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How Archimedes Trapped Pi

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Dubious Insights

Archimedes was a brilliant Greek Mathematician living around 250 BC. He got a value for Pi whose accuracy would not be passed for another 400 years. The way he did it was to calculate the perimeter of a hexagon inside a circle, and one outside a circle. He then developed a formula to calculate the perimeter of a shape with twice as many sides, so 6 became 12 sides, became 24, 48, and finally 96 sides.

This video was made with Python & Manim

It was inspired by this amazing post by Better Explained
https://betterexplained.com/articles/...

Some of the heavier math on what Archimedes did can be found here
https://itech.fgcu.edu/faculty/clinds...

History of the computation of Pi
https://en.wikipedia.org/wiki/Chronol...

Images used in this video
Pi https://pixabay.com/illustrations/pi...

Archimedes By Domenico Fetti http://archimedes2.mpiwgberlin.mpg.d..., Public Domain, https://commons.wikimedia.org/w/index...

Ptolemy ptolemy image https://en.wikipedia.org/wiki/Ptolemy...

Parthenon
https://en.wikipedia.org/wiki/Ancient...

posted by jes59ah