Pythagoras, Pythagorean Theorem, 3D Models, 勾股定理, ピタゴラス定理

Pythagoras, Pythagorean Theorem, 3D Models

The Pythagorean Theorem can be illustrated (not proved) using 3D models. In fact, it is a direct implication of a^2 + b^2 = c^2 in a 3D space. Pick an h > 0. Then, ha^2 + hb^2 = hc^2. We could construct a square-end box of a constant height along each side of the right triangle. However, there is much more to it. We could build infinitely many 3D (or 2D) models. As long as the three 3D solids (or corresponding 2D shapes) are similar to each oth