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 the Taizhou School is Wang Gen, a disciple of Wang Shouren. Wang Gen also said that my body is a rule, the world is a square, the body is the foundation, and the world is the end. But after Wang Gen said this, he immediately said: "Qie Ju" , then you know that the prescription is not correct, because the rules are not correct, the root is correct and the end is correct, the self is corrected before everything is correct, and the self must be corrected first to correct others.
Moment, measure.
By measuring yourself, you can 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 and conscience, while He Xinyin removes the rules and regulations of the Taizhou School. The smell of self-discipline and self-discipline and the end of the world suddenly becomes unbearable.
Wang Gen also had many concepts, such as the idea of simplicity and equality: common people are not inferior, and princes and kings are not high; Yao and Shun are the same as strangers, and saints are one with mortals; saints are never high, and everyone is never low. The common people's daily use is the way.
What is a saint and how to judge 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 about 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 piece of cake." Zhu Yijun rejected Wang Chonggu's plan to go back. Since Wang Chonggu got the ministerial meeting from the Ministry of Personnel, and got it recommended by the court meeting, and finally became a minister, he made no 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 as Zhang Juzheng, who always followed rules in 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 will suffer great harm, and Wang Qian also showed his villain style to Zhang Siwei;
On the other hand, Wang Chonggu really wanted to go back. The water in the capital was too deep, and there was an old monster Zhang Juzheng and a little monster, His Majesty the Emperor. If he was not careful, he would lose everything.
"I accept the decree." The emperor refused to let him leave, so he could only kowtow and continue the discussion.
The Li Ke reported to Wang Xiyuan, who was involved in the matter, and requested that the candidates pass the examination in a way that their names could not be used. After the draft list was written, the official list was opened to fill in the list to prevent fraud.
Zhang Juzheng had not finished reading Wang Xiyuan's memorial, and Wang Xiyuan was talking about the problems of the personnel department.
Promotion from the civil service to the capital means promotion from a 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, can the world be okay?
In terms of local affairs, those who are greedy for cruelty will preside over important places without any credit to the court. They can choose their own places just because of flattery and favors. Are such officials the officials of the imperial court or the Jin Dynasty? Where are the party officials?
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 Ke Chen Wang Xiyuan has many subtle allusions, and the influence is doubtful. What is its meaning? Who is he talking about?"
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 When I passed the official examination in the Ministry of Civil Affairs, I discovered these problems."
"Especially for local appointments, I am very familiar with it."
Wang Chonggu looked bitter. Zhang Han and Zhang Siwei never asked him for his opinion. He never thought about coming back to take a trip into 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 thirteenth in the third class in the fifth year of Longqing. He was the official chosen by Zhang Juzheng from his own sect. Most of Zhang Juzheng's sect spoke and acted with real evidence, and this was not the first time that Wang Xiyuan communicated with the officials about this matter. , Wang Xuanshou, the chief clerk of Ruian County, Zhejiang Province, was promoted to the magistrate of Ruian County. During the official affairs, it was discovered that this man failed to pass the legal examination, but he was promoted.
After some inquiring, it turned 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 the Minister of the Ministry of Personnel, he used the lottery method to serve.
"Sir, I want the governors and commissioners from all over the country to examine their subordinate officials, but they are not listed on the list. What kind of political system is it? And what do you want?" Zhu Yijun ignored Zhang Han's plea and asked Wang Xiyuan for a 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 to serve, rather than based on qualifications, favors, or whether they are good officials." If someone's subordinates only follow the rules of Yi'a, 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 the tomb passage."
"The method of hiding one's name is to prevent the disadvantages of appeasement in the world."
"Wait until the list is released, and then use the booklet to fill in the name, just like the imperial examination."
Zhu Yijun thought about it for a moment and said, "Sir's method of employing people, wouldn't it be impossible for Mr. Zhang Dang to follow Ah Ruan's approach?"
"Your Majesty is wise." Zhang Juzheng was silent for a moment. Your Majesty made it very clear. It is indeed true. After the method of hiding his name, Zhang Dang under his sect will also be affected. At that time, those people who are closely united around him will be Don’t you also have to leave part of it?
But Zhang Juzheng still explained this memorial in detail.
"What does Grand Sima think?" Zhu Yijun looked at Tan Lun and asked the Zhejiang Party leader for his opinion.
Tan Lun looked like he was just watching the excitement. He looked at Zhang Han who was kneeling on the ground shivering, and then he felt happy when he saw Wang Chonggu's expression turned bitter. When the emperor asked, he immediately said loudly: "I have no objection."
"I am an official mostly for fighting. If you don't kill the enemy or win the battle among the troops, you still want to be a general? That is absolutely impossible. The battle line will not lie. Losing is losing and winning is winning. , the rules of celebration, reward, power and punishment are clear and clear.”
"I think this method of concealing one's name is excellent."
