Chapter 361
Yunyao's attitude is too bad. You can't do anything to me. I just want to write your arrogant attitude on your face.
The gossips held the hilt of the sword one after another, and they could evolve from literary fights to martial fights at any time.
"I have answered the question, but you are cheating and not admitting it, your heart is punished." Kang Tai said that his method of turning the curve into straightness has answered the question of the circumference.
"You didn't answer the second question."
"You're too bullying." Kang Tai slapped the table and angrily accused Yunyao of bullying others.
"It seems you who deceive people too much. I have learned my skills and sincerely explored the truth of the way of heaven, but I have not offended you. You listened to the wind and rain, and came to cause trouble for me thousands of miles, and said I deceived people too much? I want to ask if you dare to swear to heaven, saying that coming to me today is for the truth of the way of heaven, and for the people of the world. If it is not for the heaven to thunder, I don't think you dare to do anything, because you just come to provoke, not seek the great way. Are you only allowed to provoke and not allow me to fight back?"
"Okay, okay, you are very erotic, we won't fight with you. Then you can answer how can you get a round and long without a rope?" If the other party can't answer, Kang Tai will definitely lead You Shiqu to attack.
"It's very simple. You can draw circles casually and then use your method to find the length of the circle. Then we will know after comparing it."
Duke Wei said this was simple, so he asked someone to draw a circle.
It is still very simple to draw a circle. Just set a dot and then pull the rope around the dot and make a regular circle.
Duke Chu of Wei found various long and short ropes, first drew three circles, and calculated them separately on both sides.
"This one is 1,2 feet, three, six minutes, this one is 3,1,9 inches, two minutes, this one is 4,3,7 inches, four minutes." You Shi didn't even calculate the first one, and Yun Yao had already accurately measured the three circles to the point.
Naoki, Kangtai and Shangjing were sweating profusely. After measuring the first circle, the first circle was 'one zhang and three feet', which had a considerable error with Yunyao.
Can there be no error? The rope is elastic but can stretch and contract. How can the accurate circumference be measured completely? Moreover, the error of the rope appears twice, one is to measure the circle and the other is to measure it with a ruler, and there are errors in both times.
Everyone was already confused because although Yunyao's calculations were different from the measurement results, they were already very close. At this time, the audience was not sure who was more accurate.
"The second one is three feet and three feet." The error is even greater, but in everyone's opinion, three feet and three feet and three feet and one feet and nine feet and two minutes are also completely acceptable errors.
Xin Fang in the crowd couldn't help laughing. Yun Yao was a god. He could tell that the circle was long after he had calculated his fingers? These people were also looking for trouble. Yun Yao just worshipped Confucius as his teacher. These guys surrounded him like flies. I really hate it. Xin Fang didn't like aggressive You Shi.
However, Xin Fang was wrong this time. Yun Yao didn't count his fingers and used the circumference formula.
The last one, Kang Tai said in a mess: "It's four feet and three feet." This time it's similar to Yun Yao's calculations.
Duke Chu of Wei looked at Confucius and said how to judge this?
Confucius was also in a dilemma.
But Yunyao said, "It's better to draw a big circle with the longest rope."
Using the longest rope as the radius, the circle drawn far exceeds the measurement range of the rope. At that time, Yun Yao could still calculate it, but You Shike would not be so relaxed.
Confucius said: "I don't think so, Yunyao, don't keep it in hiding. How did you calculate it?"
For the sake of the teacher, Yun Yao explained the relationship between pi and circumference. This is not simple to explain clearly. Balabala said a lot, but obviously no one around him understood and yawned.
As long as you know the radius and substitute the formula, you can know the circumference.
However, even if there is a formula, it is not easy to complete the calculation. I still ask the craftsman to come over and calculate it, and I realized that this is indeed the case.
The three Youshi knew that they had lost. Although they couldn't understand, Yun Yao did understand something unknown.
"What is the reason?" Wei Chugong didn't understand, but he still wanted to ask.
"This is geometry. I think the king should know that when measuring land, we often need to calculate the length of the line and the area of the field. The lines have lengths and sizes, and if we learn geometry, it will be much more convenient when calculating." The earliest geometry was born to measure the land.
It is said that geometry first appeared in ancient Egypt. Because the Nile River in ancient Egypt was flooded, even once a year, the land was measured every year. Over time, a large amount of data was accumulated and the earliest geometric formula was deduced. Later, geometry was introduced to ancient Greece and became very popular and became the threshold for intellectuals.
In the Central Plains, there is no way to say that if you don’t read the Book of Songs, but ancient Greece did not learn geometry, don’t talk to me.
There is also a demand for measuring land in the Central Plains, but it is not that frequent, so the geometric development will be until the Han Dynasty. The main development of the Qin and Han Dynasties is to seek long-term stability and political systems. Moreover, if the Yellow River also floods every year, the Central Plains will definitely think of controlling water instead of re-measurement of land every year. After all, the environments of the two civilizations are too different. The Central Plains control water because the Yellow River floods, and flooding of land is a loss. However, because ancient Egypt was in desert areas, the flooding of rivers would bring water and nutrients to the land and make the food grow better.
The environmental gap has allowed civilization to choose different development directions.
Of course, there is also a lot of mathematical knowledge about water conservancy, but water conservancy scientists in the Central Plains did not summarize the formula, but only rough calculations and calculations.
In ancient Greece, geometry changed repeatedly on paper, from geometric patterns to numbers. Although there were not many practical things, it did promote the development of mathematics.
Now Yunyao has taken out the geometry, which has benefited many craftsmen a lot.
Confucius found that Yunyao knew too much, but he was not envious, because geometry was just the knowledge of craftsmen. As a noble, he didn't have to go to the ground to measure the land or work by himself. He just wanted to make sure that everyone performed their duties. Confucius' limitations were still very large.
Later, Mencius even said that those who work hard to govern others, while those who work hard to govern others. It can be seen that Confucianism never thought about equality, and it is no wonder that they were almost killed by Buddhism during the Sui and Tang Dynasties.
After Buddhism was introduced into the Central Plains, it was very popular, especially after the emergence of Zen Buddhism in the Tang Dynasty, the idea that everyone could suddenly realize and become a Buddha was very attractive. Intellectuals in the Tang and Song dynasties talked about Buddhism and Taoism and challenged the etiquette and morality represented by Confucianism.
Confucius had lived a good life in a few years, and it was too late to change now. Being able to tolerate Yun Yao and not stop Yun Yao from being innovative has shown that Confucius is an enlightened old man, and he does not ask him to make a turn of 180 degrees in his lifetime, and suddenly he becomes down-to-earth and begins to get close to the working people.
Confucius has been pursuing the lost aristocratic spirit throughout his life, and it is impossible for him to wake up before his death.
The winner was decided, and the question of You Shi was answered correctly by Sha Gu, but they couldn't fight Yun Yao's question. You Shi could only leave Weiguo in shame and never stayed in the same country as Yun Yao again.
However, Yun Yao was not famous this time because You Shi would not help her promote her and become famous. All the scholars tacitly forgot the debates that had taken place in Wei State and were collectively silent.
Chapter completed!