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theorem arose first in China in the 11th century BC, where it is alternatively known as the "Shang Gao theorem" (????), named after the Duke of Zhou's astronomer and mathematician, whose reasoning composed most of what was in the Zhoubi Suanjing.

Proofs using constructed squares

Rearrangement proofs

In one rearrangement proof, two squares are used whose sides have a measure of and which contain four

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