Six thousand eight hundred years ago, some pottery was unearthed from the Banpo cultural site. These pottery had 22 kinds of symbols on them, with 1-8 dots forming an equilateral triangle, and dividing the square into one hundred small squares. Pattern, which is considered to be the oldest mathematical form on the land of China.
In the early days of the Zhou Dynasty, Shang Gao and Duke Zhou talked about the Pythagorean Theorem, and said that Fuxi¡¯s era already had the consciousness of calculation. What about the numbers that exist?
Although this is a deliberate question by Duke Zhou, the purpose is to explore the fundamentals of mathematics, but judging from the format of the question alone, it looks like some ignorant critics of later generations who see things they don¡¯t understand on the Internet. Just ask "you measured it yourself"?
And earlier, as for the two ancient emperors, Baihuang and Zhongzhong, who inherited Fuxi's mantle and continued to study primitive arithmetic, there is no textual research on this, and it can only be regarded as a legend.
As for the Pythagorean numbers themselves, the ancient Babylonians, ancient Egyptians, ancient Indians, and ancient Chinese all discovered these number groups at the end of the Neolithic Age.
Later, the Greeks' proof calculations were more rigorous, explaining where it came from and why it became this "theorem". Of course, it is worth mentioning that Chen Zi in ancient China perfected this theorem earlier than Pythagoras, and even used this theorem to measure the distance from the earth to the sun.
Now the old man and the young man are discussing this issue.
Why can this set of numbers be this set of numbers?
Chonghua was surprised when he saw that young man, because it was the horse shepherd boy in Mount Juci!
Juci Mountain is in the Central Plains, and the muddy water flows out of it.
"Tianshi Taikai?"
Chisongzi recognized the other party at a glance. Tai Wei is an old Qi fighter hidden in Juci Mountain, but he has always appeared in the world as a herding boy. In the era of Emperor Yan, he was called "Da Kai's" ", Huang Di thought he was an old man and went to visit, but on the way he met him who looked like a child.
Later generations also called him "Hua Gai Boy".
He is very old, I don't know how old he is. He once told the Yellow Emperor that when he was young, he was suffering from dizziness when he was traveling in Liuhe. He visited an old man who asked him to take the sun's car and go to the countryside of Xiang , and then he was cured of his sickness.
Chi Songzi had heard about this incident before, and speculated that the old man he met should be Emperor Kuang, and only Emperor Kuang could drive the "car of the sun" at will.
As for the old man opposite the little celestial master, Chi Songzi felt familiar, but couldn't recognize him clearly, but they had already approached with interest, and the old man frowned when he saw people gathered, so he said: "You merchants from afar, instead of doing your own business, just watching an old man and a boy playing with branches, it's really boring!"
After he finished speaking, he waved his hand again: "Forget it, you don't understand these things, and they are useless to you. Take a look and go away. Don't disturb my interest."
Chonghua covered his face tightly, but the little celestial master still turned his head, with a suspicious look in his eyes.
Immediately afterwards, suspicion turned into surprise, obviously he had recognized it, but looking around again, the little celestial master raised his eyebrows.
At this time, he suddenly said to everyone: "I heard that in the southern world, there are people who use rules, measures, and yardsticks to measure the hillside. These are common things that have been used for a long time, whether they are branches or stones. The thing that can measure a circle is called a gauge, the thing that can measure a square is called a moment, and the thing that can measure the straightness of an object is a yardstick. These are things that have been handed down thousands of years ago."
"The length of the steps is determined by this, and the height of the mountain is also estimated by this. The three branches are placed continuously, just to prove whether this triangle is a special case or not."
The old man waved his hand: "They don't understand."
Everyone didn't say anything, just continued to watch, Wen Ming said to a few people beside him: "This old man is too contemptuous of people, isn't it just Pythagorean numbers, no one seems to understand the same."
Because this thing must be used in water control, Yuzai has already trained Wen Ming in these basic mathematics. In fact, the current Wen Ming is equivalent to an enhanced version of Dayu. The original Dayu knew these numbers. , but after using it in mountain and river governance, I couldn't make a perfect summary.
The most basic application of the Pythagorean theorem is probably to determine the direction of the water flow according to the height of the terrain.
And Ehuang, as a poor student, began to have some headaches.
Ah, math, I hate you.
The old man raised his head in surprise, looked at Wen Ming, pondered for a while,Asked: "Although the principles of heaven are contained in all things in the world, they should not be known by a child like you. Pythagorean numbers How do you know this word? Could it be that you are from the south?"
"I heard that people in the south are good at calculating these things. There was a distant visitor from the south called Shuhai, and he told us these numbers."
Wen Ming snorted: "I am from the Central Plains."
The old man hummed twice, and said to Wen Ming: "Let me ask you a question. A stick with a length of thirty figures stands upright on the wall. When the upper end slides down six figures, ask the lower end How far away from the corner?"
Wen Ming squatted down and did a little calculation on the sidelines. The process was different from the old man's calculation. The old man stared, and Wen Ming quickly gave the answer, which was eighteen numbers.
"good."
The old man looked at Wen Ming in surprise, as if looking at a fine piece of fine copper.
"Did you use Pythagorean numbers?"
"Of course!"
"But this is just a special case."
The old man was very interested in Wen Ming, and we started to chat deeply with him, but Wen Ming only knew about these things but didn't know why, so he hesitated and looked back from time to time. nodded:
"You have an amazing teacheryou are also a good student, but obviously, some deep thinking is missing."
Wen Ming was a little angry when he heard this, but the old man turned his eyes around at this time, pointed at Yan Zai and said, "It's you, his eyes just now fell on you."
The old man asked the old man for advice, and the young man stared at the simple number calculations, and first told the old man some strange things.
"When an old man asks me for advice, I have to respond. This is etiquette!"
Yan Zai picked up a stone casually, and Chonghua and Xiu hurriedly held it back: "A Zai (the leader) has the final say"
"What are you thinking!"
Yan Zai asked them to scatter, picked up another stone, and put it in front of everyone: "These are two stones."
Xiu whispered to Chonghua: "This one is Tao, and the other one is virtue?"
Chonghua didn't speak.
"Put a stone and another stone together, it is one plus one, it is addition, and then"
Yan Zai slapped the two stones into four accurately with a slap.
"It's a shortcut to addition, it's multiplication."
? Simple and easy to understand, instantly let many people understand.
It is indeed a shortcut, so that you don't have to get up to get the other two stones after you slap
Xiu also understood, and said to Chonghua again: "It turns out that the etiquette and morality smashed with morality, let the other party know the etiquetteIt is the same as what you said last time."
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