Take a plane to the Ming Dynasty

Chapter 169 What is a Circle?
The [-]th round cutting circle art, although Zhu Changyuan calculated all the numbers of the root, Cheng Shuzheng and more than a dozen abacus masters were only responsible for reviewing and checking the calculation, but the calculation was quite troublesome.

So it takes half an hour to get down one weight, which is two quarters of an hour in ancient times.

Next, the fourth step of the circle cutting technique is to calculate the side length of the 96-sided shape: 0.98157248 inches.From this, the third circle diameter ratio is calculated as: 96 (number of sides) × 0.98157248 (length of side) / 30 (diameter) = 3.14103195.

割圆大术第五重，算出190二边形的边长：0.49085195寸。由此算出第三重的圆周径比为：192（边数）×0.49085195（边长）/30(直径)= 3.14145247 。

割圆大术第六重，算出380四边形的边长：0.24543419寸。由此算出第三重的圆周径比为：384（边数）×0.24543419（边长）/30(直径)= 3.14155761。

Step by step, each step is getting closer to the ratio of the circumference and diameter calculated in Zu Chongzhi's "Zhu Shu", and the deviation from him is getting smaller and smaller. Even now, many people don't look at the results, but relying on Zhu Changyuan This trust is sure that the result is correct.

割圆大术第七重，算出760八边形的边长：0.12271812寸。由此算出第三重的圆周径比为：768（边数）×0.12271812（边长）/30(直径)= 3.14158389。

割圆大术第八重，算出一千530六边形的边长：0.06135919寸。由此算出第三重的圆周径比为：1536（边数）×0.06135919（边长）/30(直径)= 3.14159046。

割圆大术第九重，算出三千零72边形的边长：0.03067961寸。由此算出第三重的圆周径比为：3072（边数）×0.03067961（边长）/30(直径)= 3.14159211。

割圆大术第十重，算出六千140四边形的边长：0.01533981寸。由此算出第三重的圆周径比为：6144（边数）×0.01533981（边长）/30(直径)= 3.14159252。

When it came to the tenth step of the circle cutting technique, Zhu Changyuan's calculated circle-to-diameter ratio was only one place behind Zu Chongzhi's.

Although the result has not yet come out, the people at the scene are already boiling.

Those contemporary mathematicians, 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 took more than five hours to complete the ten-layer circle-cutting technique. The people on the front line were not tired, and he was screaming and shouting, almost unable to hold on.

Fortunately, his physical strength is much stronger than ordinary people.

Next, is the last day.

Zhu Changyuan didn't bother to explain the process of the question, so he directly copied the notes in the notebook, but replaced the Arabic numerals on it with Chinese characters.

割圆大术No.11重，算出一万二千280八边形的边长：0.00766990寸。由此算出第三重的圆周径比为：12288（边数）×0.00766990（边长）/30(直径)= 3.14159262。

One digit more than what Zu Chongzhi calculated.

A young student below stood up and shouted: "Master Zhu calculated the small eight number, which is one more number than Zu Chongzhi back then."

The man flushed with excitement.

Zhu Changyuan hurried up, erased the last two, and said: "Although I have calculated the small eight, it is a pity that the last digit is not accurate. Only the first seven decimals are correct, and the last digit is not acceptable."

"If we want to get accurate small eight numbers, we have to use small nine numbers to calculate from the beginning."

Looking at the time, it's almost two o'clock in the afternoon. The audience below are really trying their best, but I haven't eaten yet.

He was about to go down to find something to eat, but Song Yingxing grabbed him and asked, "Master Zhu, I still have a question to ask."

Zhu Changyuan said: "Master Song, please tell me."

Song Yingxing asked: "I have carefully observed the master's method and principle of solving the problem. If you follow the master's method, it seems that the circle cutting technique can be counted as No. 12. I don't know what the data will be in the future?"

Zhu Changyuan felt dizzy for a while.

What this guy raises is indeed a problem. Modern scientists have proved that pi is actually an irrational number, an infinite non-repeating decimal. As for the exact number, it does not exist, only an approximation.

"Yes, it is indeed as your lord said." Zhu Changyuan said.

Song Yingxing frowned, and asked again: "Is there still No. 13, [-], or even [-] or more?"

"Probably so." Zhu Changyuan was ambiguous, trying to fool Song Yingxing and leave, otherwise he would chase after him and ask when he would be tall.

Besides, Nima.

Because Song Yingxing's question was too sharp, all the people below seemed to stop talking, and stretched their necks to look at him like a drake.Uh, ducks are fine too!
"Then, this..." Song Yingxing seemed unsure, hesitating, and said, "Does this mean that this ratio of circumference to diameter will come to an end?"

"Endless!" Zhu Changyuan replied 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. It wasn't that they opposed Zhu Changyuan, but that they really couldn't accept Zhu Changyuan's statement.

There are endless numbers in this world.

