The Zhoubi Suanjing, also known by many other names, is an ancient Chinese astronomical and mathematical work. The Zhoubi is most famous for its presentation of Chinese cosmology and a form of the Pythagorean theorem. It claims to present 246 problems worked out by the Duke of Zhou as well as members of his court, placing its composition during the 11th century BC. However, the present form of the book does not seem to be earlier than the Eastern Han (25–220 AD), with some additions and commentaries continuing to be added for several more centuries.
The Gougu Theorem diagram added to the Zhoubi by Zhao Shuang
A umbrella-covered chariot from the terracotta army of the tomb of Qin Shi Huang (2006)
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
The Plimpton 322 tablet records Pythagorean triples from Babylonian times.
Geometric proof of the Pythagorean theorem from the Zhoubi Suanjing