Royal Road

With a slap, the wooden door was pushed open, and a thirteen-four-year-old young man dragged a long grass rake into the room. Carefully put the grass rake in the corner of the wall, and took off the coat that was clean with dirt and grass clippings. He ran to the case and drank a few sips of water from the clay pot. These are all the hot water that A-niang made in the morning, but it was already cold after the end of the day. He didn't dare to drink more. After quenching his thirst, he put down the jar, picked up the clean short jacket on the couch, and put it on.

After dressing carefully and neatly, he smoothed the cloth with his hands. He took a burlap from the case and made a cloth bag, took a deep breath, and strode out to the door.

"Huh? Isn't this Aping? Going to school?"

"Aping, don't delay if it doesn't work, you have to make your way into the song."

"That's right, don't let down your dad's military merits!"

Along the way, many familiar farmers saw him and couldn’t help but give some comfort. The young man nodded his head, but did not stop. He ran all the way to the door of the mansion. After being carefully checked by the guard, he entered. Courtyard gate.

The lord’s house, no matter how many times he came, made people unable to adapt. It's so gorgeous, it's not a place where people like him can come. A Ping did not dare to look privately, and walked towards the courtyard on the west side of the outer courtyard. There was the courtyard where Zhou Kan lived by the accountant. Now in addition to office work, there is also a secluded school that specializes in teaching mathematics to the children of Zhuanghu.

His family is Yihu in the village. His father participated in the trilogy before and died in the battle a few months ago. The ten acres of military land allocated to the family was completely exempted from taxes, so Aniang retired the original 20 acres of land, relying on farming the ten acres of military land and 20 acres of mulberry field to feed the two. If you help A-niang first and join the army a few years later, the family will not worry about food and clothing. But now he went to the school to learn math.

It takes at least one hour a day to stay in the school, and you have to complete the exercises assigned by the master after returning home. Both of these will consume a lot of time, and naturally there will be less time to help A-niang. What he learned was the knowledge of mathematics, and many neighbors felt that he was wasting his time here, just idiotic dreams.

However, Aping could not give up! He never knew that there is such an interesting thing in the world! The numbers and formulas taught in the school were so refreshing for him, as if a door was suddenly opened and he saw the truth of the world. This is not something you can find by staring down at the field.

What's more, Master Zhou said that if you can complete your studies, you can work in the counter. All the necessary expenses are taken care of by the Fuzhong. Maybe you can be a ledger like Master in the future and receive monthly allowances!

With an extremely pious heart, Aping walked into the school and did a good job in his corner. Carefully took out a stack of paper-bound notebooks and a charcoal pen wrapped in cloth strips from the linen bag. This is issued in the school. You can use the sand table for the exercises, but you need to use paper for the notes and the answers to the exercises. One book for each person, with positive records and negative questions, which can be used for one month. If the problem-solving error rate in January is too high, I am afraid I will be expelled from the school.

Turning over the book, Aping carefully checked it again, and he was relieved to confirm that it was correct. At this time, another schoolchildren entered the school one after another, including him, a total of twelve people. This was left after several screenings. No one dared to make noise. They all sat obediently in their seats, waiting for Master to give a lecture.

"This vertical!" Zhou Kan was flushed with anger at the moment.

He kindly recommended Li Xin to come to Liang Mansion, and he also visited the two specifically based on the friendship between the teachers and the door in the past. Unexpectedly, after several trips, his heart, liver and lungs were aching with anger. Li Xin's boy was a silly bastard. Not only did he not regard himself as a fellow, but he mocked his work of accounting with contempt, saying that he was capable of counting, and he was worthy of counting.

It's no wonder that this **** was in another division at the beginning, and the brothers in the family didn't care about it either. To have this kind of thing by your side is simply life-saving!

Angrily walked into the academy and saw the eager gazes of the young people below, Zhou Kan's anger fell slightly, and he coughed: "Put all the books on the case!"