"This is absolutely impossible." Cheng Shuzheng finally found an excuse to attack Zhu Changyuan, and said, "Master Zhu, don't be alarmist. There are no infinite numbers in this world. I believe that as long as you find an accurate method, you will be able to make this circle. Calculate the ratio."

Zhu Changyuan smiled bitterly, and said: "Master Cheng doesn't believe that he can do the calculations by himself." Seeing Song Yingxing thinking hard, Zhu Changyuan was afraid that he would fall into a dead end and could not extricate himself. From then on, the world would lose a great scientist with far-reaching influence, and comforted him: "Master Song, I have a question to ask you."

"Master Zhu, I'm sure I'll tell you everything." Song Yingxing woke up from his intoxication and replied.

"Let me make an analogy. From the capital to Tianjin Wei, the distance is used as a diameter to draw a great circle. Using the ratio of the circumference to the diameter calculated by Zu Chongzhi to calculate the circumference of this great circle, how much difference will there be from the actual length?"

Song Yingxing thought for a while, then shook his head.

"Let me tell you, the deviation is only as big as one soybean or two mung beans." After Zhu Changyuan finished speaking, he added: "Senior is a master of numerology, and I shouldn't ask you to persuade me. This question is just to persuade you. My lord, don’t get too addicted to it. In fact, the number of three and one cent and four centimeters given by Liu Hui is already enough.”

After persuading Song Yingxing, the people below fell into a war of words again. Some people insisted that pi must have a fixed value and can be calculated, while some people supported Zhu Changyuan.

After thinking for a while, he pressed his hands to signal everyone to be quiet, and said, "I ask you a question, what is a circle?"

"It's simple, the one who is round, one-hearted, and waits for the elders. Master Zhu said this just now, have you forgotten?" A young man in the audience kindly reminded.

Zhu Changyuan shook his head, and said: "That's what foreigners in the West say. Use our Chinese culture to explain: the round is all-encompassing, chaotic, ranging from melons and fruits to pearls, as large as the sun, moon and stars, and as large as the sky and the sky. It has something to do with it. The circle, the wheel of Taiji, comes back to life in a circle, the cycle is endless, the way of heaven and the great way are endless, all in it! ”

"So, let me say that the ratio of circumference to diameter is infinite, why not, why not?"

This explanation was groundless, but it was deeply convincing. After Zhu Changyuan finished speaking, no one came forward to defend him.

At the same time, a clear voice came from the system: to change the cognition of biotechnology in the parallel world, and to change the human worldview in the parallel world, the system rewards 1000 million contribution points.

shit.

Hearing the mechanical metallic sound in the system, Zhu Changyuan almost jumped up excitedly.

Nima, I worked so hard to beat Huang Taiji away, captured Princess Gulun of the Qing Dynasty, captured Geng Zhongming, and even captured Shenyang. Such a great contribution is not worth a lesson?

That's not all, just after the 1000 million rewards were reported, the system was already beeping non-stop.

"Obtain worship value, reward contribution value of [-] points."

"Gain prestige points and reward contribution value of 100 million points."

. . . .

There was a crackling sound, and I don't know how much it has increased in total. Anyway, after listening to the system sound, I opened the system interface and saw that the balance on it had suddenly become 740 million points.

"Wonderful, really wonderful." Cao Huachun clapped his hands and stood up, walked to Zhu Changyuan with a wretched face, and said, "Zhu Changyuan, you are really versatile in both civil and military affairs, hahaha, not only can you lead troops to fight, but you can also do it together with this math technique." Specializing in it really has to make people look at it with admiration.”

After saying these high-sounding words, he lowered his head and said: "The toothbrush for our family is really useful, Chang Yuan, you can find some more and send them to me later, some girls are also interested in it."

"Oh, there is such a thing, it's a trivial matter."

"Okay, okay." Cao Huachun walked out with a smile. He didn't eat at noon, and this guy was too hungry.

Wang Chengen also had a few polite words with Zhu Changyuan, and went out in a delicate sedan chair.

When Liu Zunxian came to Zhu Changyuan, he first congratulated and complimented him, and then kindly said: "Chang Yuan, it seems that you and Cao Huachun have a pretty good friendship."

Zhu Changyuan smiled without saying a word, just kept laughing.

In this kind of occasion, really don't say anything, say that you don't know him, that you don't have friendship?Didn't that fool Liu Dashangshu? If you want to say that you have a deep friendship with him, Nima will be labeled as a eunuch immediately.

"Cao Huachun has been in the palace for many years. He is a loyal person and has contacts with many Donglin people. However, not everyone understands the reason like this old man, so please do it yourself." After Liu Zunxian finished speaking, he patted Zhu Changyuan on the shoulder , walked out leisurely.

Zhu Changyuan was taken aback for a moment, he never thought that Liu Dashangshu still had such a heart, and he didn't beat all the eunuchs to death with a stick.

However, having said that, Cao Huachun doesn't seem to have a very good reputation. Is it really what Master Liu said?Forget it, the next time you return to modern times, look up the information.

　This chapter is a bit watery, okay, I'm sorry everyone
　　
　
(End of this chapter)