What Is The Most Elegant Proof Of Pythagoras?

[ToraToraTora]

I love the Euclidian one of course but I'd love to hear about others, possibly Algebraic.....?

[jno]

Buenchico, did you lift it from the Readers' Digest, where I first saw it in the 1960s?

Of possibly from the Sunday Sioux a century earlier?

[Raving-Mod]

If you're not capable of giving serious answers to this type of question please dont bother wasting time by posting flippant responses.

This is in Science, not CB.

[ToraToraTora]

thanks Raving mod! bang on!

[jno]

Raving-Mod, I've said this on another thread, but it is very common for non-serious posts to appear after serious ones have been given and it's not customarily found objectionable.

[Hymie]

I like the proof by re-arrangement shown in this video (attributed to Pythagoras)

 

[Raving-Mod]

JNO, 7 out of the first 8 posts were deleted as being irrelevant to the question.

I don't know if you saw them but if you did, I would think you'd agree they were inappropriate.

This question asked for alternative proofs so in this instance  there isn't a single answer and even if there were and it had been given, a Mod could rightly decide that subsequent flippant posts were inappropriate.

[ClareTG0ld]

I enjoy proof by intimidation: 

"a squared plus b squared is c squared. Oh you don't get that immediately you puny little man?! Well listen here I was at Cambridge for five years and if there's one thing I know it's maths and I have a PhD and do you know what that means?! No of course you don't, and what's more you - *gets led away still screaming*

[10ClarionSt]

My friend was a maths lecturer at Montreal University. He used to publish his own theories about Maths but the one I remember most was his paper which attempts to demonstrate the difference between +0 and -0

I don't if it did, but he said it did. Hey ho!

 

[ToraToraTora]

CTG I'd be interested in your answer to this:

https://www.theanswerbank.co.uk/Science/Question1864208.html

 

[Peter Pedant]

My maff master commented about the square in a square - that is a really good proof 1966

[ClareTG0ld]

TTT: I'm sure you would be, but I haven't had a chance to get round to it yet. Maybe some time this weekend, if I have anything interesting to say.