| The Pythagorean is one of the greatest theorems we can express it simply that if the triangle is an right triangle, then square its two angled-sides and plus them, the summation equals to the square of the hypotenuse. Different nations step into the reacher about The Pythagorean at different times. In China, it dates back to Shang Dynasty, ShangGao put forward The Pythagorean exception which can be defined as'Hook three strands of the four-string five'and in the west, it originated from in Ancient Greece, but the first user is the Ancient Babylonians. The Pythagorean is not only the basis of some math theorems but also be widely used in life and production. In this paper, firstly we assure that Ancient China and Ancient Greece found out the theorem simultaneously, according to investigating its origin and history, the principle and Ancient Found Priority judging criteria. The article also involves the names and proof methods of The Pythagorean having been used before, the application both in ancient and modern times, the analysis of its extensions and influences. In the last, we try to discuss the application of The Pythagorean in contemporary teaching. |