Subject: Proof of Pythagorean Theorem #??????
Date: Sun, 3 Nov 1996 01:19:24 -0800
From: "Émerick Arteche Gallego"

HI,

You might like to take a look at this proof of the Pythagorean Theorem:

Let u and v be vectors in Rn orthogonal to each other. By the properties of norm, and the fact that (u, v) = 0 you get:

  ||u+v||2 = (u+v, u+v)
= (u, u) + 2(u, v) + (v, v)
= ||u||2 + ||v||2

PS

(a, b) is the scalar (dot) product
||u+v||2 = hypotenuse squared

Is this proof worthy of getting recognition on your homepage? It better! It covers Rn!

See ya,
Emerick

___________________________________________
Dr. Emerick Gallego Arteche Ph.D
Cerro Coso College
Dept. of Mathematics
3000 S. College Heights Blvd
Ridgecrest, CA 93555

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