No one dared to neglect, everyone hurriedly put the book on the book case. This book case was just played out. It was only three feet wide and just enough to lower the arm. There was a sand table beside the case. Although crude, it was extremely practical. Zhou Kan saw that the apprentices had put their notebooks in place, and then checked them one by one with their hands behind their back.

The numbers written on the paper are not bargaining chips, but weird Tianzhu numbers. From 1 to 9, check the chips one by one, and there is a 0 for carry. This was given to him by the host before, and there are also vertical calculations of addition, subtraction, multiplication and division. Even Zhou Kan had to say that these things were much simpler than using maths. If it’s a counting chip, it’s not clear how to put it when it comes to dull, but the vertical form and the number are simple and clear, and it can be compared and checked and it is not easy to make mistakes.

There is also the original Jiujiu Song, the lord of the lang also ordered from 36 sentences to 81 sentences, write one against the Tianzhu numbers, and paste it on the wall for people to recite and learn. It can be said that those who can stay here have 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 the two brothers Li Xin are also recruiting people to teach, and they are still teaching the method of heavy duty. Humph, he wants to see what kind of things Li Xin's dog temper can surrender.

Checked it from beginning to end, nodded in satisfaction, Zhou Kan returned to the podium, opened the book and said: "From today I will start to learn the chapter on'chestnuts'. This is the exchange of grains and grains. It is extremely If you can’t learn important subjects, go home and farm."

Seeing the apprentices below with their eager gazes, Zhou Kan nodded slightly and began to lecture.

※

"Zile, it's time to teach those apprentices." Liu Jian called, but no one answered. As a last resort, he had to push the doorway. I saw discarded paper all over the house, the black painted board was covered with white lines, and there were strings of Tianzhu numbers. Li Xin was sitting in front of the book table, struggling to write, as if he hadn't heard him at all.

After taking the first two steps, Liu Jian said again: "Zile, the hour is here, you should go out to teach."

"Don't go or go! A bunch of idiots!" Li Xin didn't lift her head, still focusing on calculating what, the paper in front of him was already drawn by charcoal, and it couldn't be seen as it was.

"This is what we promised to the lord!" Liu Jian was helpless to the extreme.

He has also been with Li Xin for several years, so he naturally understands this person's temperament better than others. Although his name is Junior Brother, Li Xin is actually a few years older than him. Since he came into the house, he has been annoying. He has neither wink nor scheming, and can offend people when he speaks. He is extremely talented in number calculation, and his grandfather's lifelong learning, and even the sorting of manuscripts, may fall on him.

He also had high hopes for him, and he wanted to pass on his grandfather's commentary, so Liu Jiancai helped him leave Qingzhou with the manuscript, and traveled all the way to Liang Mansion. However, he finally settled down, and his stinking problem recurred. The Tianzhu numbers and vertical styles taught by the host were too easy to use, making this person fascinated in an instant. By the way, there is also the trigonometric function, not to mention Li Xin, even he is a little obsessed with it.

But what should be done is always done! If an assistant can't teach, how to explain to the host?

"The stupid who just memorized the Nine-Nine Form, what use do I teach?" Li Xin quickly wrote a number on the paper, then turned out several sheets of paper underneath, and suddenly raised her head and said, "Brother, look at me. I figured out another one!"

Looking at the person’s shining eyes, Liu Jian sighed: “Never mind, I’ll teach those people. But you can’t just indulge in functions. The manuscript should be edited as soon as possible and sent to the bookstore for publication. Take my grandfather's commentary as the original!"

"Do you still use it?" Li Xin waved his hand in disgust, and went to check the calculations again.

Unable to laugh or cry, Liu Jian shook his head and went out. Alas, the waterwheel sent by Mufang yesterday, I'm afraid I will watch it again after class, but if Zile can calculate a few more function values, maybe it can be calculated faster. Striding towards the study to the side, Liu Jian didn't notice, a little smile appeared on his face.

