Chapter 211 A Young Man in Fresh Clothes and an Angry Horse
The Yilun Hall is built with a single eaves hanging from the top of the mountain, seven rooms wide, and in the middle there is a throne where the emperor will sit. However, Zhu Yijun did not let anyone ascend the throne. Instead, holding a volume of book, a large blackboard and a few pieces of chalk beside him, he stood on the stage and looked at the people in the audience.
This was a very special class, a class where the emperor stood and the supervisors sat. This was against etiquette. The emperor stood while the students sat. However, the Minister of Rites did not raise any questions. Because this is what His Majesty requested.
Students need to take notes and take quizzes, which cannot be done while standing.
Behind the students, there were more than a dozen courtiers sitting, participating in the audience.
Zhu Yijun looked at the students in the audience. He knew clearly that the people below are almost certain to be Jinshi next year. In order to prevent the emperor's lectures from causing the emperor and his ministers to lose friendship, these are all the elite of the elite. .
Zhu Yijun, who has participated in many court meetings and court discussions, has no stage fright in the face of the crowd of heads in the audience, but he is not too tall, after all, he is still young.
It doesn’t matter if you are not tall. Fan Yingqi, a disciple of Jin Dang and Ge Shouli, has already made the podium much taller.
"Guo Shoujing." Zhu Yijun wrote a few big characters on the blackboard, and then said: "Guo Shoujing and Zhu Shijie are the last glories of Chinese arithmetic. Many students are wondering, why should we learn arithmetic? "
" Arithmetic is a book of thousands of different principles, which can be reached through the method of unifying the original. Arithmetic is the general economics of the three talents and all things. Arithmetic is the language of infinite all things. It is the only way to let all things speak. .”
"But the development of this knowledge stagnated after the end of the Tang Dynasty, and the Song and Yuan Dynasties were its last glorious moments."
"Zhu Shijie's "Arithmetic Enlightenment" and "Siyuan Jade Mirror" , it was only recently that the emperor picked it up and explained it completely."
"We are catching up with the glory of our ancestors' arithmetic."
The meaning of degree bypass does not need to be elaborated. , it penetrated into all aspects of the production and life of the Ming Dynasty. Even the courtiers who came to remonstrate did not talk about the art of evil. Most of them said that it was too difficult and asked the emperor to give some time so that everyone could learn it. I have not learned arithmetic for more than two hundred years out of habit.
It is an undoubted fact that the Ming Dynasty was lagging behind in arithmetic. Due to the influence of various trends and public opinions, the scholars of the Ming Dynasty, or the group of Confucian students, did not pay much attention to arithmetic. For example, the four chapters mentioned by Zhu Yijun now Yuan Shu is an equation with four unknown numbers. Let alone Four Yuan Shu, it is Tian Yuan Shu, an equation with unknown numbers. It is a difficult thing for Ming Dynasty to understand.
“Let’s first look at this triangle. This is the Yang Hui-Jia Xian triangle. It comes from "Detailed Explanation of Nine Chapters of Arithmetic" and was proposed by Yang Hui three hundred years ago. About five hundred and twenty years ago in the Northern Song Dynasty, Jia Xian This triangle has already been used, which is a typical combination of numbers and shapes.”
“We can easily see that the two sides of this triangle are all 1, and each number in the triangle is equal to the two numbers above it. The sum of One item."
Zhu Yijun expanded a (a+b+c+d)^2 and demonstrated the specific application of this Yang Hui triangle, considering a+b and c+d as a whole. Then it unfolds, which is called "Four-Yuan Self-riding Duan Diagram" in the Four-Yuan Illustrated Book.
He spoke very quickly, at a moderate speed, and quickly explained several examples in the Siyuan Jade Mirror very clearly and thoroughly.
Zhu Yijun talked for nearly half an hour and found that none of the examples were difficult. He suddenly said: "Here is an example." One foot is worth the number of soldiers. Now we are recruiting for fifteen days, and each person is paid two hundred and fifty cents per day. How much is the recruitment and payment? "
One person stands on one foot, and the cube is the number of soldiers. One day 3×3×3=27 people, on the second day there is one more person on each side, then 4×4×4=64 people, on the third day it is 5^3=125 people, and so on.
