thousand billion decimal places: nowadays, the most sophisticated computers are capable of giving several thousand billion digits after the decimal point, humans no longer feel overwhelmed …
Pi is an irrational number, which means that it cannot be written as a fraction of two whole numbers (like a rational number). In fact, the decimal places are not periodic or finite. In other words, the decimal of Pi is unpredictable and no model can predict it. The first mathematicians discovered the abstract principles of infinity and infinity, they even saw Pi as an insult to God’s omniscience!
Pi is effectively the boundary of a particular continuous fraction, the radicalism that nests. Research carried out on transcendental and irrational numbers, mostly related to Pi, provides answers to the square of the circle. It is actually impossible to construct a square with an area equal to the given circle. In statistics and probability, the number Pi also appears, as in Buffon’s needle problem.
Facts About Pi
More interestingly, Pi extends everywhere beyond the bounds of simple mathematics. Pi is everywhere the circle is, for example in light bulbs, sun, eyes and DNA! Pi is even present in the equation of Heisenberg’s famous uncertainty principle, which attempts to circumvent our understanding of the universe. Pi-ramid from Cheops
What is the relationship between the Pi and the Egyptian pyramids? Pi also appears in mythical constructs, which have no clear connection to circles. This is particularly the case with the famous pyramid of Cheops. A number of works show that Pi is the ratio between the base perimeter and twice the height of the pyramid. This mathematical ratio for Cheops is almost the same as for Pi (I’ll let you calculate the perimeter!). Was this intentional by the architect or just a coincidence?
Finally, for those who categorically separate mathematics from literature, Pi reconciles the two subjects. Poetry lets us learn the first few decimal places of Pi (127 in full poetry), so why not wow your friends! The idea is that the number of letters in each word corresponds to the decimal point Pi. This short stanza has thirteen digits of π: Look, I have a very helpful poem 3 1 4 1 5 9 My weak brains, 2 6 5 Whose assignments sometimes refuse. 3 5 9 9 Why not study the whole poem!
Those are the facts about Pi that can increase your knowledge. May be useful!