With a snap, the wooden door was pushed open, and a young man of thirteen or fourteen years old walked into the room with a long grass rake. He carefully placed the grass rake in the corner, took off his coat, which was full of dirt and grass clippings, and ran to the front of the office to take a few sips of water from the clay pot. These are the hot water that my mother boiled in the morning, but after the day has passed, it has been cooled down long ago. He didn't dare to drink too much. After quenching his thirst, he put down the jar, picked up the clean short jacket on the couch, and put it on.
After carefully dressed and neatly dressed, he smoothed the fabric with his hands. He picked up a burlap bag from the case, took a deep breath, and strode out of the door.
"Huh? Isn't this A Ping? Are you going to school?"
"A Ping, if you can't do it, don't delay, you have to think about it and enter the part."
"That's right, don't let down your father's military exploits!"
Along the way, many familiar farmers saw him, and couldn't help but comfort him. The boy nodded cautiously, but he didn't stop. He trotted all the way to the gate of the mansion, and the guard checked carefully before entering. courtyard gate.
No matter how many times you come to the master's house, people can't get used to it. It's so gorgeous, it's not like a place where someone like him can come. A Ping did not dare to look in private, so he buried his head in the west side courtyard of the outer courtyard. There was the courtyard where the accountant Zhou Kan lived. Now, in addition to the office, there is also a separate school as a school, which specializes in teaching mathematics to the children of Zhuang Hu.
His family is a householder in the village. His father participated in the trilogy before and died in battle a few months ago. The ten acres of military fields that the family had been allocated were completely exempted, so my mother returned the original ten acres of land, and supported the two by cultivating the ten acres of military fields and twenty acres of mulberry fields. If I help my mother to work first, and join the army a few years later, the family will not have to worry about food and clothing. But now he went to the school to learn math.
It takes at least an hour a day in the school, and after returning home, I have to complete the exercises assigned by the master. These two things will take a lot of time, and naturally there will be less time to help my mother to work. He also learned something like math, and many neighbors felt that he was wasting his time here and was just talking nonsense.
However, Aping couldn't give up! He never knew that there were such interesting things in the world! The numbers and formulas taught in the school made him feel new and fresh, like a door suddenly opened and he saw the truth of the world. This is not something you can find by looking down at the fields.
What's more, Master Zhou said that if he can complete his studies, he can work in the accounting office. Fuzhong is responsible for all the expenses, and maybe in the future, I will be able to work as an accountant like Master and receive monthly stipends!
With a very pious heart, Aping walked into the school and did a good job in his own corner. Carefully, he took out a stack of paper-bound notebooks and a charcoal pencil wrapped in cloth from the burlap bag. This is issued in the school. You can use the sand table for the exercises, but you need to use paper for notes and exercises answers. One copy per person, with positive records and negative answers, can be used for one month. If the error rate of solving problems in January is too high, I am afraid that I will be expelled from the school.
Opening the book, Ping carefully checked it again, and he was relieved after confirming that it was correct. At this time, another schoolchildren entered the school one after another, and there were twelve people including him. This was left after several screenings. No one dared to make a fuss. They all sat obediently in their seats and waited for Master to take the stage to preach.
"This Shuzi!" Zhou Kan's face was flushed with anger at this moment.
He kindly recommended Li Xin to come to Liang Mansion, and he also visited the two of them specially because of the friendship between the teachers in the past. Unexpectedly, after several trips, his heart, liver and lungs ached from anger. That kid Li Xin was a complete asshole. Not only did he not regard himself as a classmate, but he also mocked his account management job with contempt, saying that he was good enough to be counted.
It's no wonder that the elder brothers in the family didn't take it seriously. Having something like this by your side is a life-saver!
Angrily he walked into the academy and saw the eager eyes of the teenagers below, Zhou Kan's anger subsided a little, and he coughed: "Put all the notebooks on the case!"
No one dared to neglect, and everyone quickly put the book on the bookcase. This book case was just made. It was only three feet wide, just enough to put down the arm. There was a sand table next to the case. Although it was crude, it was extremely practical. Zhou Kan saw that the apprentices had put away their notebooks before checking them one by one with their hands behind their backs.
