A Sexy Proof of the Pythagorean Theorem | Shorts

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A quick and sleek proof of the Pythagorean Theorem.

Special thanks to my Patreons and Channel Members: Dru Vitale, RYAN KUEMPER, AlkanKondo89, John Patterson, Johann, Speedy, Zach Ager, Joseph Wofford, Rainey Lyons, Holden Higgins, and Mark Araujo-Levinson.

My current equipment for making videos (affiliate links):

  1. Epic Math Time
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Комментарии
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Great, now proof the riemann hypothesis

OriginalSuschi
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This is my favourite proof of Pythag. theorem. The demonstrator has an excellent delivery. His voice and demeanour convey the power of maths.

Jack_Callcott_AU
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Can I just say how much I love the editing and feel of your videos. It's just epic... no pun intended 😀

mikem
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The proof is neat but I was totally distracted by the fact he is writing back-to-front. Once you notice this it really is hard to unsee it 😂

liamwickins
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I actully just encoutered an abstract version of the pythagoran theroem, it states that:
||a||^2+||b||^2=||a+b||^2 holds if a and b are orthorgonal
so it's just the same thing for general inner product spaces. Somehow, this made me happy :D

BedrockBlocker
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This is essentially the same as President James Garfield's proof! One of my favorites :)

benthayermath
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This ain't sexy this is the old pal

guydror
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Your proof was exceedingly sexy, I now find myself questioning my heterosexuality.

murilovsilva
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its a little sexier if you just see the big square as white space and then rearange the triangles to form an a^2 square and a b^2 square plus the 4 triangles, no calculations needed

bregottmannen
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Can this be generalized to the law of cosines?

Govgrav
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Wow, just assuming the shape formed by the 4 hypotenuses is a square.

benjamindeshotels
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Is that a tool song in the background? Eulogy perhaps?

tahmidt
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But then, Euclid's axioms don't explicitly mention facts about areas and its properties..also there is no existence of additive identity and additive inverse in Euclid's axioms(so no cancellation law)...what then are the axioms being used here?

rektwatermelon