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The History of Pi Timeline
Transcript of The History of Pi Timeline
The Great Pyramid at Giza was built with a perimeter of 1760 cubits and a height of 280 cubits, a ratio of 1760: 280 or approximately 2 Pi, which implies that Egyptian engineers had some idea of the concept of Pi.
Approx 1900 BC
Babylonian Astronomers wrote the first approximation of the value of Pi. This value is 25/8 or 3.125.
Archimedes estimates the upper and lower bounds of Pi by calculating the perimeters of hexagons composing a 96 sided Polygon. He proved that 3,1408 < Pi < 3.1429.
Chinese mathamatician Liu Hui creates polygon-based iterative algorithm and estimates that Pi is equal to 3.1416.
Persian astronomer Jamshīd al-Kāshī produces 16 digits using a polygon with 3×2^28 sides which stands as a record for 180 years
First written description of an infinite series used to compute Pi written in Sanskrit by Indian astronomer Nilakantha Somayaji.
French mathematician François Viète discover the first infinite sequence in Europe. Unlike most infinite series this was a infinite product rather than infinite sum.
Abraham Sharp used the Gregory–Leibniz series to compute Pi to 71 digits, breaking the previous record of 39 digits
Leonhard Euler solves the Basel problem, establishing connection between Pi and prime numbers.
Johann Heinrich Lambert proves that Pi is irrational.
William Jones, in his work Synopsis Palmariorum Matheseos; uses the Greek symbol currently used for Pi
for the first time.
German mathematician Ferdinand von Lindemann proves that Pi is transcendental.
Using a inverse tangent infinite series, a team of mathematicians lead by George Reitwiesner calculate 2,037 digits of Pi with a calculation that took 70 hours of computer time on the ENIAC computer
American physicist Eugene Salamin and Australian scientist Richard Brent publish the iterative algorithms, which uses prior calculations to calculate the following step.
Spigot algorithms are discovered. They work like water dripping from a faucet, calculating single digits of Pi instead of several strings at a time.