Zhu Yijun asked the students to calculate. The students took out the abacus and started to calculate. They were all integers. This was nothing rare. The total number of recruits was 3^3+4^3+5^3+...+15 ^3. The final result was 23,400 people and a total of 23,462,000 copper coins, which was 23,462 copper coins.
After a quarter of an hour, ninety students gave their answers one after another, and Zhu Yijun said with a smile: "The calculation is too slow, now we will interpolate four times to solve the problem."
“The upper difference is 27, the second difference is 37, the third difference is 24, and the fourth difference is 6. We only need to bring in such a formula and we can find the result very quickly.”
< br>Zhu Yijun finally talked about the practical application of the fourth interpolation difference method. He tried his best to explain it clearly and clearly, clarifying the concept of four differences and how to simply sum it up.
After he finished speaking, he noticed the confusion on the faces of the ninety students, and then he gave several example questions in succession. These students began to use it stumblingly. By the time the get out of class was over, the four-time interpolation method was used. It was finally fully mastered by the students.
Zhu Yijun showed a heartfelt smile and said with a smile: "Today's class has been overtime for more than half an hour, but I see that most of the students have learned this method. I am very pleased. The teacher told us that the interpolation method is too difficult, and I am afraid that students will not be able to learn it. Today I saw that this is not the case.”
“After class, students can use this interpolation method more often. It is actually not difficult. If not, don’t be shy, you can ask each other for advice.”
"I'm here. If you have any questions, you can ask."
"Your Majesty, the students have questions." Zhang Siwen was overjoyed when he heard that he could ask questions and raised his hand.
"Say." Zhu Yijun nodded, indicating that Zhang Siwen could ask questions.
"Your Majesty, the students are studying "The Western Algorithm" in the bypass hall. Today's arithmetic methods are all Western algorithms. Is this a comprehensive Westernization of arithmetic?" Zhang Siwen's question is not without its sharpness. This brings us to the core issue, the difference between Hua and Yi.
This question made Zhang Juzheng, who was sitting in the audience, immediately darken his face. In fact, this question has been lingering in the minds of the officials for a long time. The arithmetic of the Ming Dynasty has many references to the arithmetic of Europe and the West, including symbols, algebra, etc. It seems that They are all becoming fully European and Western.
Zhu Yijun said with a smile: "It is great to be tolerant of all rivers. The Central Plains dynasties have been open and tolerant in all dynasties, allowing the heads of hundreds of families to use themselves. Taking Buddhism as an example, I learned from Southeast Haishang and Hongmaofan, India has been replaced by the Mughal Empire, the Buddhist kingdom has been destroyed, and Taoism has been lost. Ming Buddhism is still prosperous, and I even built a pagoda."
"Just like the Weaver Girl is better at weaving, you let the Weaver Girl. Even the weaver can't catch wool, and a dyer who is good at dyeing is not good at mining coal, right? The reason for division of labor is that everyone has their own strengths. This is also true in this world. All living beings in the world have their own strengths. "
" Master Yiyun: When three people walk together, there must be someone who can teach me. "
" Returning to arithmetic and learning from Western arithmetic, it is not a comprehensive Westernization, such as the original text of "Taiwan Algorithm". It is indeed Taixi, but it is a treasure trove of arithmetic obtained after being translated by the Minister of Rites for a long time and then corrected by the emperor's uncle and me. This kind of arithmetic suitable for the Ming Dynasty is not entirely the Taixi algorithm, but the emperor's uncle's. Algorithm."
"As for those symbols and algebraic expressions, they are just for convenience of writing."
"A, B, C, D, addition, subtraction, multiplication and division are more troublesome than writing abcd+-×÷. It is for the convenience of calculation. The arithmetic is already very complicated."
"In fact, it is not exactly the Western algorithm. The sextant is Temuji. Invented by King Ulugh Beg of the Er Kingdom, the source of Taisi’s algorithm is also Algebra of Khwarizmo, who also communicated with the Tang Dynasty. The Arabic numerals we use were also invented by Indians and Arabs. Spread everywhere."
"Arabic numerals were already widely popular during the Song Dynasty."
Zhu Yijun answered this question from several aspects.
