Chapter 43: What is a Circle?
Although Zhu Changyuan calculated all the numbers of the square, Cheng Shuzheng and more than a dozen abacus gentlemen were only responsible for reviewing and verifying, but the calculation was also quite troublesome. Pen % fun % pavilion www.biquge.infoβ₯,
Therefore, it will take half an hour to reload, which in ancient times was two quarters of an hour.
Next, the fourth part of the circumcision technique is to calculate the side length of the ninety-six sides: 0.98157248 inches. From this, the circumference ratio of the third weight is calculated as: 96 (number of sides) x 0.98157248 (side length) / 30 (diameter) = 3.14103195.
The fifth part of the circumcision technique is to calculate the side length of one hundred and ninety-two sides: 0.49085195 inches. From this, the circumference ratio of the third weight is calculated as: 192 (number of sides) x 0.49085195 (side length) / 30 (diameter) = 3.14145247.
The sixth part of the Great Technique of Cutting Circles calculates the side length of three hundred and eighty-four sides: 0.24543419 inches. From this, the circumference ratio of the third weight is calculated as: 384 (number of sides) x 0.24543419 (side length) / 30 (diameter) = 3.14155761.
Step by step, each step is getting closer and closer to the circumference ratio calculated in Zu Chongzhi's "Fixation Technique", and the deviation from him is getting smaller and smaller, and even now, there are many people who don't look at the results, but with this trust in Zhu Changyuan, they are sure that the results are correct.
The seventh part of the Circumcision Technique calculates the side length of the 768 sides: 0.12271812 inches. From this, the circumference ratio of the third weight is calculated as: 768 (number of sides) x 0.12271812 (side length) / 30 (diameter) = 3.14158389.
The eighth weight of the Circumcision Technique calculates the side length of 1,536 sides: 0.06135919 inches. From this, the circumference ratio of the third weight is calculated as: 1536 (number of sides) x 0.06135919 (side length) / 30 (diameter) = 3.14159046.
The ninth part of the Circumcision Technique calculates the side length of three thousand and seventy-two sides: 0.03067961 inches. From this, the circumference ratio of the third weight is calculated as: 3072 (number of sides) x 0.03067961 (side length) / 30 (diameter) = 3.14159211.
The tenth part of the Circumcision Technique. The side length of the 6,144-sided shape is calculated: 0.01533981 inches. From this, the circumference ratio of the third weight is calculated as: 6144 (number of sides) x 0.01533981 (side length) / 30 (diameter) = 3.14159252.
It has reached the tenth level of the Circumcision Technique. Zhu Changyuan calculated this circumference ratio. is only the last one behind Zu Chongzhi.
Although the results have not yet come out, the people at the scene are already boiling.
Some contemporary mathmasters, such as Cheng Shuzheng, Song Yingxing, Huang Mingyu and others, no longer need to look at the results to know that Zhu Changyuan has really solved this eternal problem.
Zhu Changyuan was tired to death, sleepy and hungry.
You must know that it has taken more than five hours to complete the ten-fold circumcision technique, and the people on the line are not tired. He screamed and shouted, and he couldn't hold it anymore.
Fortunately, his physical strength is much stronger than that of ordinary people.
Then came the last day.
Zhu Changyuan didn't bother to explain the process, and directly copied the notes on the notebook, but replaced the Arabic numerals on it with Chinese characters.
The eleventh weight of the Great Technique of Circumcision is calculated to be the side length of 12,288 sides: 0.00766990 inches. From this, the circumference ratio of the third weight is calculated as: 12288 (number of sides) x 0.00766990 (side length) / 30 (diameter) = 3.14159262.
One more digit than Zu Chongzhi's calculation.
A young student below stood up and shouted, "Master Zhu has calculated the small eight, which is one more than Zu Chongzhi back then. β
The man's face flushed with excitement.
Zhu Changyuan hurriedly went up and erased the one and two at the back. said: "Although the small eight numbers have been calculated below, it is a pity that the last digit is inaccurate. Only the first seven decimal places are correct, the last digit is not desirable. β
"If we want to get an accurate number of small eights, we have to use small nine numbers from the beginning."
Look at the time, it's almost two o'clock in the afternoon, and the audience below is full of energy, but unfortunately the old man hasn't eaten yet.
I was about to go down to find something to eat, but I was grabbed by Song Yingxing and asked, "Master Zhu, the old man has another question I want to ask." β
Zhu Changyuan said: "Lord Song, please speak." β
Song Yingxing asked: "I carefully observed the adult's problem-solving method and problem-solving principle, if you follow the adult's method, it seems that this circumcision technique can be counted to the twelfth level, I don't know what data will be in the future?" β
Zhu Changyuan's head was big for a while.
Modern scientists have proven that pi is actually an irrational number, an infinite non-cyclic decimal number, and as for the exact number, it does not exist, only an approximation.
"Yes, it is exactly as your lord said." Zhu Changyuan said.
Song Yingxing frowned, and asked again, "Is there a thirteenth, fourteenth, or even fifteenth, or even more?" β
"I guess so." Zhu Changyuan was vague, wanting to fool Song Yingxing and leave, otherwise he would be chased by him and asked, when will he be the head.
Besides, Nima.
Because Song Yingxing's question was so sharp, all the people below seemed to stop talking, and one by one they stretched their necks and looked at themselves like ducks. Well, the female duck too!