Zhu Yijun 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 anonymizing his name. It does not mean that Zhang Dang himself will not anonymize his name, and other names will be anonymized. Since they are all anonymized, it is to set the rules of the game. Everyone must He abides by the rules and has no 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's inappropriate..."
"Oh, that's not appropriate." Zhu Yijun said with a smile: "Mr. Yuan Fu once told me that it is true that people should understand clearly when they tell you. How can you be vague about it? Let Wang Xiyuan explain clearly what he didn't say clearly, and transfer the place of Jingtang. , But who exactly is Yi Ah Ruanshu? To tell the truth, no hesitation is allowed."
"I think it's very appropriate!" Zhang Han immediately shouted again, "Don't ask, don't ask. If you really ask me something, 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, are draining the vitality of Ming Dynasty." Zhu Yijun ignored Zhang Han and hit the south wall. You know the turning point? Already? 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 imperial court, and Zhang Juzheng is an upright person who is not upright.
Zhang Juzheng originally did not want to quarrel with Zhang Han, 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 and do his job well, as a court official in the court. Most of them approved Wang Xiyuan's method of concealing his name. All three party leaders 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 elected Guiyang County Prime Minister and Sima Zuo selected The Prime Minister of Jianyang County and Zhu Bing selected the Prime Minister of Pucheng County. Han Ji, the minister, and Liu Bo, the minister, are already unacceptable by public opinion, so the inspection is unavoidable. How can we determine the lack of Taichang Shaoqing?"
"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 out loud when he heard this, and asked with a sneer: "I'm asking you, you're asking me? Have you done it? Are there any disadvantages of bribery and appeasement? You know it yourself. How can I 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. Ge Shouli looked at his nose, nose and mind as if the old monk had fallen into trance. Generally speaking, when you don't know, you have to pretend to be confused when you should.
Zhang Han looked at Wan Shihe, the Minister of Rites, hoping that Wan Shihe could help.
Wan Shihe thought for a while 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, filling in the name in the draft list of the Ministry of Personnel will be just a formality. I think this is a good way to hide your name." After the book is delivered to the capital, don't send it to the Liuke Gallery, Wenyuan Pavilion, and the Si Lijian. It should 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, in full view of everyone, with so many courtiers looking at it, the chief minister's big pendant Watch, your Majesty will watch. When the time comes, the draft list will be announced, please give us your Majesty’s imperial edict and open the booklet before it’s too late.”
"Wan Shangshu, who keeps the key to this book lock?" Zhu Yijun looked at Wan Shihe and asked calmly after hearing this.
Wan Shihe said matter-of-factly: "Of course it will be kept by His Majesty! As I said, when opening the booklet, I will ask His 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 was tampered with, and the officials, Yuan Fu, and Si Li Jian were all that person's followers, then the Ming Dynasty would have died, and no one would know if the emperor was 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 own pocket. It was not unusual to compete for fame and fortune. Who would have too little power? 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, you are 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 so far. If Zhang Han disagrees, then no one can really save him.
Zhang Han was silent for a long time, then knelt on the ground and said, "I sincerely request you to return to your hometown after becoming an official."
"That's right, sir, I recommend someone to take charge of the job." Zhu Yijun didn't hesitate and directly approved Zhang Han's appointment. Is retreating in order to advance? 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 became the official of the Quan Ministry, which was the result of the compromise between Zhang Juzheng and Yang Bo. Now that Zhang Han is leaving, why does Zhu Yijun stay?
"Your Majesty, the minister is a 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 appointment and dismissal 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 had already confirmed that Zhang Juzheng was basically protecting the courtiers, and Zhang Juzheng was not the one who kept the truth. The little emperor was so merciless that he could change the emperor if he disobeyed. However, this emperor was under the heavy protection of Zhang Juzheng, Qi Jiguang, and Feng Bao. Down.
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 aggressive.
Appointing people in the dynasty is nothing but child's play. If the Ministry of Punishment, Ministry of Works, and 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. I shed tears of gratitude."
"Sir, your words are serious. 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 continued to be shameless, Zhang Juzheng really turned against him. Zhang Juzheng's attack this time was just to hide his reputation, 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 your order."
The court meeting was still going on, and it was about major events. The newspaper was not collected at night, and the Tuman tribe was ready to make a move. They were worried about the Ming Dynasty's capture of Gule Village last year and were preparing for revenge. The war in Liaodong was about to break out.
Li Chengliang, the commander-in-chief of the Liaodong Army, reported to the court: "Strengthen your troops and prepare for another battle. 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 unpaid wages this year?"
"Your Majesty, there is no salary arrears." Wang Guoguang 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 of salary were paid. It has been three years, a full three years. Years have passed. In the past three years, Wang Guoguang, the Minister of Household Affairs, has made various efforts to fill the previous holes. Today, he can finally tell His 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 heavily. If you fight poorly, you will definitely be punished." Punishment.”
