Take a plane to the Ming Dynasty

Chapter 159 Lana's Panic

"Yes, Lord Zhu, why is this, and please help me explain it!"

Not only Xu Ji, Xu Ermo and Li Ji, but also Zhang Luan, Fu Kuang, Wen Yongyan and Liang Chengxin watching Zhu Changyuan suspiciously.

It's very simple. You, Zhu Changyuan, were the first to discover and raise this question. You should know why?
How could Zhu Changyuan tell him so simply, and said to Li Ji with a smile, "My lord, please measure the diameter of this circle in another direction, and see what will happen."

Li Ji didn't want to obey Zhu Changyuan's commanding request, which made him seem like Zhu Changyuan's subordinate.However, he himself is a math fan, so he couldn't help the curiosity in his heart, so he measured it again with the help of two servants.

The result not only stunned him, but also stunned everyone around him. This time, the measured diameter turned out to be a little over thirty feet and four inches.

You must know that the descendants of these aristocratic families who came to Xu's mansion today are not the second generation ancestors in the true sense. They are more or less at a certain level, especially the level of numerology, which is far beyond the contemporaries peer.

"Why is this?" Everyone looked at Zhu Changyuan, hoping that he could say some profound theories and earth-shattering words, but Zhu Changyuan smiled indifferently, took a sip of tea, and said almost indifferently: "Then It's because Mr. Li used too much force when drawing the circle, which stretched the cotton thread."

"puff!"

"puff"

"puff".

Suddenly hearing what Zhu Changyuan said, Xu Ji, Xu Ermo and Fu Kuang, who were drinking tea from their teacups, spit out the tea in their mouths almost at the same time.

This bullshit, this nonsense reason, stretched the line, stretched the line.

Hey, don't tell me, it's really the reason.

Li Ji didn't drink tea, and he didn't vomit, but Zhu Changyuan took it out as a laughing stock for everyone, but his heart was more uncomfortable than those who were choked by tea, his face was so red that he couldn't speak.

What to use to counter Zhu Changyuan, what he said was right.

"Okay, just kidding, please don't care about the large number of Mr. Li." Zhu Changyuan smiled and cupped his hands to Li Jigong.

Li Ji returned the salute and said: "Chang Yuan is right, maybe this is the reason why I can't cut out the circumference-to-diameter ratio. I know it, and I will try to improve it in the future to get a more accurate circumference-to-diameter ratio."

Zhu Changyuan shook his head, and said: "This is only one of the reasons. The reason why your lord can't cut the circumference-to-diameter ratio is not here at all. Listen to me slowly."

After taking a sip of tea, he turned his head to everyone, and explained: "So, there is a problem with the mother body Mr. Li used to cut the circle. Sometimes the diameter is thirty feet and three inches, and sometimes it is thirty feet and four inches. Inch, what is this, it’s not a circle anyway.”

"Cutting on something that is not round, it would be strange if the ratio of the circumference to the diameter can be obtained."

Zhu Changyuan continued to take a sip of tea, and said: "Next, let me talk about the second question of Mr. Li's method." While talking, he pointed to Li Ji and asked, "Dare to ask, sir, is this ground absolutely flat?"

What is a plane?Junior high school students know it, but many doctors in the Ming Dynasty don't necessarily know it.

The fact that the doctor doesn't know doesn't mean that these guys don't know.Part of Xu Guangqi's translation of "The Elements of Geometry" contains all the contents of plane geometry.

That is to say, as long as these guys have a thorough understanding of Xu Guangqi's translation of "The Elements of Geometry", their geometry knowledge will not be weaker than that of a junior high school student.

Facing Zhu Changyuan's question, Li Ji thought for a while and said, "Chang Yuan is right, this ground is not absolutely flat."

"That's right." Zhu Changyuan didn't expect Li Ji to be so smart, and he seemed to know a lot, "Drawing a circle on a plane that is not an absolute plane will not be a circle, and there will naturally be deviations when measuring."

After talking about this, I asked the third question: "Thirdly, Mr. Li took out an irregular circle and cut it according to the method mentioned in Liu Hui's "Detailed Explanation of Nine Chapters of Arithmetic", even if it is thirty feet in diameter When the big circle is cut to the eight sides of 760, the length is only a little over an inch, dare to ask my lord, if there is a slight error in measuring this distance, how much deviation will the circumference have?"

Without waiting for Li Ji to answer, Zhu Changyuan said, "This deviation will increase by seven to eight or 68 times. In the end, it may be a few inches. Naturally, it may also be a few feet, or even ten feet. Zu Chongzhi, a master of numerology in the Southern and Northern Dynasties, will The diameter of the circle is seven times smaller than the cut, do you know how much he cut the side?"

The small seven number is an ancient representation method for decimals, meaning seven decimal places after the decimal point.

Xu Ji shook his body, and became inexplicably excited. He naturally had many doubts about the age-old riddle of Zu Chongzhi's cutting the circle, and asked, "I don't know how many sides Zu Chongzhi has cut?"

Chang Yuan replied: "1 eight sides."

Li Ji was shocked when he heard Zhu Changyuan gave such a precise answer, and said, "How do you know?"

"how do you know?"

"How does your lord know?"

……

Not only Li Ji, but everyone around him asked Zhu Changyuan questions at the same time.

Zhu Changyuan's words almost stirred up thousands of waves with one stone, and the ratio of circumference to diameter obtained by cutting a circle is an eternal mystery. Although Zu Chongzhi left a pi with seven decimal places, how this thing was cut out has been lost for thousands of years.