Firstly, the Central Plains Dynasty has not been a complacent culture since ancient times. Even in the Ming Dynasty, there were seven voyages to the West. During the Zhengde period, the Portuguese envoys Huo Zhe Yasan and Tomei Piles were stationed there. Jingshi and Longqing switches, and Ming Dynasty is actively communicating with the outside world.
In the Datong calendar of the Ming Dynasty, Emperor Taizu Gao once said: The Western Regions are the most accurate in predicting celestial phenomena, and their five-star latitude is unparalleled in China. He ordered Hanlin Li Chong and Wu Bozong to translate his book together with Huihui master Ma Shayihei and others. The compilation of the Datong Lili was a model of incorporating the strengths of hundreds of schools of thought.
The second aspect is from the division of labor. It is not shameful to recognize the excellence and leadership of others. In terms of summary and induction, Taixi's algorithm also has advantages, just like division of labor. Since it is ahead, Just use it. Anyway, it has to be translated and Chineseized. What I learned is indeed called the Taisei Algorithm, but it is not impossible to change the name to "Wang Zheng's Algorithm". Would changing the name make it more acceptable?
The Thai-Western algorithm was not completely a Thai-Western algorithm from its translation by the Ministry of Rites to its editing by the emperor’s uncle Zhu Zaiyu.
The third aspect is the actual meaning of mathematical symbolization and algebraization. For the sake of simplicity, write as few strokes as possible. The workload of arithmetic is really too great. For example, recently in For the triangulation distance measurement method, the 10-minute sine table has nine digits after the decimal point, which is really troublesome to write.
"Students understand." Zhang Siwen said very respectfully. He understood what His Majesty meant. The Thai-Western algorithm they learned was not entirely Thai-Western, but Thai-Chinese.
"Your Majesty, students also have questions." Seeing that His Majesty answered Zhang Siwen's question, Wang Qian raised his hand to ask.
"You ask." Zhu Yijun asked still smiling.
“Your Majesty’s students don’t understand that arithmetic is more like a highly complex intellectual game in which experts use their skills to solve difficult problems. Is it really so important? If it is important, why didn’t Ming Dynasty pay attention to it before? What should we pay attention to now?" Wang Qian expressed his doubts. He didn't understand the degree bypass.
As soon as Wang Qian said this, Wang Chonggu directly raised his forehead. He also specifically told Wang Qian not to talk if it was nothing. As a result, Wang Qian directly asked a very strange question, which is important for arithmetic or degree bypass. Sexual questioning.
"You asked a good question." Zhu Yijun said with a smile: "Yes, it is so important. Even if it is just a highly complex intellectual game, it can screen out a lot of logical inconsistencies in the imperial examination. This is enough to be worthy of promotion."
"The Ming Dynasty did not pay attention to it now, but it is actually the same as the law of the development of things."
"Everything. The law of development is roughly like sawing wood, sometimes forward, sometimes backward, but generally developing in depth."
"For example, before the Ming Dynasty, the trend of promoting culture and martial arts was very rampant, and since Wang Jifeng. Secret edicts were issued to kill military generals, and this trend spread to the Tumubao Incident, and then from the Hongzhi period to the 29th year of Jiajing. I answered that if I join the invaders, I must strengthen my martial arts. , because he did not pay attention to arithmetic, people in the Ming Dynasty could no longer even measure acres, so he had to pay attention to it again. "
As for the meaning of arithmetic, Zhu Yijun would need to talk about it for more than ten chapters to summarize. It is said that it is the three talents that govern all things.
When Wang Qian heard this, he found that His Majesty answered with a completely contradictory negative, and immediately expressed that he understood clearly.
In addition to the monstrous art of arithmetic, the Ming Dynasty also had another problem, that is, utilitarianism. Arithmetic and business are highly and closely integrated, and the low status of merchants is because merchants He is very utilitarian.
But if the imperial court is not utilitarian now, it will perish.
Zhu Yijun has been reading the historical records of the country recently. The weakness of the Ming Dynasty at this time was definitely not achieved overnight, but was a downward cycle. The speed of this downward cycle was not constant. There were also Emperors Yingzong and Xiaozong who stood up and Press the accelerator to the bottom and accelerate Daming downward.
Jiajing did not go to court, and Emperor Longqing did not see his ministers and ministers, but they still approved the memorial.
