Anyone who has something about the history and application of the Pythagorean theorem, thank you!

The history of the Pythagorean theorem is as follows:

The Pythagorean theorem was discovered by the ancient Greek mathematician Pythagoras in the sixth century BC. He discovered some mysterious mathematical forms, the most famous of which is the "Pythagorean theorem", he discovered some laws of geometric figures, and found that "the sum of the squares of the three sides of a regular triangle is equal to the square of the hypotenuse".

The Pythagorean theorem is a mathematical principle known as the "law of the universe" that can be used to prove that certain geometric shapes are equilateral or isosceles.

1. Similar concepts of ancient Babylon and India

Before the Pythagorean theorem was proposed, ancient Babylon and India already had a similar concept. They know that there is a specific relationship between the three sides of a triangle, but they don't express it with a specific formula. However, these early cultures played a role in the development of the Pythagorean theorem.

2. Pythagoras' contribution

In ancient Greece in the 6th century BC, the mathematician Pythagoras first proposed the Pythagorean theorem and systematically expressed it. He is said to have founded a school to study the natural sciences based on mathematics and made the Pythagorean theorem one of the core contents of the school.

3. Proof and application of the Pythagorean theorem

In the Pythagorean school of Jeance, attempts were made to prove the correctness of the Pythagorean theorem and to study its application. The record of the proof of the Pythagorean theorem given by the head or chain bureau was proposed by a member of the Pythagorean school, Hepjiras. He gave a proof based on similar triangles.

4. The propagation and development of the Pythagorean theorem

Over time, the Pythagorean theorem gradually spread widely and found application in the field of mathematics. In China, the Pythagorean theorem was recorded as early as the Western Han Dynasty and was called "Pythagorean three, four strings and five". In Europe, its spread originated in Greece and was further developed during the Renaissance.

As an important theorem in mathematics, the Pythagorean theorem has gone through the exploration of similar concepts in ancient Babylon and India, the systematic formulation of Pythagoras, and the later proof and application stage. Nowadays, the Pythagorean theorem has become a fundamental knowledge in mathematics education and plays an important role in scientific research and practical application.

1. China: In the 11th century B.C., Shang Gao, a mathematician of the Zhou Dynasty, proposed "Gou."

III. Shares. Fourth, string five". The "Zhou Ji Sutra" records a conversation between Shang Gao and Zhou Gong. Shang Gao said:

Therefore, the folding moment, the hook wide three, the stock repair four, the meridian five. This means that when the two right-angled sides of a right-angled triangle are 3 (hook) and 4 (strand) respectively, the diameter index corner (string) is 5.

Later, people simply said that this fact was "Pythagorean four strings five", and according to this allusion, the Pythagorean theorem was called the quotient high theorem.

2. In the third century AD, Zhao Shuang of the Three Kingdoms period made a detailed annotation of the Pythagorean theorem in the "Zhou Ji Sutra", which was recorded in the "Nine Chapters of Arithmetic" "Pythagorean multiplication, and divide by the square, that is, the string", Zhao Shuang created a "Pythagorean square diagram", and obtained the method by combining the shape and number, and gave a detailed proof of the Pythagorean theorem. Later, Liu Hui also proved the Pythagorean theorem in Liu Hui's note. In the last years of the Qing Dynasty in China, the mathematician Hua Yufang proposed more than 20 methods for the Pythagorean theorem.

3. Foreign: The ancient Babylonians who observed it as far back as about 3,000 BC knew and applied the Pythagorean theorem, and they also knew many Pythagorean arrays. In the library of Columbia University in the United States, there is an ancient Babylonian clay tablet numbered "Princeton 322", which records many Pythagorean numbers.

The ancient Egyptians also applied the Pythagorean theorem when building magnificent pyramids and measuring land after the flooding of the Nile.

4. In the sixth century B.C., the Greek mathematician Pythagoras proved the Pythagorean theorem, so Westerners are accustomed to calling this theorem the Pythagorean theorem.

5. In the 4th century B.C., the Greek mathematician Euclid gave a proof in the Geometry Primitives (Vol. 1, Proposition 47).

On April 1, Garfield published his proof of the Pythagorean theorem in the New England Education Journal.

The Pythagorean Proposition was published, a collection of 367 different proofs.

This is called the Pythagorean theorem in the West, and it was proved by the Greek mathematician Pythagoras in the 4th century BC. Chinese know that the Pythagorean theorem should not predate this period.

The history of the discovery of the Pythagorean theorem is described as follows

The history of this theorem can be divided into three parts: the discovery of the Pythagorean number, the discovery of the relationship between the length of the sides in a right triangle, and the proof of the theorem.

The Pythagorean number was discovered earlier, for example, in Egyptian papyrus (3,4,5), and the largest Pythagorean array involved in the Babylonian clay tablets is (13500, 12709, 18541). Later Chinese arithmetic scriptures, Indian and Arabic mathematics books are also recorded.

In China, the Pythagorean number of (3,4,5) is also described in the Zhou Ji Sutra; Li Ye, a mathematician of the Jin Dynasty, established a systematic Tianyuan technique through the relationship between the fifteen Pythagorean shapes and diameters of the Pythagorean circle schema in the "Measuring Circle Sea Mirror", and deduced 692 formulas for each side of the Pythagorean shape, in which multiple groups of Pythagorean numbers were used as examples.

It is unlikely that the quantity and quality of the Pythagorean number obtained by the Babylonians could have been obtained purely by means of measurement. None of Pythagoras himself survived, but a thousand years after his death, Proclus, in the 5th century, credited the Pythagoreans with the earliest discoveries and proofs in his annotations to Euclid's famous Geometry.

Plutarch and Cicero also gave credit to Pythagoras for their discovery, but there is no evidence that Pythagoras proved the Pythagorean theorem, and it is even more incredible that Pythagoras killed cattle for his famous spring food.

In China, the arithmetic books of the Qin Dynasty do not record the Pythagorean theorem, but only some Pythagorean numbers.

In the Nine Chapters of Arithmetic Notes, Liu Hui repeatedly used the Pythagorean theorem to find pi, and used the "cutting and repairing technique" to complete the geometric proof of the Pythagorean theorem.

Until now, there has been much debate about whether the Pythagorean theorem has been discovered more than once.