Now that Zhu Changyuan suddenly told about Zu Chongzhi cutting the circle to 12288 polygons, I really couldn't help these guys around me not getting excited.

This is an eternal mystery, how did Zhu Changyuan know.

Even the people around had the same idea: Did this guy get the calculation manuscript of Zu Chongzhi back then, or was there an ancient tomb where the ancient books of the predecessors were excavated?
Zhu Changyuan smiled slightly, picked up the teacup and took a sip slowly.

Xu Ermo next to him was very anxious, and said: "Brother, how did you know, don't be fooled and tell me, did you get the ancient book of Zu Chongzhi's calculation?"

Zhu Changyuan shook his head and said: "I'm just a fool, I finally got the real method of cutting the circle after hard thinking and meditation, and after spending a year cutting the polygon to 1 eight sides, finally appeared what Zu Chongzhi said The small seven number."

"Ah, you, do you know the real method of cutting the circle?" Xu Ji pulled Zhu Changyuan's arm excitedly. Although his father Xu Guangqi also used to cut the circle back then, it is a pity that he did not get the real method until his death.

Others don't know this, but he has a deep understanding.Every time after cutting the round, every emotion and disappointment Xu Guangqi said was deeply imprinted in his son's heart.

Now, Xu Ji knew that Zhu Changyuan actually knew how to cut the circle, so the excitement in his heart can be imagined.

If this great art of circumcision can be revealed to the world, then the father's spirit in heaven can also rest in peace.

"Is the result obtained by the general cutting circle technique the same as that obtained by Zu Chongzhi?"

Xu Ermo was also very concerned.

Zhu Changyuan nodded and said, "Exactly the same!"

"I implore my lord to teach me the method of cutting circles, Xu is very grateful?" In Xu Ji's eyes, tears flowed out.To say that his old father Xu Guangqi's life, whether he was an official or a man, achieved fame and fortune to the extreme.The only regret is that I was not able to see the real circumcision technique with my own eyes.

Although the others were not as exaggerated as Xu Ji, they all looked at Zhu Changyuan eagerly, including Liu Yunzhou and Li Ji.

"Alas!" Zhu Changyuan sighed deeply, and said: "The art of cutting circles is very troublesome, and it won't be explained to you in a short while, so how about it, three days later, at the Yamen of the Ministry of Industry, I started a class to teach the real circle-cutting technique, if you are interested, come and listen."

"Okay!" Xu Ji stood up, and gave Zhu Changyuan a deep bow, "Thank you, my lord, for your fulfillment."

Zhu Changyuan got up in a hurry, and together with Xu Ji, they bowed facing each other and saluted at the same time, saying: "In the morning three days later, I invite Mr. Xu to come to the Department of Cleaning Up Officials of the Ministry of Industry. I wish to be your lord." Looking at the people around, "I would like to solve the art of cutting circles for you."

After a pause, he said again: "My lord must prepare some necessary items for me."

"I wonder what items Chang Yuan needs?" Li Ji stood up and asked.

He is also from the Yamen of the Ministry of Industry, and is Zhu Changyuan's immediate boss.Subconsciously, he has regarded Zhu Changyuan as his own person, and if his own person needs something, ask Xu's family for it. As a boss, he doesn't have much face.

"My lord." Zhu Changyuan turned around, bowed to Li Ji, and said, "A large blackboard about ten feet long and wide, on which you can write. At the same time, you need some white stone pens."

"That's all?" Li Ji asked strangely.

"Yes, that's all!" After thinking for a while, he said again: "If it's convenient for your lord, it would be better if you can invite a few gentlemen who are good at calculation."

Zhu Changyuan is not willing to calculate every statistic by himself.

"it is good!"

Li Ji readily agreed that these things were just a drizzle to him, and the Ministry of Industry didn't have many other things, but there were a lot of them.

The reason why Zhu Changyuan didn't do calculations to everyone on the spot was because although the principle of the circle-cutting technique is simple, the calculation process is very complicated. He has to go home and use the computer to calculate it first, copy the data and bring it back to the parallel world, so as not to explain it. Time to make a fool of yourself.

At noon, I ate at Xu Ji's house.

Xu Ji was overjoyed, and entertained Zhu Changyuan and the others with the highest standard banquet in Xu Mansion.

Zhu Changyuan is not good at drinking, but under this special atmosphere, he actually drank a lot.It is said that the banquet is the most suitable place for human beings, especially men, to communicate. This is not false at all.

After a banquet, Zhu Changyuan not only resolved all kinds of resentments with Liu Yunzhou, but also turned enemies into friends with his boss Li Ji, shaking hands and making peace.

Of course, all of this is based on strength. If you have strength, others will think highly of you?
After lunch, Xu Ji personally sent Zhu Changyuan home.

Zhu Changyuan was slightly drunk and was sent to the upper room on the second floor in a daze.Lana and Yumin were very worried and came up to serve respectively.

Lana complained, and muttered: "It's agreed to come back to watch the moon with us at night, so drunk, what kind of moon is there?"

Zhu Changyuan was not as drunk and unconscious as Lana thought, but he was a little dizzy, and his mind was still quite clear. Hearing her words, he simply pretended to be drunk, reached out and pulled her over to hug her, saying : "Who is speaking ill of the master?"

Lana wanted to break free, but Zhu Changyuan was not as strong.

Yu Min was beside her, persuading her, "Husband, you are drunk, let go of Lana and get a good sleep."

Zhu Changyuan stared wide-eyed, and said: "Aren't you going to listen to the master, get out quickly."

　
(End of this chapter)