Thirty years after Emperor Wanli arrived, Emperor Wanli stepped on the accelerator directly into the fuel tank, causing the Ming Dynasty on the downhill road to dive into the abyss. No matter what, the memorial still needs to be approved.
“Can the recruitment method only be used in the summation of high-order power operations?” Another student started to ask.
Zhu Yijun talked about several application cases of the recruiting method with a smile on his face. The recruiting method is a fitting method that can be used in all aspects of life, such as building construction, recruiting soldiers, recruiting troops, freight, etc. Smelting, astronomy, etc., such as determining the amount of a certain material to be added in iron smelting, etc.
Zhu Yijun used the method of recruiting to explain how to calculate the visual degrees of the sun, moon and five stars. He only gave a brief taste of it. Calculating the actual degrees of the sun, moon and five stars is still too difficult for students. If they want to enter the Qin Dynasty Tianjian, you can continue to study.
Zhu Yijun answered the students' questions. It was not until sunset that Zhu Yijun ended the first class of the day.
Overall, his first class was extremely successful.
"Your Majesty, thank you for your hard work. Your Majesty's lectures are really thunderous, and the listeners are all enlightened." Feng Bao saw that everyone had dispersed, and he came up with a compliment. After giving a lecture, a person stood up For half an hour, it was really hard work.
"Flattery, prepare your horses and go to the capital camp." Zhu Yijun did not let Feng Bao continue to flatter him, but chose to go to the capital camp to parade the military horses. Emperor Cheng Zuwen once said that even if there is a knife from the sky, he must bear it. A steel umbrella went to the Beijing camp to parade the military horses.
The soldiers must know who the emperor is.
"Your Majesty, please take a day off." Yu Dayou was old, but he still insisted on finishing the class. He was a rough man, but he actually learned the recruitment method. Before coming, Zhang Juzheng asked the little emperor to explain After explaining the Four Elements Technique, His Majesty also talked about the Four Elements Technique and the Zhao Chai Method. Yu Dayou understood both the Four Yuan Technique and the Zhao Chai Method.
Of course, during this teaching process, no students asked the teacher to drag the class.
After all, there are twenty correction officers. Standing on both sides of the Yilun Hall, any student who dares to say this will definitely be corrected by physics.
"I have a rest today, and I want to rest tomorrow. I am too young to rest. I will go to the capital camp first. Everyone, please go back." Zhu Yijun waved his little hands, got on his horse, and ran outside the Desheng Gate. Go to Beitucheng.
Ge Shouli looked at His Majesty’s leaving figure and said with a smile: “You are young in bright clothes and angry horses.”
The sun was rising, and Ge Shouli was extremely pleased. He was also incredible at Zhang Juzheng's power to transform decay into miraculous power.
Zhang Juzheng held his hands and said: "Your Majesty lectures in simple and profound terms, and uses all available methods to make the students understand. Zhongshu Sheren recorded the daily notes and has excerpted them. Okay, this class is very good.”
“Zhang Huangbang announced the content of this class. The monthly exam will test the recruiting method. Those who get eight points out of ten will go to the Woolen Official Factory to fish for wool for three days. "Fan Jijiu, I'll leave this matter to you."
"Yes." Fan Yingqi immediately accepted the order. He did not think this was a very high request. His Majesty's lectures were extremely lively and logical. As for the students of the Imperial College, they cannot learn to be rigorous. If they don't find a rope to hang themselves up, it would be a shame for His Majesty's preparations.
The emperor gave lectures in person, and his lectures were so good that they exceeded everyone's expectations.
Zhang Juzheng was afraid that the students would not understand the recruitment method and asked the emperor to teach the Four Elements Art. He probably underestimated the emperor's teaching ability. Judging from the students' reactions after class and Yu Dayou's reaction, this The class was very successful.
The monthly exam of the Imperial College depends on this content, can you learn it? If you can't learn it, go to labor reform and experience the hard work of poor coolies. After three days of manual labor, you will know that today's life is hard-earned, and you will definitely learn it next month.
The Imperial College was immediately filled with mourning, but after Jiao Hong read the yellow list, he had fully understood the application of the recruitment method, which was really not difficult.
