Chapter 148 Uncle Zong is thoughtful


Chapter 148 Uncle Zong, Thoughtful

He Xinyin is from the Taizhou School, while Xu Guangqi, Xu Guangqi’s teacher Jiao Hong, and Jiao Hong’s teacher Geng Dingxiang are also from the Taizhou School.

The origin of Taizhou School is Wang Gen, a disciple of Wang Shouren. Wang Gen also said that my body is a square, the world is a square, the body is the foundation, and the world is the end. But after Wang Gen said this, Immediately he said: If the rules are correct, you will know that the rules are not correct. Because the rules are not correct, the root will be cured and the last will be cured. To rectify oneself, everything will be rectified. To rectify others, one must rectify oneself first.

Moment, measurement.

Measure yourself and you will know whether the world is upright. If the world is not upright, it is because each individual is not upright, and the body is the foundation. Only when everyone takes care of themselves can the world be governed. Therefore, if you want to correct others, you must first correct yourself.

But most people in the Taizhou School like to take quotes out of context. The disciples of the Taizhou School are the same as Wang Shouren's disciples. Wang Shouren's disciples remove the unity of knowledge and action from the unity of conscience, while He Xinyin takes the Taizhou School If you remove the rules and regulations, and don't talk about the rules and regulations, and the self is the basis, the smell of being the last in the world will suddenly become unbearable.

Wang Gen also has many concepts, such as the idea of ​​simple equality: common people are not inferior, princes and kings are not high; Yao and Shun are the same as passers-by, saints and mortals are the same; saints are never high, everyone is never low, and the common people are not high. Use is the way.

What is a saint, and how to judge the criteria for a saint? The common people's daily use is the orderly way of the saints.

This is Wang Gen’s standard for saints, but what is He Xinyin’s standard? He Xinyin's standard is that the saint is myself, and I appoint the world's leaders to teach, raise, and manage the world.

"Wang Sikou, serving in the imperial court is not a child's play." Zhu Yijun rejected Wang Chonggu's plan to go back. Since Wang Chonggu had obtained the ministry's approval from the Ministry of Personnel and the approval from the court, he finally became the Minister, if he had not made a mistake, Zhu Yijun would not have demoted him back to his place for no reason.

Wang Chonggu knelt on the ground, feeling a little complicated for a while. On the one hand, he found that the little emperor was the same person as Zhang Juzheng. He always followed the rules when doing things. This is what his son Wang Qian always emphasized: life and death are in the hands of a gentleman. The blessings of the world are in the hands of villains, and the world is in great harm, and Wang Qian also showed his villain style to Zhang Siwei;

On the other hand, Wang Chonggu really wanted to go back, and the capital city was The water is too deep, and there is an old monster Zhang Juzheng and a little monster His Majesty the Emperor. If you are not careful, you will lose everything.

"I accept the decree." The emperor refused to let him leave, so he could only kowtow and continue the court discussion.

Li Ke reported to Wang Xiyuan, who was involved in the matter, and requested that the candidates pass the examination by concealing their names. After writing the draft list, they would then open the base book to fill in the list to prevent fraud.

Zhang Juzheng did not finish reading Wang Xiyuan's memorial, because Wang Xiyuan was talking about the problems of the official department.

The official promotion to the capital means promotion from local official to the capital. It is not based on ability, but purely on the softness and familiarity. It depends entirely on flattery and human relations. If the capital is broken, will the world be okay? ?

As for local affairs, those who are greedy for cruelty preside over important places without any credit to the court. They can choose their own places just because of flattery and favors. Such officials are the imperial court after all. The official department of the Communist Party of China, or the official department of the Jin Party?

This is no longer an ordinary accusation, but a question.

Zhu Yijun said with a puzzled look on his face: "Sir, this memorial written by Kechen Wang Xiyuan has many subtle allusions, and the influence is doubtful. What is its meaning? Who is he talking about?"
< br>You might as well speak more clearly.

