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#1 2012-11-08 13:20:57

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

Teach Pythagorean Theorem in 10 seconds

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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#2 2012-11-08 13:41:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,309

Re: Teach Pythagorean Theorem in 10 seconds

I have posted the animation here.

b4gZm.gif?1

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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#3 2012-11-08 13:57:07

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

Re: Teach Pythagorean Theorem in 10 seconds

Very interesting...


Life isn’t 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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#4 2012-11-22 09:23:52

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

Re: Teach Pythagorean Theorem in 10 seconds

Intresting stuff


Hey.

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#5 2012-11-22 20:46:48

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,380

Re: Teach Pythagorean Theorem in 10 seconds

hi Bosworth.Joshua

Neat animation, thanks!  smile

Bob


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

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#6 2013-01-06 13:48:27

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

Re: Teach Pythagorean Theorem in 10 seconds

piphagor.jpg


"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. ...                                                 I made it!

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#7 2013-01-08 03:14:44

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

Re: Teach Pythagorean Theorem in 10 seconds

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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#8 2013-01-08 06:59:29

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,380

Re: Teach Pythagorean Theorem in 10 seconds

hi Fistfiz

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

Bob


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

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#9 2013-01-08 08:19:43

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

Re: Teach Pythagorean Theorem in 10 seconds

You're welcome. smile


30+2=28 (Mom's identity)

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