Zhu Yijun came to the Beitucheng camp again. He did not torment the soldiers. The training was over. He just walked around. The soldiers thought that the emperor would not come today, but before the sun set, I saw the emperor's chariot, the dragon flag and the emperor himself talking with Qi Shuai.
This made the soldiers in the Beijing Camp feel particularly at ease.
The dragon flag flying in the capital camp for one day proves that the Ming Dynasty's Zhenwu will not end.
After the news that Zhu Yijun had killed the cheap Confucian Chen Youren last time spread in the Beijing camp, Zhu Yijun entered the military camp, and the soldiers supported him from the bottom of their hearts.
Zhu Yijun and Qi Jiguang talked about the Northeast War. The Daning Guards and the Tuman Khans fought against each other for more than 20 rounds in a small area, with each winning or losing. However, the Ming Dynasty relied on the advantage of the camp to completely defeat them. The Tuman Khan's attempt to capture the Daning Guard was overthrown.
Wang Rulong is not Tang Kekuan. Wang Rulong is a direct descendant of Qi Jiguang. He obeys the general's orders and does not take the initiative to go out to fight in the forts. Qinglong Fort, Xingshu Fort, and Taotushan Fort are the horns of each other. Tuman Khan has no artillery. Under such circumstances, it would be a foolish dream to capture it.
The fifth battalion of Khalkha also suffered a blow in front of Li Chengliang. Li Chengliang used his troops very strangely. If the Khalkha Ten Thousand Households hadn't run so fast, Li Chengliang would have almost had his butt removed. When turning Hai's strategy into action, he fell off his horse and broke an arm. In a short period of time, he was unable to form an effective offensive against Zhangwu.
"Subanghai is very desperate, because even if the Zhangwu garrison is defeated, there are earthen forts everywhere from Zhangwu to Pinglu Fort. They must be destroyed, otherwise they will invade Liaodong and there will be no way to go. No reply. "Zhu Yijun's military talent is zero, but he also knows that if he dares to interfere with Hai, he will only die.
Once you rush into Hai, it's like infantry entering a minefield. Nowhere in all directions is safe.
Hou Yuzhao's farming in Liaodong caused great trouble to his direct opponent Su Banghai.
"I am more worried about the reconciliation between the left and right wings." Qi Jiguang said worriedly: "Although Sanniangzi seems to be respectful, she has been seeking reconciliation between the left and right wings. Last time she went from Qinglongbao The Tuman Khan held a large tent with a golden roof and discussed the matter. "
For politicians, gender is secondary, and political identity is crucial.
"Qi Shuai's worries are also my worries. Qi Shuai is too capable of fighting. I thought Beilu was weak, but Tang Kekuan's death has indeed clearly told me that even Dong Fox, who was fooled around by Qi Shuai, I can kill Tang Kekuan." Zhu Yijun is also worried about this issue.
"You have to stick your nose out so that the left and right wings cannot reconcile. Let me think for a moment, eh, I have it!" Zhu Yijun raised his eyebrows with his left fist and right palm and said: "Let Wang Rulong take advantage of it before winter comes. Once the right-wing wool was collected, Tuman Khan’s envoy was so merciful that he bought it at a price lower than one-third of the left-wing price.” , the suffering is uneven."
Qi Jiguang felt a chill in his spine when he heard that, and looked at His Majesty blankly. Your Majesty may not know how to fight, but his ability to fight fire is first-class. His eyes are bright. Turn, it’s just an idea.
It’s okay if you don’t collect the wool. In the end, it will be purchased at a reduced price based on the left wing price.
Tuman Khan's right wing was originally not qualified to participate in the wool business. If he couldn't eat, he wouldn't be jealous. But if he did eat, but he ate less than others, he would immediately become jealous.
And Anda Khan’s left wing was originally a separate business, but a piece of it was poached by Tuman Khan at a low price. What would Anda Khan think? He was ready to kill Tuman Khan.
"Being your Majesty's enemy is really a sad thing." Qi Jiguang said sincerely. His Majesty's ability to use the power in his hands correctly is what Qi Jiguang is most gratified about. He can He provided an invincible army for His Majesty's use, but since His Majesty didn't use it, there was nothing he could do.
"Then Qi Shuai still has to win, so I can torment them like this." Zhu Yijun said with a bright smile.