Zhang Juzheng replied: "Wang Xiyuan was questioning the recommendation of Zhang Han, the Minister of the Ministry of Personnel, to recommend Wang Chonggu as the Minister of the Ministry of Punishments. The Minister of Huxing was a minister of the Ming Dynasty's vitality, and Wang Xiyuan was the minister of ears and eyes. The ears and eyes hurt the vitality and were not conducive to the country, so he did not make it clear. It was just After passing the official examination in the official department, he discovered these problems. "Especially the local officials, Yi Ah Ruan is familiar with it."

Wang Chonggu looked bitter, Zhang Han and Zhang Siwei. He didn't ask for his opinion at all, and he never thought about coming back to swim in this muddy water.

Zhang Han hurriedly threw away his hands, knelt on the ground, and said in a submissive voice: "Chen Cheng is guilty."

Wang Xiyuan was the 13th in the third class in the fifth year of Longqing, and Zhang Juzheng started from his own Most of the officials selected by Zhang Juzheng's subordinates are based on real evidence when speaking and doing things. Moreover, this is not the first time that Wang Xiyuan has communicated this matter with the Ministry of Personnel. Previously, Wang Xuanshou, the chief clerk of Ruian County, Zhejiang Province, was promoted to the magistrate of Ruian County. During the incident, it was discovered that this person failed to pass the Dharma examination, but was promoted to an official.

After a little inquiry, I found out that Wang Xuanshou paid a heavy bribe to get Zhang Siwei's way. In the capital, in the locality, people are appointed in this way, and whose official department is it?

Zhu Yijun suddenly thought of Sun Piyang's lottery method. After Sun Piyang became Minister of the Ministry of Personnel, he used the lottery method to serve.

"Sir, when the governors and commissioners from all over the country were inspecting their subordinate officials, they were not listed on the list. What kind of government system is it? And what do you want?" Zhu Yijun ignored Zhang Han's plea and asked Wang Xiyuan. solution.

Zhang Juzheng bowed his head again and said: "Your Majesty, good officials are not just those who are Jinshi in the Jia Department, and those who are in the Jia Department are not necessarily good officials. All officials who are qualified should be recommended for appointment, rather than based on their qualifications." , look at favors, see who is your disciple, if you just use them according to their familiarity, this kind of employment method will only make the officials in the world not seek merit, but seek no faults, and the officialdom will be as lifeless as a tomb passage. "

"The method of concealing one's name is to prevent the disadvantages of appeasement in the world."

"Waiting until the list is published, and then filling in the name in the booklet, it's like hiding the name in the imperial examination."

Zhu Yijun thought about it for a moment and said: "Sir's method of employing people, Mr. Zhang Dang cannot follow it." Are you familiar with Ah Ruan?"

"Your Majesty, you are wise." Zhang Juzheng was silent for a moment. Your Majesty made it very clear. It is true that after the method of anonymity, his subordinate Zhang Dang will also be affected. , when the time comes, will some of the people who are closely united around him also have to leave?

But Zhang Juzheng still explained this memorial in detail.

“What does Grand Sima think?” Zhu Yijun looked at Tan Lun and asked the leader of the Zhejiang Party for his opinion.

Tan Lun looked like he had nothing to do with himself and was just watching the fun. He looked at Zhang Han who was kneeling on the ground shivering, and then he felt happy when he saw Wang Chonggu's face turned bitter. When the emperor asked, he immediately said loudly: "I have no objection."

"As an official, I mostly do battles. Among the troops, if you don't kill the enemy or win the battle, you still want to be a general? That is absolutely impossible. The battle line is not If you can deceive people, you will lose if you win, and the rules of rewards, rewards, and punishments are clear and clear. "

"The method of hiding one's name is very good,"

Zhu Yijun looked at it. He looked at Ge Shouli and asked with a smile: "What do Mr. Ge think?"

