Six thousand eight hundred years ago, some pottery was unearthed from the Banpo Cultural Site. There were 22 kinds of symbols on these pottery, using 1 to 8 dots to form an equilateral triangle, and dividing the square into one hundred small squares.
Pattern, which is considered to be the oldest mathematical form in China.
In the early Zhou Dynasty, Shang Gao and Zhou Gong discussed the Pythagorean Theorem, and said that Fuxi already had a sense of calculation in his time. Zhou Gong asked how to find out the distance between heaven and earth when there are no steps to climb in the sky and no dimensions to measure on the earth.
What about the numbers that exist?
Although this is a deliberate inquiry by Duke Zhou, the purpose is to explore the fundamentals of mathematics, but from the simple point of view of the question format, it is very similar to some unlearned fools in later generations who saw things they couldn'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 research on this and it can only be regarded as a legend.
As for the Pythagorean numerals themselves, the ancient Babylonians, ancient Egyptians, ancient Indians, and ancient Chinese had already discovered these number groups at the end of the Neolithic Age.
Later, the Greeks made more rigorous verification experiments and calculations, 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.
Chen Zi 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 very issue.
Why can this set of numbers become this set of numbers?
Chonghua was surprised when he saw the young man, because he was the horse-herding boy in Juci Mountain!
Juci Mountain is in the Central Plains, and the Gushui River flows from it.
“Tianshi Taikai?”
Chisongzi recognized him at a glance. Tai Wei was an old Qi practitioner hidden in Juci Mountain, but he had always appeared as a horse-herding child. In the time of Emperor Yan, he was called "Da Weishi"
", Huang Di thought he was an old man and went to visit him, but met him on the road who looked like a child.
Later generations also called him "Huagai Boy".
He was very old, I don’t know how old he was. He once told Huangdi that when he was young, he suffered from vertigo while traveling in the world. He visited an old man and the old man asked him to ride on the sun’s chariot and go to Xiangdi.
The countryside, and then his illness was cured.
Chisongzi had heard about this incident and speculated that the old man he met must be Emperor Kuang. Only Emperor Kuang can drive the "Chariot of the Sun" at will.
The old man opposite the Little Heavenly Master felt familiar to Chi Songzi, but he couldn't recognize it clearly. However, Juzai and the others had already approached him with interest. When the old man saw people gathering over, he frowned and said:
"You merchants who have come from far away, instead of doing your own business, come to see an old man and a child playing with branches, how boring it is!"
He waved his hand after saying: "Forget it, you can't understand these things, they are useless to you, take a look and then go away, don't disturb my interest."
Chonghua covered his face tightly, but the little Tianshi still turned his head, with a suspicious look in his eyes.
Following this, suspicion turned into surprise. He had obviously recognized it, but when he looked around again, the Little Heavenly 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, regulations, and yardsticks to measure hillsides. These are common things that have always been used, whether they are branches or stones.
Anything that can measure a circle is called a gauge, something that can measure a square is called a moment, and something that can measure the straightness of an object is a yardstick. These are all things that have been passed down thousands of years ago."
“The length of the steps is divided based on this, and the height of the mountain is also estimated based on this. These three branches are constantly placed just to prove whether this triangle is a special case."
The old man waved his hand: "They don't understand."
No one said anything, they just continued to watch. Wen Ming said to a few people on the side: "This old man looks down on people too much. Isn't it just Pythagorean? No one can understand it."
Because this thing must be used in water control, Yu Zai has already trained Wen Ming in these basic mathematics. In fact, the current Wen Ming is an enhanced version of Dayu. The original Dayu knew these number combinations.
, but after using it in mountain and river management, I can't make a perfect summary.
The most basic application of the Pythagorean Theorem is probably to determine the direction of water flow based on the height of the terrain.
As a poor student, Ehuang began to have some headaches.
Ah, mathematics, I hate you.
The old man raised his head in surprise, looked at Wen Ming, pondered for a while, and asked: "Although the principles of heaven are contained in all things in the world, they should not be known to children like you. Pythagorean... You
How do you know this word? Are you from the south?"
“I heard that people in the south are good at calculating these things. There was a visitor from the south named Shu Hai, 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 digits is standing upright on the wall. When its upper end slides down six digits, may I ask its lower end?
How far away from the corner is it?”
Wen Ming squatted down and did a little calculation on the side. The process was different from the old man's algorithm. 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 he were looking at a piece of fine copper.
“Did you use Pythagorean calculations?”
"Of course!"
“But this is just a special case.”
The old man was very interested in Wen Ming and started chatting with him in depth. Wen Ming only knew about these things but didn't know much about them. He soon hesitated and looked behind him from time to time. After hearing this, the old man was slightly surprised.
nodded:
“You have a great teacher...and you are a very good student, but obviously, you are missing some in-depth thinking.”
Wen Ming was a little angry after hearing this, but the old man looked around in a circle at this time, pointed at Yu Zai and said, "It's you. His eyes just fell on you."
The old man asked Yuzai for advice. Yuzai 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!”
Yunzai picked up a stone, and Chonghua and Xiu quickly grabbed it: "Azai (the leader) forget it..."
“What are you thinking!”
Zheng Zai asked them to scatter, then picked up a stone and placed it in front of everyone: "These are two stones."
“One stone put together with another stone is one plus one, which is addition, and then...”
With a precise slap, Yu Zai smashed the two rocks into four pieces.
“This is a shortcut to addition, it is multiplication.”
Simple and easy to understand, many people can understand it instantly.
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It is indeed a shortcut, so that once you slap it down, you don’t have to get up to get the other two stones...