Pythagorean theorem. Who was Pythagoras and what is his theorem?

The Pythagorean theorem is one of the most important theorems in mathematics. The ancient Chinese, Egyptians and Hindus probably knew them. It allows us to calculate the length of the third side of a right triangle in a situation where the lengths of the other two sides are given. Who was Pythagoras? What is his claim, and when can we still use it?

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1. Who was Pythagoras?

Pythagoras was a Greek mathematician and philosopher born around 572 B.C.E. According to most accounts, he lived about 80 years, although one anonymous author claims that he lived as long as 104 years.

This researcher founded a school of philosophy, which was transformed over time into the Pythagorean union. He himself, together with his students, dealt with various fields of knowledge.

They were the first to distinguish even and odd numbers, distinguished rational numbers, proved that the sum of the angles in a triangle is equal to a semi-full angle. They were also the first to introduce the concept of the similarity of figures and formulate rules for the construction of regular polyhedra.

The area of ​​the parallelogram - the pattern

The formula for the area of ​​the parallelogram is: P = ah. So we calculate the area of ​​a parallelogram by multiplying its length by ...

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2. History of the Pythagorean theorem

In the circle of Western culture, this claim is attributed to the above-mentioned mathematician, but numerous pieces of evidence indicate that the discovery was made by the Babylonians. There are many indications that it was also known to the ancient Egyptians, Hindus and Chinese.

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3. What is the Pythagorean theorem?

This claim is:

If the triangle is rectangular, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse of the triangle.

We can visualize it as follows:

a² + b² = c²

where a and b are the hypotenuse and c is the hypotenuse.

Geometrically, this means that if we build squares on the sides of a right triangle, the sum of the areas of the squares on the side of the triangle will be equal to the area of ​​the square on the hypotenuse.

The area of ​​the parallelogram - the pattern

The formula for the area of ​​the parallelogram is: P = ah. So we calculate the area of ​​a parallelogram by multiplying its length by ...

read the article

4. Proofs for the Pythagorean theorem

There are many proofs for the truth of the above statement. Euclid in the Elements indicates that there are 8 of them, while in the course of time at least 118 of them appeared, while the German mathematician Freidrich proved that there are infinitely many of them.

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