The numbers written on the paper are not counting chips, but strange numbers. From 1 to 9, compare the chips one by one, and there is a 0 for carry. This was given to him by the master before, and there are also vertical operations of addition, subtraction, multiplication and division. Even Zhou Kan had to say that these things are much simpler than calculating. If you are doing calculations, you can't know how to place them when you are stupid, but the vertical and numbers are simple and clear, and you can check them against each other, so it's not easy to make mistakes.
There is also the original ninety-nine songs. The master also instructed to change from thirty-six sentences to eighty-one sentences, write one sheet according to Tianzhu numbers, and stick it on the wall for people to recite and study. It can be said that those who can stay here are those with good memory, are quite diligent, and have some talent for logarithmic calculation, otherwise Zhou Kan would not spend time on them.
Now I heard that Li Xin's two brothers are also recruiting people to teach, and they are still teaching the method of heavy difference. Hmph, he would like to see what kind of things Li Xin's temperament can hand over.
After checking it from the beginning to the end, he nodded with satisfaction, Zhou Kan returned to the podium, opened the book and said, "From today onwards, we will start to study the chapter of 'Corn Rice', this is the exchange of grains, it is extremely If you can't learn important subjects, then go home and farm."
Looking at the focused and eager eyes of the apprentices below, Zhou Kan nodded slightly and started to teach.
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"Zile, it's time to teach those apprentices." Liu Jian called out, but no one answered. He had no choice but to push into the door. I saw that the house was full of discarded paper, the black lacquer board was covered with white lines, and there were strings of Tianzhu numbers. Li Xin was sitting in front of the book desk, writing something in a hurry, as if he didn't hear him at all.
Taking the first two steps, Liu Jian said again: "Zile, the time has come, you should go out to teach."
"Don't go, don't go! A bunch of idiots!" Li Xin didn't lift her head, she was still concentrating on what to do, the paper in front of her was already painted with charcoal strips and could not be seen.
"This is what we promised the master!" Liu Jian was helpless to the extreme.
He has been with Li Xin for several years, and naturally he understands this person's temperament better than others. Although he is called Junior Brother, Li Xin is actually a few years older than him. He has been disgusting since he entered the house. He has neither wink nor scheming, and can offend people as soon as he opens his mouth. By the way, he was extremely talented in arithmetic, and his grandfather's lifelong knowledge, and even the arrangement of manuscripts, would probably fall on him.
He also had high hopes for it, and wanted to pass on his grandfather's commentaries to the world. Liu Jiancai helped him leave Qingzhou with the manuscript and traveled thousands of miles to Liangfu. However, after finally settling down, his stinky problem flared up again. It is also because the Tianzhu numbers and vertical styles taught by the master are so easy to use that this person is instantly fascinated. By the way, there is also the trigonometric function, not to mention Li Xin, even he is a little addicted to it.
But you have to do what you have to do! If an assistant can't teach, how to explain to the master
"The idiot who just learned the ninety-nine table, what's the use of my teaching?" Li Xin quickly wrote a numerical value on the paper, and then flipped out several sheets of paper pressed underneath, suddenly raised his head and said, "Senior brother, look at me. One more count!"
Looking at the man's shining eyes, Liu Jian sighed: "Well, I'll teach those people. But you can't just indulge in functions. The manuscript should be revised as soon as possible and sent to the bookstore for printing. This is the textbook in the future, and it must be Take Grandfather's commentary as the original!"
"It's up to you to say that?" Li Xin waved his hand in disgust, and went back to checking.
Not knowing whether to laugh or cry, Liu Jian shook his head and walked out the door. Alas, the waterwheel sent by Mufang yesterday, I'm afraid I'll have to read it after class, but if Zi Le can calculate a few more function values, maybe the calculation can be faster. He strode to the study next to him, but Liu Jian didn't notice it, and a smile appeared on his face.
