！！！！Hurry, hurry! Where did the Pythagorean theorem first appear? Please speed

The Pythagorean theorem or Pythagorean theorem, also known as the Pythagorean theorem or Pythagoras theorem. is a fundamental geometric theorem that is traditionally believed to have been proved by Pythagoras in ancient Greece. It is said that after Pythagoras proved this theorem, he beheaded a hundred oxen in celebration, hence the "Hundred Oxen Theorem".

In China, a special case of the Pythagorean theorem is recorded in the Zhou Sutra, which is said to have been discovered by Shang Gao in the Shang Dynasty, so it is also called Shang Gao's theorem; Zhao Shuang of the Three Kingdoms period made a detailed annotation of the Pythagorean theorem in the "Zhou Ji Sutra" as a proof. France and Belgium call it the donkey bridge theorem, and Egypt calls it the Egyptian triangle.

The Pythagorean tree is a fundamental geometric theorem that is traditionally believed to have been proved by Pythagoras in ancient Greece. It is said that after Pythagoras proved this theorem, he beheaded a hundred oxen in celebration, hence the "Hundred Oxen Theorem". Pythagoras.

In China, the formula and proof of the Pythagorean theorem are recorded in the Zhou Sutra, which is said to have been discovered by Shang Gao in the Shang Dynasty, so it is also called Shang Gao's theorem; Zhao Shuang of the Three Kingdoms period made a detailed note on the Pythagorean theorem in the "Zhou Ji Sutra" and gave another proof.

It should be: so the folding moment is to hook the wide three, the stock repair four, and the meridian five. These words came from the dialogue between Zhou Gong and Shang Gao, the founder of the Western Zhou Dynasty. Pure brain handmade.

According to research, mankind's understanding of this theorem is more than 4,000 years! It is also recorded that there are more than 300 proofs of this theorem in the world today!

One of the ten books of the Sutra of Calculation. Written in the second century B.C., it is the oldest astronomical work in China, mainly expounding the theory of heaven and the quadrangular calendar at that time. At the beginning of the Tang Dynasty, it was stipulated that it was one of the textbooks of Guozijian Ming Arithmetic, so it was renamed "Zhou Ji Sutra".

The main achievement in mathematics of the Zhou Ji Sutra is the introduction of the Pythagorean theorem and its application to measurement. The original book did not prove the Pythagorean theorem, and its proof was given by Zhao Shuang, a native of Eastern Wu during the Three Kingdoms, in the "Pythagorean Circle Square Diagram" in the book "Notes on Zhou Ji". The Zhou Ji Sutra uses a rather complex fractional algorithm and Kaiping method.

Upright matchbox transverse to downward.

ac⊥ac′ac=ac′

a＋b）（a＋b）÷2=（ab＋c²＋ab）÷2（a＋b）²=2ab＋c²

a²＋b²＋2ab=2ab＋c²

a²＋b²=c²

Establish.

This theorem is also known in China"Quotient high theorem", as it is called in foreign countries"Pythagorean theorem"。Why does a theorem have so many names? Shang Gao was a Chinese in the 11th century BC.

At that time, China's dynasty was the Western Zhou Dynasty, which was a period of slave society. In ancient China, around the Warring States Period, the Western Han Dynasty's mathematical work "Zhou Ji Suanjing" 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. "What is"Hooks, strands"This? In ancient China, people called the upper part of an arm that was bent at right angles"Tick", the lower half-closed celery part is called"shares"。

The meaning of Shang Gao's passage is that when the two right-angled sides of a right triangle are 3 (short side) and 4 (long side) respectively, the corner of the radius (that is, the string) is 5. Later on, people simply said this fact"Hook three strands, four strings, five"。

Since the content of the Pythagorean theorem was first seen in Shang Gao's words, people called this theorem"Quotient high theorem"。

Pythagoras was an imitative Greek mathematician who was born in the fifth century BC more than 500 years after Shang Gao. Another Greek mathematician, Euclid (a man around 300 B.C.), thought that this theorem was first discovered by Pythagodas when he wrote the Geometry Primitives, so he called this theorem"Pythagorean theorem", and then it spread.

Regarding the discovery of the Pythagorean theorem, the "Zhou Ji Sutra" says:"Therefore, the reason why Yu rules the world is because of this number. ""this number"Refers to:"Hook three strands, four strings, five", The meaning of this sentence is to say: The relationship between hooking three strands, four strings and five was discovered when Dayu controlled the water.

The Pythagorean theorem has a wide range of applications. There is such a record in another ancient book of the Warring States period in China, "Twelve Notes on the Postscript of the History of the Road"."Yu Zhi flood sedan car water to break the river, look at the shape of the mountains and rivers, set the momentum of the high, in addition to the monstrous disaster, so that the East China Sea, no drowning, this Pythagorean is also born.

The meaning of this passage is that in order to control the flood, Dayu will not make the rivers flow without decision, according to the terrain, determine the direction of the water flow, and guide the situation to make the flood into the sea, and there will be no more flooding disasters, which is the result of the application of the Pythagorean theorem.

I didn't see anything to prove......a^2+b^2=c^2

This is a proof of the basic inequality.

Your question should have been copied incorrectly, and the Ying Dan on the left side of the equation should be stared at +.

The last 5 formulas should be.

The conclusion is that if a 2=n+(n+1), then a 2+n 2=(n+1) 2

The first number is 3 5 7 9....2n+1

The number of remaining second covers is 4 12 24 40....2n^2+2n

The number of the third thing is 5 13 25 41. 2n^2+2n+1

Let the general formula be Hall Henghui: x y = z

Conclusion: Stop Lee is x pretending to answer = y+z

To clarify, the equation should be curvature.

The positive integer n is used to represent the first round of the equation n fibers.

2n+1) 2+(2n 2+2n) 2=(2n 2+2n+1) 2, then the fifth equation is wax imitation.

Solution: Let cf=a, then df=8-a

bac=∠eac, ∠bac=∠dca∴∠eac=∠dca

af=cf=a

In RT ADF.

af²=ad²+df²

a²=6²+(8-a)²

a²=36+64-16a+a²

16a=100

a=25/4

s△acf=cf×bc×1/2

The overlap area is 75 4

Let df=x, then ef=df=x

So af=ae-ef=8-x

Using the Pythagorean theorem in ADF: 6 2+x 2=(8-x) 2 gives x=27 4

So the area of the shaded part s=1 2*cf*ad=1 2 * 5 4 * 6 = 15 4

Rotten ruler: A-6|+2|b-8|+(c-10)²=0|a-6|≥0

2|b-8|≥0

c-10)²≥0

To make |a-6|+2|b-8|+(c-10) =0 can only be |a-6|=0

2|b-8|=0

c-10)²=0

Solution: a=6

b=8c=10

A +b =6 +8 =100=10 =c The triangular paulownia withered shape with a, b, and c as the sides is a triangle with a straight trapped hole.