"I have no objection." Ge Shouli thought for a moment and agreed with Zhang Juzheng's method of concealing his name, not that Zhang Dang himself If you don't use your name, you can use other people's names. Since you can use your name all at once, it's the rules of the game that everyone must abide by. He doesn't have any objections.

"What do you think, the Minister of Civil Affairs?" Zhu Yijun looked at Zhang Han and said.

Zhang Han knelt on the ground and said bravely: "I think it is inappropriate..."

"Oh, it is inappropriate." Zhu Yijun said with a smile: "Mr. Yuan Fu once told me, It is true that the minister should tell you clearly. How can he be vague? Let Wang Xiyuan explain clearly what he did not say clearly. He should tell the truth about who he is in Jingtang. "

"I think it's very appropriate!" Zhang Han immediately shouted again, "Don't ask, don't ask. If you really ask something again, what should I do?"

Wang Chonggu is clearly standing in the court hall. Is there any more ironclad evidence than this?

"Let Wang Xiyuan tell the truth. Let me see whether the minister of ears and eyes is slandering me, the minister of Ming Dynasty's vitality, or whether I, the minister of Ming Dynasty's vitality, is draining the vitality of Ming Dynasty." Zhu Yijun ignored Zhang Han and bumped into Do you know where to turn when you get to the South Wall? It's too late!

Zhang Juzheng took out a memorial and looked at Zhang Han. To be honest, he had no intention of doing anything to Zhang Han. Zhang Han was the official minister of the imperial court, not Zhang Juzheng's official official minister.

Zhang Han does not serve the court, and Zhang Juzheng is not upright.

Zhang Juzheng originally didn’t want to break up with each other, let alone attack Zhang Han. Zhang Han recommended Wang Chonggu, and Zhang Juzheng wanted to attack Zhang Han. This was not about doing things, it was about excluding dissidents, so he just wanted to scold Zhang Han. Be good to him. The thing is, most of the court officials in the court approved Wang Xiyuan's method of hiding his name. The three party leaders all agreed, but Zhang Han disagreed.

Yuan Fu held the memorial in his hand and read: "Wang Xiyuan reported: Guo Liang, the Qianshi of Shandong, was impeached and planned to be transferred to Guangdong; Huo Yuxia, the Qianshi of Guangxi, failed to inspect and returned to Jiangxi; Hu Zhengen chose Guiyang The county magistrates and Sima Zuo chose Jianyang County Magistrate, and Zhu Bing chose Pucheng County Magistrate. Han Ji, the minister, and Liu Bo, the minister, were already incompatible with public opinion, so it was inevitable to inspect them. How could they determine the lack of Taichang Shaoqing? "< br>


"Ah, this..." Zhu Yijun looked at Zhang Juzheng. This Yuan Fu has too much ammunition. Look at this long list!

Zhu Yijun looked at Zhang Han and asked with a smile: "Zhang Shangshu, did Wang Xiyuan falsely accuse you?"

"Yes or no?" Zhang Han said blankly. , he thought it was just one or two names, but it turned out that Zhang Juzheng had already checked him out! All the things he did were seen by Zhang Juzheng.

Zhu Yijun almost laughed when he heard this, and asked with a sneer: "I'm asking you, are you asking me? Have you done it? Are there any disadvantages of bribery and appeasement? You know it yourself, but I don't know it. ?”

Zhang Han raised his head and looked at Wang Chonggu, wanting Wang Chonggu to say something fair, but Wang Chonggu turned his head and said nothing. Zhang Han looked at Ge Shouli again, and Ge Shouli looked at his nose and nose. Observing the mind is like that old monk who has entered samadhi. When he doesn't know, he has to pretend to be confused.

Zhang Han looked at Wan Shihe, the Minister of Rites, hoping that Wan Shihe could help.

