Re: can Pythagoras's theorem be proved without the idea of the area of a rectangle being a*b

From: "david petry" <david_lawrence_petry@xxxxxxxxx>
Date: 10 Oct 2006 17:14:33 -0700

Shmuel (Seymour J.) Metz wrote:

In <1159919640.590402.261660@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>, on
10/03/2006
at 04:54 PM, "david petry" <david_lawrence_petry@xxxxxxxxx> said:

Anyway, thinking about that question many years ago, I stumbled upon
a proof which to me is the most intuitive proof, but it uses
calculus! Draw a right triangle a-b-c with hypotenuse 'c', and then
add a small increment to 'b', keeping 'a' fixed, and ask how much 'c'
is increased.

How do you answer thjat question without invoking Pythagorus's
Theorem?

Use high school geometry, similar triangles, etc. Draw a picture.

.

Follow-Ups:
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References:
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Re: can Pythagorass theorem be proved without the idea of the area of a rectangle being a*b
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Re: can Pythagorass theorem be proved without the idea of the area of a rectangle being a*b
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