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**Bosworth.Joshua****Member**- Registered: 2012-11-08
- Posts: 1

Everyone knows A²+B²=C², but this is often taught without any explanation as to why.

I'm not an established user yet (no link posting) so

[Thanks to the admin for posting the animation!]

*Last edited by Bosworth.Joshua (2012-11-08 13:55:42)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,200

I have posted the animation here.

That is the best I can do to just keep the math and leave out the strong comments.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Calligar****Member**- Registered: 2011-09-24
- Posts: 234

Very interesting...

Life isnt a simple Math: there are always other variables. -[unknown]

But Nature flies from the infinite, for the infinite is unending or imperfect, and Nature ever seeks an end. -Aristotle

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**mathgogocart****Member**- Registered: 2012-04-29
- Posts: 1,426

Intresting stuff

Hey.

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,423

hi Bosworth.Joshua

Neat animation, thanks!

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

**"The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus"**

** Thomas Ioannes Stiltes.** ...

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**Fistfiz****Member**- Registered: 2012-07-20
- Posts: 33

Hi there! These are very simple and smart proofs. I suggest you also to give a look to:

http://farside.ph.utexas.edu/euclid/Elements.pdf

Book1, Prop.48, Prop.49

the second one (if i remember good) is the Inverse theorem (i.e. if a triangle is such that c²=a²+b², then it's rectangle).

30+2=28 (Mom's identity)

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,423

hi Fistfiz

Thanks for that link. That brings back memories. I had to learn that proof many, many years ago.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**Fistfiz****Member**- Registered: 2012-07-20
- Posts: 33

You're welcome.

30+2=28 (Mom's identity)

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