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Looking at the paper that had just been printed out in his hand and still had a slight ink smell, Liang Feng nodded in satisfaction. This is the first chapter of "Fang Tian" in Liu Hui's "Nine Chapters of Arithmetic" manuscript. There are not only questions, answers, and techniques, but also analysis and legends. This is also the concept advocated by Liu Hui, "analyze reason with words, disintegrate with pictures". Such a rigorous and sophisticated way of notation has made "Nine Chapters of Arithmetic" one of the classic textbooks of later generations.
And such a version, I am afraid that only engraving printing, can fully display the essence of it. If it is copied by hand, people who do not understand math are likely to make mistakes and omissions, and they will not be able to intuitively express the meaning of the question.
The progress of the book finishing is good, and Liang Feng is extremely satisfied with the progress on functions. A few days ago, he consciously revealed the concept of trigonometric functions to Li Xin and the two of them, and the understanding ability they showed was simply admirable, worthy of being the direct descendant of Liu Hui.
This is also what Liang Feng expects most.
Although there were many mathematical works and great mathematicians in ancient China, few formula theorems were formed. Although there are reasons for the prohibition of astronomy, I am afraid there are also problems caused by the habit of teaching materials. Just like in the nine chapters, there are "skills", that is, the steps to solve the problem, but there are no steps to prove this process. The lack of inductive expressions naturally makes mathematics a top-notch subject that only a few people can reach.
And Liu Hui is one of the few people who broke this inertia. He took the lead in proving the formula for the area of a circle, "Multiply one side by the radius, cut it out, and multiply it by itself. Therefore, multiply the circle by the radius to form the power of the circle." That's why he proved the inconsistency of the previous "Wednesday diameter and one". Accurate, the pi is accurate to 3.14. The circumcision technique is the theory and algorithm of pi calculation, and this achievement alone is quite amazing.
If all the contents of the mathematical category are brought into this field of inference and argumentation, then the development of this discipline will inevitably take a different path. Liang Feng remembered a lot of formulas, but he was not a professional after all, and he could not remember many of the argumentation processes. Perfecting this process of derivation and conclusion is the real thing. Anyway, those more advanced mathematics may not be available now. Take it step by step, and maybe you can still bear some surprising fruits.
It seems that there will also be a system for further studies. If there are good seedlings from Zhou Kan, they can also send them directly to Liu Jian. For those who are not even strong in basic skills, let Zhou Kan lead them first. It's a pity that he has too few talents on hand. If he finds a few companions of the same level for Li Xin who can communicate with each other, it may be more beneficial.
Zu Chongzhi seems to be from before the Tang Dynasty. When was he born? He only remembered that there was a big bull named Zu Ti in this era. Could it be from a family
While dreaming of recruiting a few more math geniuses, there was a message from outside the door that Wang Wen's messenger arrived.
Wang Wen is one of his biggest reliances now, so Liang Feng will naturally not be neglected, and he will recruit people immediately. However, when he opened the letter and read the contents clearly, he couldn't help raising his eyebrows: "Go to Jinyang to participate in the Shangsi Festival?"
Shangsi can be said to be the most grand festival in spring, and it is not surprising to invite him there. But Wang Wen's meaning is quite clear, he wants to repair the relationship between him and Duke Dongying and resolve the misunderstanding. Liang Feng really had no interest in the idiots of the Sima family, but after thinking for a moment, he nodded and said, "How dare you not go after being invited by Zhongzheng? Wait for my reply and pass it on to him."
It doesn't matter whether you can please Sima Teng or not, the important thing is to show your face on this occasion. Those two expeditions could not be wasted, they were just used to improve his reputation. With fame, it is much easier to do other things.
The author has something to say: Arabic numerals, in fact, were originally transmitted from India. Anyway, Liang Shao opened the Buddha's pendant, so it is not wrong to say that. In addition to the number system used for writing such as one, two and three in ancient China, there were also arithmetic numbers, which are mathematical symbols specially used for calculation as shown in the figure below. So learning Arabic numerals should not be a problem.
As for Zu Chongzhi, he was from the Northern and Southern Dynasties, but one thing is true, Zu Ti should be his great-grandfather, the clan brother of Zu Taizhi.