Uploaded August 2026 | Updated September 2026, 2 weeks ago
How did ancients discover the famous formula a² + b² = c² ?
This video is a re-post based on feedback. I removed all AI (AI thumbnail and 3 AI images which were 20 sec of screen time out of the 18 min 36 secs video)
youtu.be/4VpphQsRzS4
0:00 Intro
1:50 China
5:00 India
7:35 Garfield
8:45 Pythagoras
9:24 Euclid
15:18 Einstein
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youtube.com/post/UgkxGSwX5dtLg6zWkm-rNohQdcgDduhp5Gi2
Babylon, Egypt
en.wikipedia.org/wiki/File:Plimpton_322.jpg
en.wikipedia.org/wiki/File:Papyrus_Berlin_6619.jpg
commons.wikimedia.org/wiki/File:All_Gizah_Pyramids.jpg
commons.wikimedia.org/wiki/File:Corda-a-12-nodi.svg
Ricardo Liberato, CC BY-SA 2.0, via Wikimedia Commons
China (Gougu)
en.wikipedia.org/wiki/Xuan_tu
en.wikipedia.org/wiki/Zhoubi_Suanjing
en.wikipedia.org/wiki/File:Duke_of_Zhou.png
rediff.com/news/special/did-india-discover-pythogoras-theorem-a-top-mathematician-answers/20150109.htm
India (Baudhayan)
en.wikipedia.org/wiki/Baudhayana#/media/File:Bas-relief_of_Baudhayana_(cropped).jpg
archive.org/details/baudhyanasrautas01bauduoft/page/n5/mode/2up
en.wikipedia.org/wiki/Yajna
Arayilpdas at Malayalam Wikipedia CC BY-SA 3.0 via Wikimedia Commons
https://w.wiki/S$M5
https://x.com/ncert/status/2006602652638130291
ncert.nic.in/textbook/pdf/hegp202.pdf
bhaskarkamble.substack.com/p/the-sulbasutras-and-the-pythagoras
Greece (Pythagoras)
commons.wikimedia.org/wiki/File:Pythagoras_knapp.jpg
archive.org/details/cu31924008704219/page/n165/mode/2up
Greece (Euclid)
https://mathcs.holycross.edu/~little/Mont201516/EuclidPythagoras1.html
commons.wikimedia.org/wiki/File:Tysoe_Windmill_-_geograph.org.uk_-_7335000.jpg
Tysoe Windmill by Derek Harper, CC BY-SA 2.0, via Wikimedia Common
cut-the-knot.org/pythagoras/euclid.shtml
https://webspace.ship.edu/mrcohe/inside-out/vu1/d_joyce/elements/bookVI/propVI31.html
http://aleph0.clarku.edu/~djoyce/elements/bookVI/propVI31.html
en.wikipedia.org/wiki/File:Visual_proof_of_the_Pythagorean_theorem_by_area-preserving_shearing.gif
desmos.com/calculator/zlf3dweki4
youtube.com/watch?v=eWNBw5GpqeY&t=611s
Einstein
archive.org/details/fractalschaospow0000unse/page/2/mode/2up
cut-the-knot.org/pythagoras/PythagorasBySimilarity.shtml
terrytao.wordpress.com/2007/09/14/pythagoras-theorem
commons.wikimedia.org/wiki/File:Albert_Einstein_1921_by_F_Schmutzer.jpg
commons.wikimedia.org/wiki/File:Albert_Einstein_as_a_child.jpg
newyorker.com/tech/annals-of-technology/einsteins-first-proof-pythagorean-theorem
Impossible proof
tandfonline.com/doi/epdf/10.1080/00029890.2024.2370240?needAccess=true
maa.org/news/groundbreaking-pythagorean-research-featured-in-the-american-mathematical-monthly
youtube.com/watch?v=juFdo2bijic
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How did ancients discover the famous formula a² + b² = c² ?