Wan Shihe thought for a moment and bowed his head and said: "Your Majesty, I think this is a good way to hide your name. This book cannot be in the Ministry of Personnel. Otherwise, if the book is filled in the draft list of the Ministry of Personnel, it will be just After a brief interlude, I thought that after this booklet was sent to the capital, it would not be sent to the Liu Ke Lang, Wenyuan Pavilion, and the Secretary of Ceremony. It would be sent directly to the Wenhua Hall and placed in front of this official book screen. "

Wan Shihe pointed to the fifteen pages of the official book screen and said very solemnly: "Put it here, add a box and lock it. Your Majesty, it is in full view of everyone. There are so many courtiers looking at it. Secretary Li The supervisor is watching, and your majesty is watching. When the time comes, the draft list will be announced. It will not be too late to open the book with your majesty's imperial edict."

"Wan Shangshu, the key to the lock of this book is here. Who keeps it?" Zhu Yijun looked at Wan Shihe and asked calmly.

Wan Shihe said matter-of-factly: "Of course it will be kept by Your Majesty! As I said, when opening the booklet, please ask Your Majesty to issue an imperial decree to open the booklet."

"Your Majesty, a seal must be affixed to this box, and the Minister of Civil Affairs, Yuan Fu, and the Supervisor of Ceremonies must sew and seal it together."

If this box is moved, the Official Secretary, Yuan Fu, and Si If the ceremonial supervisors are all that person's followers, then the Ming Dynasty will die. No one will know if the emperor is replaced tomorrow.

Zhu Yijun was stunned. He admitted that he had some prejudices against Wan Shihe. He thought that Wan Shihe had to keep the key to the lock in his pocket. It is not unusual to compete for fame and fortune. Power is such a thing. Who would have too little? Taking a little authority is a little authority.

"Uncle Zong, you are thoughtful." After hearing this, Zhu Yijun affirmed Wan Shihe's proposal and praised Wan Shihe's work for the first time.

"I am ashamed, Your Majesty is so complimentary." Wan Shihe finally breathed a sigh of relief. He, the Minister of Rites, was finally called Uncle Zong instead of Wan Shangshu.

Wan Shihe looked at Zhang Han and asked calmly: "Zhang Shangshu, what do you think of my idea?"

Wan Shihe can only help Zhang Han. Here, if Zhang Han disagrees, then no one can really save him.

Zhang Han was silent for a long time, knelt on the ground and said: "I sincerely ask you to serve as an official and return home."

"Yes, sir, recommend someone to take charge of the job." Zhu Yijun did not hesitate and agreed directly. Zhang Han's career as an official was based on retreat and advancement? Then just get out of here, if you don’t want to do it, there are plenty of people who do it!

There are boomerangs everywhere in the Ming Dynasty. The powerful gentry used this sentence to criticize the common people every day. Zhu Yijun also used this sentence to criticize the ministers. Zhang Han himself was the official of the Quan Department, namely Zhang Juzheng and As a result of Yang Bo's compromise, now that Zhang Han is leaving, why does Zhu Yijun stay?

"Your Majesty, the minister is the minister of the vitality of the Ming Dynasty. The Minister of Punishment has just been appointed, and the Minister of Industry Zhu Heng has just been dismissed. The appointments and removals of ministers are so frequent, which may cause people to talk about it and damage the vitality of the Ming Dynasty." Zhang Juzheng exhaled and said again He bowed his head to intercede for Zhang Han.

Wang Chonggu has been very sure that Zhang Juzheng is basically protecting the courtiers. Zhang Juzheng does not have the whole story. The little emperor is so merciless that he can change the emperor if he disobeys. However, this emperor is still under the control of Zhang Juzheng, Qi Jiguang, Under the heavy protection of Feng Bao.

How to change? Are you making noise like He Xinyin?

"Sir." Zhu Yijun was a little unhappy when he saw Zhang Juzheng interceding with Zhang Han. Zhang Juzheng was still too conservative.

“Your Majesty.” Zhang Juzheng bowed his head again, but Your Majesty was still too radical.