Military victory brings more initiative. This is an indisputable fact. All of this is based on winning. If you cannot win, no matter how many tricks you use, it will be useless. superior.
The backs of Zhu Yijun and Qi Jiguang were stretched very long by the setting sun.
After Zhu Yijun returned to Beijing, the first thing he did was to read today's miscellaneous newspapers. The Jin miscellaneous newspapers comprehensively sorted out the various technological innovations of the woolen official factory and studied the craftsmen. The spirit was praised, and many inconspicuous small techniques saved a lot of costs, manpower and material resources. The Jin Party showed their respect for the craftsmen.
The main content reported by the Quanchu Miscellaneous News was the serialization of Qi Jiguang's Eastern Expedition and the nonsense about Ping Japanese, which made Zhang Juzheng very, very angry. The Ming Dynasty only had such an army. He would rather starve himself than He will reach out to the people's rice vat, and "Eastern Expedition" is a series of practical reports. It serializes all the achievements of Qi Jiguang from military training to the pacification of Japan, and focuses on the comparison of people's lives before and after the pacification of Japan.
Zhejiang miscellaneous newspapers published some progress of Qingzhang, as well as Song Yiwang's flood control in Nanya.
In addition to the three major party periodicals, many miscellaneous newspapers have sprung up like mushrooms after a spring rain. For example, the Minbao likes to report on various matters closely related to the people and has become the most popular newspaper outside the party periodicals. , this civilian newspaper was organized by Geng Dingxiang in Beijing. It mainly talked about eating, drinking and having fun, such as Zhu Zaiyu's Twelve Rhymes, various novel musical instruments, and some ways to eat kelp.
The Jieyuan Institute’s research on large neck disease was also published in the People’s Daily.
The miscellaneous newspaper that Zhu Yijun dislikes the most is the Fushe Newspaper founded by Sun Jigao and other retro Confucian scholars. It is all about retroism, and also likes the yin and yang of the government. Chen Youren's bones are not cold, and Sun Jigao does not dare to talk nonsense. Nonsense, but still advocating retro.
Zhu Yijun sneered and said: "This Sun Jigao, who is scolded by children every day, can't stop talking, still writes newspapers, and sells very well. You see, after a while, he can't even pay the rent!" ”
Newspapers that cannot be sold will naturally be eliminated. Sun Jigao’s Social Newspaper has a large market, but no one will listen to those old-fashioned things after they have been talked about for a long time.
"The Ministry of Rites has reported that the special envoy of Franz Ligasi wants to start a Thai-Spanish newspaper to publish some interesting overseas stories. Please report to Your Majesty." Zhang Hong took out a memorial, and Ligasi also wanted to join in. The excitement of running a miscellaneous newspaper introduces overseas affairs.
After Zhu Yijun took the memorial and read it, Zhu approved the memorial. He approved Ligas' request, but specifically issued a chapter to the Ministry of Rites not to allow Ligasi to preach. If he found out, he would immediately ban it.
It is absolutely impossible to allow preaching. Most of the Dalongxing Temple was taken away to build the Royal Gemological Garden.
"Has Antonio left?" Zhu Yijun asked the captain's whereabouts. He was an investor, so he naturally had to pay attention to the progress of the project.
"I borrowed 500,000 yuan and left the capital. I went to Tianjin and took a hydrofoil sailing boat to Songjiang Prefecture, ready to return to the West." Zhang Hong took out a memo and found Legas' entry. , reporting Antonio’s whereabouts.
Antonio bought a total of four boats, bought firearms for two boats, bought some gunpowder, and hired a group of sailors and boatmen from the Ming Dynasty. This group of sailors and boatmen were for a period of five years. It is up to the master and sailors to decide whether to terminate the contract, renew the contract, or change ships.
The ships of the Ming Dynasty can carry bows, armor, knives, artillery and muskets, but they are not allowed to bow and fill the gun when entering the port. This can only be done after coastal defense inspection and supervision. And Zhu Yijun gave Antonio the treatment of the ships of the Ming Dynasty. After all, Antonio came to court as a professed vassal.
Antonio’s profits were all used to buy ships, and he also owed a lot of debt.
Daming makes money, Daming spends money, and one wants to take it home.
Please give me a monthly ticket, wow! ! ! ! ! ! !
(End of this chapter)