Origami and Geometric Constructions

The proof of Abe's trisection

By itself, proving that Abe's trisection method works is quite challenging. But if you add a few lines, as shown in the illustration to the right, then it becomes quite easy to show that triangle AOB = triangle BOC = triangle COD, which proves that angles AOB, BOC, and COD are all equal, and thus must be A/3.
Back to Origami Geometric Constructions