Little explorations with HP calculators (no Prime)

[pier4r]

(03-27-2017 07:07 PM)Han Wrote:  Are you familiar with the geometric proofs of Phythagorus' Theorem? What I wrote above is just a variation of one of the geometric proofs using areas of regular polygons (triangles, rectangles, squares).

A few geometric proofs: http://www.cut-the-knot.org/pythagoras/

Maybe my choice of words was not the best. I wanted to convey the fact that if I try to model two different events (or objects in this case) and I get the same formula, for me it is not immediate to say "oh, ok, then they are the same object", I have to, how can I say, "see it". So in the case of the problem, I saw it when I realized that the 1^2 is not only equal to the area because also the area is 1^2, it is exactly the area because it models the area of the square itself. (I was visually building 1^2 outside the square, like a duplicate)

Anyway the link you shared is great. I looked briefly and I can say:
- long ago I saw the proof #1
- in school I saw the proof #9
- oh look, the proof #34 would have helped, as someone mentioned
- how many!

Great!