Wild About Math! Making Math fun and accessible

2Jul/104

Super elegant proof without words

David Wood commented on my beautiful proof without words post:

Here is my favourite proof without words:
http://www.ms.unimelb.edu.au/~woodd/photo/photo-19.jpg
This first appeared in a Chinese textbook about 3000 years ago!
And of course, the picture proves ….

It's a remarkable proof. I have seen similar ones but not this one. It's remarkably elegant.

Here's the image from David Wood's site. Can you see what it proves?

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  1. a very pithy (or should I say Pythy) proof indeed!

  2. This proves the algebraic equation (x+y)^2 = x^2 + y^2 + 2xy

  3. Love this proof without words!

  4. One proof of the Pythagorean theorem that needs to be better known is due to Floor van Lamoen.

    Socrates is known to have proved the theorem for the isosceles triangle. Floor shows how the general case of a scalene right triangle follows from here. This is really beautiful.

    http://www.cut-the-knot.org/pythagoras/#64


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