Appreciation of high-definition wordless ancient books

Pythagorean theorem is called Pythagorean theorem in the west (also known as "Hundred Cows Theorem", because Pythagoras beheaded a hundred cows to celebrate after discovering this theorem). It is said that Pythagoras, an ancient Greek mathematician and philosopher, first discovered it in 550 BC.

The proof of the Chinese blue-Zhu discrepancy map was put forward by Liu Hui, a mathematician of Wei State in the Three Kingdoms period. In the fourth year of Wei Jingyuan (AD 263), Liu Hui annotated the ancient book Nine Chapters Arithmetic.

Indian mathematician and astronomer Bascara (active around 1 150) gave a wonderful proof of Pythagorean theorem and a split proof.

Proof of the famous Italian painter Leonardo da Vinci: in the picture textbook. The answer process is as follows:

①: Take a piece of paper with 12 times 12, draw two squares with side lengths of A and B, as shown in the figure, and then draw a line C to get two squares with areas of A and B respectively, and two right triangles with right angles of A and B with side lengths of C respectively;

(2) hollow out the interior of the hexagon with scissors, as shown in the above figure;

③ Cut the paper along the dotted line in the upper right figure;

(4) Turn the right half of the paper over (up and down) and re-spell it with the left side;

⑤. Connect the rearranged hexagons as shown in the right figure below to obtain a square with an area of c square and two right triangles with hypotenuse lengths of A and B respectively;

⑥ Deduction: The hexagonal areas in Figure ① and Figure ⑥ are equal. Subtract two isosceles triangles respectively, and the results are A square plus B square and C square respectively, from which it can be deduced that A square +b square =c square. This formula is Pythagorean theorem.