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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: This and that
Topic ID: 936
#0, Variation of proof #43 - Pythagorean Theorem
Posted by John Molokach on Aug-11-10 at 11:52 PM
OK, here is yet another one I have done. I have not seen anything like this exactly on your page, but I feel it is a variation somewhat of proof #43, which is my favorite of the proofs that are on the page...

Here it is:

https://docs.google.com/fileview?id=0BygZeXnaKTslYzk5NmZiZmUtYmYyMS00OWU1LTg1NDgtOWNiZGY0ZWU5NThh&hl=en&authkey=CKjKwpQH


#1, RE: Variation of proof #43 - Pythagorean Theorem
Posted by alexb on Aug-15-10 at 03:29 AM
In response to message #0
I am on vacation until the end of the month. I shall add your remark to proof 43 when back home.

#2, RE: Variation of proof #43 - Pythagorean Theorem
Posted by John Molokach on Aug-16-10 at 10:36 AM
In response to message #1
Thanks, I appreciate the recognition. Hope you enjoy your vacation. I am going to add one last variant I want you to look at in a new thread.

#3, RE: Variation of proof #43 - Pythagorean Theorem
Posted by jmolokach on Aug-22-10 at 00:55 AM
In response to message #2
The word "quadrilateral" is spelled "quadrlatral" in the addition you made to proof 43.

#4, RE: Variation of proof #43 - Pythagorean Theorem
Posted by alexb on Aug-23-10 at 00:55 AM
In response to message #3
Thank you.

#5, RE: Variation of proof #43 - Pythagorean Theorem
Posted by jmolokach on Dec-23-10 at 11:38 AM
In response to message #4
Regarding your final comment on proof #43, I was not sure if you had seen this page:

http://demonstrations.wolfram.com/MamikonsProofOfThePythagoreanTheorem/

It has a nice animation and the final statement about the PT is an image on this page as well:

http://demonstrations.wolfram.com/MamikonsProofOfThePythagoreanTheorem/HTMLImages/index.en/popup_9.jpg


#6, RE: Variation of proof #43 - Pythagorean Theorem
Posted by alexb on Dec-23-10 at 12:02 PM
In response to message #5
I velieve I address this here

http://www.cut-the-knot.org/Curriculum/Geometry/PythFromRing.shtml


#7, RE: Variation of proof #43 - Pythagorean Theorem
Posted by jmolokach on Dec-23-10 at 06:05 PM
In response to message #6
Sorry I suppose I should have searched your site for this. Very interesting stuff!