"Well, this... Song Yingxing didn't seem to be sure, hesitated, and said, "Does it mean that this circumference ratio will come to an end later?" β
"Endless!" Zhu Changyuan answered truthfully, as for how much these people can understand, it doesn't matter to him.
"Endless?"
"Endless."
"Impossible!"
Song Yingxing hadn't spoken yet, and the people below quit, not because they were against Zhu Changyuan, but because they couldn't accept Zhu Changyuan's statement.
in this world. Where there are endless numbers.
"This. No way. Cheng Shuzheng finally found an excuse to hit Zhu Changyuan. Said: "Master Zhu, don't be alarmist, there are endless numbers in this world, I believe that as long as you find an accurate way, you will definitely be able to calculate the circumference ratio." β
Zhu Changyuan smiled bitterly and said, "Master Cheng doesn't believe that he can calculate it himself. Seeing Song Yingxing thinking hard, Zhu Changyuan was afraid that he would fall into a dead end and would not be able to extricate himself, and from then on, there would be one less far-reaching scientist in the world. comforted: "Lord Song, I have a question for you. β
"Lord Zhu, please ask, the old man must know everything." Song Yingxing woke up from his intoxication and replied.
"Let me give you an analogy, from Jingshi to Tianjin Wei, this distance is used as the diameter to draw a big circle, and how much deviation will there be from the actual deviation of the circumference of this big circle by using the circumference and diameter ratio calculated by Zu Chongzhi?"
Song Yingxing pondered for a while and shook his head.
"I'll tell you, there's a deviation of just one soybean, or two green beans." Zhu Changyuan finished speaking. He also said: "The predecessor is a master of mathematics, and the kid should not have spoken out to persuade him. This question is just to advise adults not to indulge in this and not to extricate themselves. In fact, the number of three and one millimeter and four centimeters given by Liu Hui is enough. β
After persuading Song Yingxing, the people below fell into a war of words again, some people insisted that pi must have a fixed value that could be calculated, and some people supported Zhu Changyuan.
After thinking about it, he pressed his hand again to signal everyone to be quiet, and said, "Let me ask you a question, what is a circle?" β
"This is simple, round, single-minded, and so on for the elderly. Master Zhu just said this, did you forget it? The young people in the audience kindly reminded.
Zhu Changyuan shook his head and said, "That's what Westerners say." To explain it with our Chinese culture: the circle is all-encompassing, chaotic, as small as melons, fruits, pearls, and jade, as large as the sun, moon and stars, and then the great sky and the sky, all of which are related to it. The circle, the wheel of Tai Chi, is reborn in a circle, the cycle is endless, the avenue of heaven, endless, all in it!. β
"So, why not, why not, why not?"
This explanation is unfounded, but it is deeply convincing, and after Zhu Changyuan finished speaking, no one came out to defend him.
At the same time, a crisp sound came from the system: change the perception of biotechnology in the parallel world, change the worldview of human beings in the parallel world, and the system will reward 10 million contribution points.
the groove.
Hearing the mechanical metal voice in the system, Zhu Changyuan almost jumped up excitedly.
Nima, Lao Tzu worked hard to defeat Huang Taiji, captured Princess Gulun of the Qing Dynasty, captured Geng Zhongming, and even captured Shenyang, such a great credit is not worth a lesson?
That's not all, just after the 10 million reward is reported, the system is already ringing non-stop.
"Gain worship points, reward contribution points of 100,000 points."
"Gain Fame and reward you with a contribution worth 1,000,000 points."
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There was a crackling sound, and I don't know how much it has risen in total, anyway, after listening to the sound of the system, I opened the system interface and looked at it, and the balance on it suddenly became 27.4 million points.
"Wonderful, really wonderful." Cao Huachun clapped his hands and stood up, walked to Zhu Changyuan's side with an obscene face, and said: "Zhu Changyuan, you are really a civil and military all-rounder, hahaha, not only can you lead troops to fight, but you also have a specialization in this number of techniques, which really has to be impressive." β
After saying these high-sounding words, he bowed his head and said: "The toothbrush for our family is really easy to use, Chang Yuan, you can find a few more to send to me when you go back, and a few girls have also taken a fancy to it." β
"Oh, it's a small matter."
"Okay, okay." Cao Huachun walked out with a smile, he didn't eat at noon, and he couldn't stand the hunger.
Wang Chengen also said a few polite words to Zhu Changyuan, and went out in a delicate small sedan chair.
Liu Zunxian came to Zhu Changyuan, first congratulated and complimented, and then kindly mentioned: "Changyuan, it seems that you and Cao Huachun have a pretty good relationship. β
Zhu Changyuan smiled and didn't say anything, just a strong laugh.
On this kind of occasion, really don't say anything, saying that you don't know him and have no friendship? Isn't that fooling Liu Dashangshu, if you want to say that you have a deep friendship with him, Nima will be beaten into a eunuch immediately.
"Cao Huachun has been in the palace for many years, is loyal, and has dealings with many Donglin people. However, not everyone understands the reason as well as the old man, so you can do it yourself. After Liu Zunxian finished speaking, he patted Zhu Changyuan on the shoulder and walked out leisurely.
Zhu Changyuan was stunned, he never expected that Liu Dashangshu would still have this mind, and he would not beat all the eunuchs to death with a stick.
However, then again, Cao Huachun's reputation doesn't seem to be very good, is it really as Lord Liu said? Forget it, next time you go back to the modern era, check the information. (To be continued.) )
ps: This chapter is a little watery, okay I'm sorry everyone