Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#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)

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,562

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#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

Offline

#4 2012-11-22 09:23:52

mathgogocart
Member
Registered: 2012-04-29
Posts: 1,431

Re: Teach Pythagorean Theorem in 10 seconds

Intresting stuff


Hey.

Offline

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

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,528

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

Offline

#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!

Offline

#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)

Offline

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

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,528

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

Offline

#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)

Offline

Board footer

Powered by FluxBB