tag:support.nodebox.net,2012-11-01:/discussions/show-your-work/177-euclids-proof-of-the-pythagorean-theoremNodeBox: Discussion 2016-12-28T11:43:46Ztag:support.nodebox.net,2012-11-01:Comment/416262632016-12-28T11:43:44Z2016-12-28T11:43:44ZEuclid's Proof of the Pythagorean Theorem<div><p>The design for this enchanting visual proof of the Pythagorean
Theorem is taken from "Beautiful Geometry" by Eli Maor and Eugen
Jost. They showed a still image of the proof for various possible
triangles. I turned this into a NodeBox animation - just for
fun.</p>
<p>Euclid showed that the blue and orange areas on top and bottom
are always equal. Since blue + orange = (blue + orange), blue edge
squared + orange edge squared = (blue + orange) hypotenuse
squared.</p>
<p>Code, screenshot and movie attached. It's pretty simple: just a
matter of rotating and resizing a few rectangles. I had to refresh
my memory of high school trigonometry to calculate the sizes.</p>
<p>Enjoy!</p>
<p>John</p></div>john