>>219
docomoさんや、オレは何口を割った事がありゃせん。
そう慌てず今日はゆっくりしたまえ
語呂合わせのことに関して、アラビア数字に関する此方の忌み詞との音とのことはまだ必要かね
Pythagorean Theorem
smalin
https://www.youtube.com/watch?v=pY__4Nl_ZKE
チャンネル登録者数 22.2万人
10,294 回視聴 2016/08/24
A visual proof of the Pythagorean Theorem.
I was lying awake, trying to remember a visual proof of the Pythagorean Theorem that I'd seen a while back, probably one based on this this diagram ...
http://www.musanim.com/img/pythagoras...
... but I couldn't remember what the diagram looked like or how the proof went. I turned on the light and got a pencil and paper and drew this ...
http://www.musanim.com/img/Malinowski...
... which is similar but has the hypotenuse as the outside edge of the square. I knew that the squares on the other sides would add up to the area of the square, but the diagram didn't have squares on the other sides, so I just added them ...
http://www.musanim.com/img/Malinowski...
It was obvious that the triangular regions of the added squares that extended beyond the square on the hypotenuse corresponded to the areas of the square on the hypotenuse that were not covered by the added squares ...
http://www.musanim.com/img/Malinowski...
... and that what I'd draw was a proof of the theorem. After some searching, I found that I'd reinvented the Pythagorean tiling proof ...
https://en.wikipedia.org/wiki/Pythago...
I've made three versions of the animation of this; in the first, there's just a single square ...
• Pythagorean Theorem
... in the second, the space is tessellated with the hypotenuse (and, therefore, the square on the hypotenuse) in a fixed position...
• Pythagorean Theorem, tessellation proof
... and in the third, the orientations of the squares on the legs are fixed and the hypotenuse rotates ...
• Pythagorean Theorem, tessellation proof (v...