It is child's play to appoint people in the dynasty. If the Ministry of Punishment, the Ministry of Industry, and the Ministry of Personnel change their directors so frequently, there will be trouble. "Then it's what Mr. Zhu said." Zhu Yijun said indifferently. In this round of strife, what can Zhang Han do to fight Zhang Juzheng? Anyway, he is not pro-government now, and if Zhang Han has any problems, it will be Zhang Juzheng who takes the blame.

Zhang Juzheng shook his sleeves, gave a respectful salute, and said sincerely: "I thank your majesty for your kindness, and I shed tears of gratitude."

"Sir, your words are serious. Come on, please get up quickly, please get up quickly," Zhu Yijun said quickly.

"Thank you, Your Majesty." Zhang Juzheng stood up, looked at Zhang Han and said: "Zhang Shangshu, it is better not to object to the matter that all the ministers agree with."

If he was shameless again, Zhang Juzheng really turned against him. Zhang Juzheng's attack this time was just to hide his name, not to drive Zhang Han out. Wan Shihe made up for it harshly and directly put the book in Lord Wenhua, please forgive me? Is it soft and ripe? Forget about the officials.

Seeing this, Zhang Han could only say helplessly: "I obey the decree."

The court discussion is still going on, and it is still talking about important things. The barbarians are ready to move. They are worried about the Ming Dynasty's capture of Gule Village last year and are ready to retaliate. The war in Liaodong is about to break out.

Li Chengliang, the commander-in-chief of the Liaodong Army, reported to the court: Prepare your troops and horses to fight again. When it snows, you can cut off one of his fingers again.

Why do we have to wait until it snows? We are afraid that the other party will run away and fail to achieve the strategic intention of cutting off one of his fingers.

"Is Uncle Ning Yuan so confident?" Zhu Yijun looked at Wang Guoguang and asked, "Is there any payment owed this year?"

"Reporting to Your Majesty, there is no payment owed." Wang Guangguang He said with a red face, the Ministry of Revenue bought silk for the officials of the Ming Dynasty to make official uniforms. This was done after all the arrears were paid. It has been three years, a full three years. In the past three years, Wang Guoguang, the Minister of the Ministry of Revenue, In order to fill the previous hole, I have gone through various twists and turns, and today, I can finally tell Your Majesty openly that there is no salary owed.

Li Chengliang’s confidence also comes from this. The fully paid Ming army, the barbarians and the slaves, how can they fight against the Ming army!

When Zhu Yijun heard this, he said with a smile: "It's okay if you don't have it. Since Yongle, all rewards for battles have come from internal funds, so give it to Uncle Ning Yuan. If you fight well, you will be rewarded. If you fight well, you will be rewarded." If you don’t do it well, you will definitely be punished.”

After the court meeting, Zhu Yijun did not start the banquet directly, but took Zhang Juzheng to the side hall. The thick curtain of the side hall was half opened, and the little emperor Looking at the man standing next to a strange musical instrument, he smiled and said: "Uncle."

"See Your Majesty, are you doing well with your Majesty's holy bow?" Zhu Zaiyu hurriedly saluted, while the disciple Wang Yaozhuo next to him knelt on the ground and performed a grand salute of five bows and three kowtows.

Wang Yaozhuo believed that the emperor had upheld justice for his family and washed away their grievances, so he knelt down like this. The Lu family’s viciousness in Shaanzhou was self-inflicted. Even the local leftist councilors couldn’t bear it, even without Wang Yaozhuo. Burning must also be dealt with.

Zhu Yijun asked Wang Yaozhuo not to give him such a hard knock every time, but Wang Yaozhuo insisted on giving a big salute.

"What kind of musical instrument is this, Uncle Emperor?" Zhu Yijun asked doubtfully as he circled around this strange musical instrument.

Zhu Zaiyu looked at the musical instrument in front of him and said confidently: "Your Majesty, twelve rhythms and eight are mutually reinforcing, and seven tones are separated by five and are mutually dependent. Each one has seven tones, and each of the twelve has eighty-four tones. "

"I don't know if the emperor can't talk about music theory." Zhu Yijun asked with a smile: "So, what is it?"

