>Thank you very much for the Pythagorean proofs, which are
>very useful to me. Thank you for letting me know.
>I just noticed that my brother, Don Wagner, is cited in #28.
> However the link to his work is incorrectly located under
>the name Elisha Loomis.
No, if you read just the next paragraph, Douglas Rogers, questioned the association of Liu Hui's name with this particular proof. I believe that in the ensuing correspondence Don Wagner admitted that his interpretation of Liu Hui's writing (that came to us without a diagram) is rather tenuous. As the proof has appeared in Loomis with some comments, this is where I made a link to. A link to Don Wagner's follows at the bottom of the page.
>I also would like to report that my remarkable 9-year old
>friend Toby in San Leandro California recently produced
>proof #10, on his own:
It's quite recognizable on the drawing, yes.
>
>I was teaching him the necessary algebra manipulations so
>that he could develop proof #3 on his own. However he went
>off on his own and invented a proof that I had never seen
>before. I had trouble believing it, not to mention
>understanding his diagram
>(https:// home.comcast.net/~papasandy/toby-pythag-diagram.jpg
The big thing distracts from the smaller diagram which you probably had in mind.
>), which was so clear to him but hard for me to follow. He
>did finally explain himself well enough so that I knew what
>he was trying to say, so I went home and proved to myself
>that he was absolutely right. It's a rare person of any age
>who develops his/her own proof of this theorem, and I'm
>lucky to be working with him.
And what did he say?
>I am interested in talking with others who are working with
>young gifted students.
Regretfully, this may not be the right forum for the purpose, but I shall be grateful if anybody points you in the right direction.
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), which was so clear to him but hard for me to follow. He did finally explain himself well enough so that I knew what he was trying to say, so I went home and proved to myself that he was absolutely right. It's a rare person of any age who develops his/her own proof of this theorem, and I'm lucky to be working with him.