This video is a re-post based on feedback. I removed all AI (AI thumbnail and 3 AI images which were 20 sec of screen time out of the 18 min 36 secs video)
youtu.be/4VpphQsRzS4
0:00 Intro
1:50 China
5:00 India
7:35 Garfield
8:45 Pythagoras
9:24 Euclid
15:18 Einstein
Support monthly
YouTube members
youtube.com/channel/UCHnj59g7jezwTy5GeL8EA_g/join
Patreon
patreon.com/mindyourdecisions
One time donation
Ko-Fi
ko-fi.com/mindyourdecisions
PayPal
paypal.com/donate/?hosted_button_id=REZRY3QRQPYQA
Community
youtube.com/post/UgkxGSwX5dtLg6zWkm-rNohQdcgDduhp5Gi2
Babylon, Egypt
en.wikipedia.org/wiki/File:Plimpton_322.jpg
en.wikipedia.org/wiki/File:Papyrus_Berlin_6619.jpg
commons.wikimedia.org/wiki/File:All_Gizah_Pyramids.jpg
commons.wikimedia.org/wiki/File:Corda-a-12-nodi.svg
Ricardo Liberato, CC BY-SA 2.0, via Wikimedia Commons
China (Gougu)
en.wikipedia.org/wiki/Xuan_tu
en.wikipedia.org/wiki/Zhoubi_Suanjing
en.wikipedia.org/wiki/File:Duke_of_Zhou.png
rediff.com/news/special/did-india-discover-pythogoras-theorem-a-top-mathematician-answers/20150109.htm
India (Baudhayan)
en.wikipedia.org/wiki/Baudhayana#/media/File:Bas-relief_of_Baudhayana_(cropped).jpg
archive.org/details/baudhyanasrautas01bauduoft/page/n5/mode/2up
en.wikipedia.org/wiki/Yajna
Arayilpdas at Malayalam Wikipedia CC BY-SA 3.0 via Wikimedia Commons
https://w.wiki/S$M5
https://x.com/ncert/status/2006602652638130291
ncert.nic.in/textbook/pdf/hegp202.pdf
bhaskarkamble.substack.com/p/the-sulbasutras-and-the-pythagoras
Greece (Pythagoras)
commons.wikimedia.org/wiki/File:Pythagoras_knapp.jpg
archive.org/details/cu31924008704219/page/n165/mode/2up
Greece (Euclid)
https://mathcs.holycross.edu/~little/Mont201516/EuclidPythagoras1.html
commons.wikimedia.org/wiki/File:Tysoe_Windmill_-_geograph.org.uk_-_7335000.jpg
Tysoe Windmill by Derek Harper, CC BY-SA 2.0, via Wikimedia Common
cut-the-knot.org/pythagoras/euclid.shtml
https://webspace.ship.edu/mrcohe/inside-out/vu1/d_joyce/elements/bookVI/propVI31.html
http://aleph0.clarku.edu/~djoyce/elements/bookVI/propVI31.html
en.wikipedia.org/wiki/File:Visual_proof_of_the_Pythagorean_theorem_by_area-preserving_shearing.gif
desmos.com/calculator/zlf3dweki4
youtube.com/watch?v=eWNBw5GpqeY&t=611s
Einstein
archive.org/details/fractalschaospow0000unse/page/2/mode/2up
cut-the-knot.org/pythagoras/PythagorasBySimilarity.shtml
terrytao.wordpress.com/2007/09/14/pythagoras-theorem
commons.wikimedia.org/wiki/File:Albert_Einstein_1921_by_F_Schmutzer.jpg
commons.wikimedia.org/wiki/File:Albert_Einstein_as_a_child.jpg
newyorker.com/tech/annals-of-technology/einsteins-first-proof-pythagorean-theorem
Impossible proof
tandfonline.com/doi/epdf/10.1080/00029890.2024.2370240?needAccess=true
maa.org/news/groundbreaking-pythagorean-research-featured-in-the-american-mathematical-monthly
youtube.com/watch?v=juFdo2bijic
Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1
If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.
Book ratings as of January 2025.
My Books (worldwide links)
mindyourdecisions.com/blog/my-books/#worldwide
My Books (US links)
Mind Your Decisions: Five Book Compilation
amzn.to/2pbJ4wR
A collection of 5 books:
"The Joy of Game Theory" rated 4.2/5 stars on 564 reviews
amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.2/5 stars on 55 reviews
amzn.to/1o3FaAg
"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 81 reviews
amzn.to/1LOCI4U
"The Best Mental Math Tricks" rated 4.3/5 stars on 148 reviews
amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" rated 4.5/5 stars on 57 reviews
amzn.to/XRm7M4
Mind Your Puzzles: Collection Of Volumes 1 To 3
amzn.to/2mMdrJr
A collection of 3 books:
"Math Puzzles Volume 1" rated 4.4/5 stars on 138 reviews
amzn.to/1GhUUSH
"Math Puzzles Volume 2" rated 4.2/5 stars on 45 reviews
amzn.to/1NKbyCs
"Math Puzzles Volume 3" rated 4.3/5 stars on 38 reviews
amzn.to/1NKbGlp
2017 Shorty Awards Nominee STEM category
My Blog
mindyourdecisions.com/blog
twitter.com/preshtalwalkar
instagram.com/preshtalwalkar
Merch
teespring.com/stores/mind-your-decisions
Patreon
patreon.com/mindyourdecisions
Press
mindyourdecisions.com/blog/press