Zhu Zaiyu actually wanted to say. , you can learn if you don’t understand, but His Majesty is tired of learning music theory, so he had to solemnly reply: “It’s just a musical instrument!”

“I first used the strings, and found that the strings have eighty-four tunes, which are really It was a bit difficult to play. It was too wide and easy to touch by mistake. So I made this metal string soundboard with a rotating palace modulation. In this key, there is a copper-shaped mallet that strikes the strings to produce sound. It has eighty-eight keys. If After transposing it, it can reach 108 keys.”

Zhu Zaiyu opened the piano covers on both sides and showed off his invention.

Zhu Yijun did some research and found that this thing is a piano, but it is boxy and difficult to distinguish when the cover is not opened.

It is about five feet two inches long and four feet five inches wide. The outer shell is made of fir, and the whole body is painted with tung oil without any flaws. The inside is produced by the Bingzhan Bureau and used by the royal family. Zhu Yijun does not understand music theory and does not know this thing. What is in the belly?

"Uncle Emperor, let's start your performance." Zhu Yijun didn't waste any time and asked Zhu Zaiyu to play a piece before talking.

Zhu Zaiyu asked Wang Yaozhuo to start. Wang Yaozhuo was born in poverty. Wang Yaozhuo had really never been exposed to music as an art. However, he studied with Zhu Zaiyu for nearly a year and could play the music. success.

Zhu Zaiyu wanted to tell the little emperor that as long as he is willing to learn, he will definitely learn it.

Wang Yaozhuo was obviously not very skilled. After stumbling for a while, Zhu Zaiyu sat down in front of the piano and started playing smoothly.

Zhu Yijun really doesn’t have the musical talent. He only has two words for Zhu Zaiyu’s playing.

"It sounds good." Zhu Yijun looked at Zhang Juzheng and said, "Sir, do you understand music theory?"

"Reporting to Your Majesty, I don't understand, so I can only hear it sounds good." Zhang Juzheng was born in Gundo, if you ask him to play the war drum, he can still hit one, two, and three. If you ask him to taste the music, he can't taste it at all. If it sounds good, it sounds really good, and the timbre is really full. .

"Sir, do you want to learn something?" Zhu Yijun looked at Zhang Juzheng and asked.

"I have official business, so I won't learn this." Zhang Juzheng thought about it and expressed his dislike of music.

If you don’t know how to do it, Zhu Yijun can openly say that if you don’t learn it even if you don’t know it, it will be of no use to governing the country, so you won’t learn it.

"If the emperor is short of money, just talk." Zhu Yijun doesn't understand music, but he still strongly supports Zhu Zaiyu's music career. Basically, there is no upper limit.

Zhu Zaiyu really doesn’t spend much money playing music, because his musical instruments are all produced by the Military War Bureau, and his apprentices all learn arithmetic from him. Since Zhu Zaiyu returned to Beijing, The whole dozen cost less than three thousand taels of silver.

"I obey the decree." Zhu Zaiyu was helpless. He had already demonstrated the only music in the world, but His Majesty was still not interested in music theory.

It’s like playing the piano to an ox!

"I sent the Innate Tai Chi Diagram and the Five Elements Tai Chi Diagram to the Emperor's uncle. Uncle Emperor, why are the two curves almost overlapping but not overlapping?" Zhu Yijun asked for the answer.

Zhu Zaiyu answered very honestly: "I don't know sincerely."

He did understand those pictures. He didn't know if it was a coincidence or if there was some infinite reason. Among them, but he didn't know, let alone any guess.

"Okay." Zhu Yijun said with a smile: "Don't rush, just study slowly."

"Will your uncle teach arithmetic today? If not, my husband and I will go to the banquet. Let's go." Zhu Yijun stood up and planned to leave. Zhu Zaiyu came today to give a congratulatory gift, so that His Majesty the Emperor would know that he was not returning to the capital to earn a living, but was really working, and His Majesty's investment was not without return. .