※

Looking at the paper that had just been printed in his hand, with a little ink smell, Liang Feng nodded with satisfaction. This is the "Fang Tian" chapter first compiled by 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 method of noting and proofreading makes "Nine Chapters Arithmetic" one of the classic textbooks for later generations.

And such a version, perhaps only engraved printing, can fully demonstrate its essence. If it is handwritten, people who do not know how to calculate are likely to make mistakes and omissions, and they will not be able to intuitively express the meaning of the question.

The progress of book finishing is good, and Liang Feng is extremely satisfied with the progress on functions. A few days ago, he consciously revealed some concepts of trigonometric functions to Li Xin and the two of them. As a result, they showed amazing comprehension ability, which is worthy of being Liu Hui's successor.

This is also what Liang Feng expects most.

Although there were many mathematics books and great mathematicians in ancient China, few formula theorems were formed. Although there are reasons for the prohibition of astronomy, there are probably also problems caused by the habit of teaching materials. Just like in the nine chapters, there are "shu", that is, the steps to solve the problem, but there is no step to prove this process. The lack of inductive expression naturally makes mathematics a top-notch knowledge that only a few people can touch.

And Liu Hui is one of the people who broke this inertia. He was the first to prove the formula for the area of ​​a circle, “multiply the radius by one side, and cut it out. Each round is multiplied by itself. Therefore, multiplying the radius by the circumference is the power of the circle.” It is precisely because of this that he proved that the previous “Wednesday Diameter One” is not the same. Accurate, the pi is accurate to 3.14. And the circle cutting technique is the theory and algorithm of calculating pi. This achievement alone is quite amazing.

If all the contents of the mathematics category are brought into this field of inference and argumentation, then the development of this subject will inevitably embark on a different path. Liang Feng remembers many formulas, but he is not a professional after all, and many of the argumentation processes have not been remembered clearly. If he teaches them all at once to people of this age, he will only be encouraged by the seedlings. Perfecting this process of derivation and conclusion is the real thing. Anyway, those more advanced mathematics may not be available now. Step by step, maybe some amazing fruits can be produced.

It seems that there will be a system for entering a higher school in the future. If there are good seedlings on Zhou Kan's side, they can also be sent directly to Liu Jian's side, and those who are not even solid in basic skills should let Zhou Kan bring them first. It's a pity that there are too few talents at his disposal. It might be more beneficial to find Li Xin a few peers who can communicate with each other at the same level.

It seems that Zu Chongzhi was born before the Tang Dynasty. When was he born? He only remembered that there was a big cow like Zuti in this era. Could it be a family?

Just in the dream of recruiting a few more mathematics geniuses, someone outside the door told me that Wang Wen's messenger arrived.

Wang Wen is one of his biggest support now, Liang Feng will naturally not neglect, and immediately recruit people to come in. However, when he opened the letter and read the contents clearly, he couldn't help but raise his brows: "Go to Jinyang to participate in the Shangsi Festival?"

Shangsi can be said to be the most solemn spring festival, and it is not surprising to invite him there. But Wang Wen's meaning was quite clear, he wanted to repair the relationship between him and Dongying Gong and resolve misunderstandings. Liang Feng is really not interested in the idiot of the Sima family. However, after thinking about it for a moment, he nodded and said, "How dare you not go when Zhongzheng is invited? When I reply, please pass it on to him."

Whether he can please Sima Teng is not important, what is important is to show his face on this occasion. Those two conquests can't be wasted, they are just used to improve fame. With a reputation, it is much easier to do other things.

The author has something to say: Arabic numerals were actually originally transmitted from India. Anyway, Liang Shao opened the Buddha's book, so it is not wrong to say that. In ancient China, in addition to the number system used for writing such as one, two and three, there were also arithmetic numbers, which is the mathematical symbol used for calculations like the figure below. Therefore, it should not be a problem to learn Arabic numerals.

As for Zu Chongzhi, he was from the Northern and Southern Dynasties, but one thing is true. Zu Ti should be his great-grandfather, Zutaizhi’s clan brother.