How did Archimedes ACTUALLY calculate pi? Pi day 2021
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#piday
So this fella,
#piday
So this fella, Archimedes, in 250BCE bounded the value of pi to incredible accuracy. That's only 2200 years ago or thereabouts. So how the heck did he do it? Well for pi day 2021, that's what we're going to be diving into in this video. Enjoy!
Here's my post on the angle bisector theorem: www.instagram.com/p/B-WzBspFJvD/
Here's a few of my sources I used for the video:
Euclid's elements website: mathcs.clarku.edu/~djoyce/java/elements/elements.h…
This webpage matched up with what I read in "The works of Archimedes" book. It goes through both the circumscribed and inscribed polygon proofs. itech.fgcu.edu/faculty/clindsey/mhf4404/archimedes…
This paper discusses the Archimedean algorithm. It is comes from this iterative method with a few minor differences that allow a sequence to be made to easily calculate the circumscribed and inscribed perimeters. I felt it was just outside the scope of this video. Check it out: www.maa.org/sites/default/files/pdf/upload_library…
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