Re: can Pythagoras's theorem be proved without the idea of the area of a rectangle being a*b
- From: "[Mr.] Lynn Kurtz" <kurtzDELETE-THIS@xxxxxxx>
- Date: Tue, 03 Oct 2006 01:40:51 GMT
On 2 Oct 2006 18:31:14 -0700, "perltcl@xxxxxxxxx" <perltcl@xxxxxxxxx>
wrote:
hi
can Pythagoras's theorem be proved without the idea of the area of a
rectangle being a*b?
(or without a definition of "some area").
it seems impossible, but I could be wrong.
Yes, it can. See proof #6 in
http://www.cut-the-knot.org/pythagoras/index.shtml
which only involves ratios of sides of similar triangles.
--Lynn
.
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