"Your Majesty, I really have something to teach you about arithmetic." Zhu Zaiyu said quickly.

Zhu Yijun said with sudden interest: "Oh? What is it?"

"Zu Chongzhi calculates pi." Zhu Zaiyu bowed his head and said.

Zhu Yijun nodded repeatedly and said: "I am very interested, very interested, tell me quickly."

Zu Chongzhi clearly calculated the last seven digits of pi, and later generations still used three to measure one. Zhu Yijun was very interested in Zu Chongzhi's method of calculating pi.

Draw a circle, then measure its length with a line, divide the circumference by the diameter, don’t you get pi?

There are errors in such measurements, and it is absolutely impossible to calculate the last seven digits of pi. If all mathematicians calculate like this, they are not mathematicians.

"Your Majesty, calculating and prescribing is a very convenient thing. It is not as difficult as imagined. Only those idiots who don't understand anything can say that Zu Chongzhi uses calculation to calculate to the decimal point. Seven, it's impossible!" Zhu Zaiyu first corrected a common cognitive error, that is, it is inconvenient to calculate.

In fact, arithmetic is like a simple abacus. Zhu Zaiyu did not practice it himself, but asked Wang Yaozhuo to demonstrate the arithmetic by opening an integer square, each small wooden stick, and each small square box. , it only took her a quarter of an hour to calculate the square root of 7 to seven decimal places.

"If you use an abacus, you can calculate faster." Zhu Zaiyu said sincerely.

"To talk about Zu Chong's calculation of pi, which is the density of a circle, we have to use the art of slicing a circle." After Zhu Zaiyu asked his apprentice to demonstrate the calculation of squares and squares, he was about to explain the art of slicing a circle. Zhu Yijun listened very seriously. Zaiyu explained it very thoroughly.

In fact, it is the infinite approximation of a regular polygon inscribed in a circle. The more sides a regular polygon has, the closer its perimeter and area are to those of a circle.

This problem is transformed into how to find the circumference or area of ​​a regular polygon. Zhu Yijun can understand that an inscribed regular hexagon with a radius of one has a side length of six, and pi, or the density of a circle, It's three, which is the three-dimensional one that has been used.

Zhang Hong and Feng Bao couldn't understand the following content at all.

"Can you?" Zhang Hong asked in a low voice. He was a little worried. If Feng Bao could understand, he would never think about his ancestor's position in his life.

Feng Bao said honestly: "No, it's just like listening to the Book of Heaven. Both His Majesty and Yuan Fu can understand it. You see, they occasionally discuss it with His Highness the Crown Prince, what? Those who connect internally and externally don’t understand at all.”

Your Majesty will ask, and you will be scolded if you pretend to understand.

"Zu Chongzhi was from the Southern and Northern Dynasties, and it must have been more than a thousand years ago." Zhu Yijun said with great emotion after listening to Zhu Zaiyu's explanation of the art of cutting circles and Zu Chongzhi's algorithm.

Zhang Juzheng made some calculations and said: "It has been one thousand and seventy-five years since Zu Chongzhi passed away."

The art of cutting circles has a strong differential thought, and is certainly not a painting. A regular polygon with 12288 polygons was calculated by hard work, but the power ratio of twelve lattice was used to continue the derivation. Only the polygon with 384 polygons was calculated. Zu Chongyi iterated a total of 11 times and performed 22 square root calculations.

At this point, Zhu Zaiyu did not stop, and continued: "Then next, Zu Chongzhi and his son Zu Xunzhi will deduce the volume of cones and spheres."

Zu Chongzhi calculated pi, and It was more than 1,500 years ago that his son derived the formulas for the volume of cones and spheres. Sorry it's a bit late today, but it's still updated as scheduled. Please give me a monthly ticket, oooh! ! ! ! ! ! !

 

 

(End of this chapter)

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