Zhao Shuang's Xuan Tu: A Classic Geometric Proof of the Pythagorean Theorem

2019-05-23 07:51
This applet demonstrates 'Xuan Tu' (the Chord Diagram), created by the ancient Chinese mathematician Zhao Shuang, to visually prove the Pythagorean theorem. By constructing four congruent right-angled triangles and a central small square, they are assembled into a larger square. Using area relationships, the area of the large square equals the sum of the areas of the four triangles and the central