“The Chinese Proof” of the Pythagorean theorem (the little orange square is , the medium orange square is , and the large orange square is ).

Harald Hanche-Olsen:

The righthand picture above appears in the Chou pei suan ching 周髀算經 (ca. 1100 B.C.), for the special (3,4,5) pythagorean triple….

…the earliest known proof of Pythagoras is given by Zhoubi suanjing (The Arithmetical Classic of the Gnomon and the Circular Paths of Heaven) (c. 100 B.C.E.-c. 100 C.E.)

[T]his proof, with the exclamation `Behold!’, is due to the Indian mathematician Bhaskara II (approx. 1114-1185) …

Jöran Friberg … presented convincing evidence that the … Babylonians were aware of the Pythagoras theorem around 1800 B.C.E.

https://i2.wp.com/library.thinkquest.org/05aug/01951/images/content/china_proof.jpg

https://isomorphismes.files.wordpress.com/2012/10/7e62a-chou_pei.jpg

Online Zhoubi Suanjing:

卷上:

句股圓方圖:右圖:左圖:

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