Monday, March 14, 2022

March 14 is Pi Day (3.14)


This Day in History: Today is Pi Day (3.14). Also known as "Archimedes' constant" Pi also has an entire language made from the number it. In “Pi-lish” the first word has three letters, the second word has one letter, the third has four letters, and so on. There is an entire book, called "Not a Wake" written in this language. 

Givenchy sells a men’s cologne with the name ‘Pi,’ Kate Bush has a song called Pi where she actually recites Pi and there is a late 90's movie called Pi that was weird and at the same time rather interesting. Oh, and Albert Einstein was born on Pi day (1879) and Stephen Hawking died on Pi day (2018).


Many have tried to memorize the many digits of Pi (3.14159…). The record for the most digits of Pi memorized belongs to Chao Lu, of China, who recited Pi from memory to 67,890 places in 2005, according to The Guinness World Records. Computers can get even more accurate measurements. As of December 2013, computers calculated Pi to a record 12 trillion digits.


The History of Pi, by Marie Gugle 1920
It was not until the middle of the eighteenth century that the Greek letter (PI) came into use as a symbol for the ratio of the circumference to the diameter of a circle. But from earliest times mathematicians knew that there was such a constant ratio. Different values were given it in different periods of history.

1. One of the earliest books we have is the Ahmes (Ah'mez) Papyrus, written about 1700 B.c. In this manuscript a value is given to PI equal to 256/81 or 3.1604.

2. The Jews and Babylonians considered PI equal to 3. This fact is shown in the measures given for sacred vessels in I Kings vii, 23 and II Chronicles iv, 2.

3. Archimedes of Syracuse, who lived between 287 and 212 B.c, was a great mechanical genius as well as mathematician. You will find it interesting to read the stories of his detection of the fraudulent goldsmith; his use of burning glasses to destroy the Roman ships; his apparatus for launching ships; and the Archimedean screw used to drain the flooded fields of Egypt.

Archimedes proved that the value of PI is between 3 1/7 and 3 10/71.

We can understand these values better by putting them in decimal form, but Archimedes did not have this advantage, because no one knew anything about decimal fractions until nearly 1600 A.d.

4. Ptolemy, a great astronomer of Alexandria about 150 A.d., used 3 17/120 as the value of PI. As a decimal 3 17/120 = 3.14166.
5. Between 400 and 600 A.d. the Hindus used PI = 3 or 3 1/8 and PI = which is 3.1622.

The Chinese had used PI = about 200 A.d.


6. The exact value of PI cannot be expressed in ordinary figures, although many persons have contended long and earnestly that it could be done. If this were possible, a square could be constructed exactly equal to a circle. These people are known as "circle-squarers."

About 1600 the value of PI was calculated to 35 decimal places. Since then it has been calculated to 707 decimal places, but it will never come out "even." In other words no square can be constructed that is exactly equal to a circle.

The value correct to the first 35 places is as follows:

PI = 3.14159265358979323846246338327905288 When very exact measures are needed, we use 7r = 3.14159 or 3.1416.

For less exact measures, we use PI = 3.14 or PI = 3 1/7.

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