After the court meeting, Zhu Yijun did not start the feast directly. Instead, he took Zhang Juzheng to the side hall. The thick curtain of the side hall was half opened. The little emperor looked at the person standing next to a strange musical instrument and smiled. 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 paid homage like this. The Lu family in Shaanzhou was self-inflicted for their evil deeds. Even the local left councilors couldn't bear it. Even without Wang Yaozhuo, they would still be punished. .
Zhu Yijun asked Wang Yaozhuo not to give him such a violent blow every time, but Wang Yaozhuo insisted on giving a big salute.
"Uncle Huang, what kind of musical instrument is this?" 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, the twelve tones and eight tones are interdependent, and the seven tones are interdependent and interdependent. Each of them has seven tones, and each of the twelve tones has eighty-four tones."
"I don't understand whether the emperor can not teach music theory." Zhu Yijun asked with a smile: "So, what is it?"
Zhu Zaiyu actually wanted to say that if you don't understand, you can learn it, but His Majesty was tired of learning music theory, so he had to solemnly reply: "It's just a musical instrument!"
"When I first started using piano strings, I found that the eighty-fourth key of the strings was a bit difficult to play. They were too wide and easy to touch by mistake. So I made this metal string soundboard, which can be tuned by rotating the palace. There is a key in this piano. The copper-shaped mallet strikes the strings to produce sounds. It has eighty-eight keys. If the key is changed again, it can reach one hundred and eight 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 was a piano, but it was boxy and difficult to distinguish when the cover was not open.
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 paragraph 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 had studied with Zhu Zaiyu for nearly a year. If he could play a song, he would be considered a 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, and 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 a good sound." Zhang Juzheng was born in a military household. Music is a thing. If he is asked to beat the war drum, he can also knock out one, two and three, allowing him to appreciate the music. , it’s totally impossible to tell by tasting, it sounds really good, and the tone is really full.
"Do you want to learn something, sir?" Zhu Yijun looked at Zhang Juzheng and asked.
"I have official business, so I won't study 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 didn't spend much money playing music, because his musical instruments were all produced by the Military War Bureau, and his apprentices all learned arithmetic from him. Since Zhu Zaiyu returned to Beijing, he spent less than three days playing a full set of arithmetic. Thousand taels of silver.
"I obey." 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 just playing the piano to a cow!
"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 replied very honestly: "I don't know sincerely."
He did understand those pictures, and he didn't know if it was a coincidence or if there was some infinite reason in them, but he didn't know, let alone make any guesses.
"Okay." Zhu Yijun said with a smile: "Don't be in a hurry, just study slowly."
"Uncle, will you teach arithmetic today? If not, my husband and I will go to the banquet." 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 Beijing. Those who work hard are really working, and His Majesty's investment is not without return.
"Your Majesty, I really have something to teach you about arithmetic." Zhu Zaiyu said quickly.
Zhu Yijun said with sharp 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, but later generations still used three digits as 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 calculated like this, they would not be mathematicians.
"Your Majesty, calculation is a very convenient thing. It is not as difficult as imagined. Only those idiots who don't understand anything will say that it is impossible for Zu Chongzhi to use calculation to seven decimal places. Yes!" Zhu Zaiyu first corrected a common cognitive error, that is, it is inconvenient to calculate.
In fact, calculation is like a simple abacus. Zhu Zaiyu did not practice it by herself, but asked Wang Yaozhuo to demonstrate the calculation to open an integer square, each small wooden stick, and each small square box. It only took her a moment. In a matter of minutes, the square root of 7 was calculated 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 circumference and area are to those of a circle.
This problem is transformed into how to find the perimeter or area of a regular polygon. Zhu Yijun can understand that the side length of an inscribed regular hexagon with a radius of one is six, and the pi ratio, or the density of a circle, is three, which is I have been using the three-dimensional one.
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 again in his life.
Feng Bao said honestly: "No, it's just like listening to the heavenly book. Both His Majesty and Yuan Fu can understand it. You see, they occasionally discuss with His Highness the Crown Prince, what is internal and external, it's not at all don't know."
Your Majesty will ask. If you don't understand and pretend to understand, you will be scolded.
"Zu Chongzhi was from the Southern and Northern Dynasties, and it must have been more than a thousand years ago." Zhu Yijun said with 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."
Circle slicing has a strong differential idea. Of course, it is not a hard calculation by drawing a regular 12288-sided polygon. Instead, it uses the power ratio of 12 degrees to continue the derivation. It only needs to calculate a regular 384-sided polygon. Zu Chongyi iterated 11 times in total. , 22 square root calculations were performed.
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."
It was more than 1,500 years ago that Zu Chongzhi calculated pi and deduced the volume formulas of cones and spheres with his son. Sorry it's a little late today, but it's still updated as scheduled. Please give me a monthly ticket, oooh! ! ! ! ! ! !
(End of chapter)
