Chapter 32                                                                                                                             �

"It's finally done." Zhou Mengchen breathed a sigh of relief.

Zhou Mengchen thought about it over and over again, based on the principle of practicality, ease of understanding, and not too simple. He gave up writing a part of the mathematics book that started from scratch.

Practicality is a habit of ancient mathematics and even Chinese people. As long as something is useful to people, it will be accepted quickly, but if it is useless, it will be left to the shelves. It is a fact that ancient people are short-sighted, but this is a fact. Chinese people even pray for gods and Buddhas, let alone mathematics.

If Zhou Mengchen's mathematics could not solve practical problems, it would not have much influence.

Easy and Understand, this is what Zhou Mengchen asked for himself. He did not want to publish a monograph to show off his own knowledge. Instead, he wanted to spread more about his knowledge brought from later generations.

As for not being too simple, this is the same.

Nothing else, as mentioned in the previous article.

The high level of mathematics in ancient China can be said that most modern people may not be able to discuss mathematics with ancient mathematicians.

Later generations thought that Chinese mathematics was good, especially basic mathematics, which was the reason for China's education system, but this was only one of the reasons. It was because since ancient times, Chinese mathematics has always been very good, especially in solving real problems. In terms of horizontal comparison, no matter when, foreigners may not be better than the Chinese at that time.

Zhou Mengchen gave Cheng Dayi a test paper, and felt that Cheng Dayi's math level had reached the standards of junior high school students in later generations, and he did not need to start from the most basic test.

However, Zhou Mengchen also discovered an important flaw in Cheng Dawei.

That is, geometric is not very good.

This is also a small problem in Chinese mathematics.

It is not that there was no geometry in ancient China. It is because ancient Chinese mathematics did not value orientation and angle, but they valued calculations. In ancient mathematics, there was no concept of angle. In astronomy, although there were angles, the angle was not 360 degrees. Astronomers had different algorithms, but they all had the same fraction, which was 365 and 1-quarter, and other numbers.

These are more about calculating the trajectory of celestial bodies.

This concept is not extended to other aspects.

And there is another reason, that is, the inheritance of books is not easy.

Take the simplest example as an example. Liu Hui’s annotated version of "Nine Chapters of Arithmetic" has a picture. Liu Hui used many pictures to explain some mathematical problems, but there was no picture in the version of Nine Chapters of arithmetic that was passed down in later generations. Even if there were pictures, it was later generations who made up for it according to Liu Hui's words. I don’t know whether it was Liu Hui’s original intention.

This is a common phenomenon. First, there is no common way to draw pictures, and every mathematician has his own ideas. Moreover, pictures are more difficult to preserve and copy than words.

This also led to ancient mathematicians preferring to express themselves in words.

Based on the above, Zhou Mengchen chose an entry point, which is the geometric aspect.

Although "The Origin of Geometry" is famous, Zhou Mengchen has never watched it.

After all, the knowledge in "The Original Geometry" has been broken down into textbooks. For most people who have been compulsory education for nine years, there is basically no need to read it. Even if they have the mentality of learning mathematical knowledge, they can read some other mathematical books instead of this one.

However, Zhou Mengchen had heard of the style of "The Original Geometry".

Therefore, he introduced a large number of theorems and formulas according to the "Original Geometry". He also fixed a complete drawing method and asked the carpenters of Yangjiyuan to create a batch of compass, rulers, triangle plates, protractors and other drawing tools. They were also red sandalwood, all of which were leftovers of bells.

He did not make much extension, and Zhou Mengchen wrote a part of the trigonometric function with great color.

Nothing else, as part of ancient Chinese mathematics, Pythagorean theorem was highly valued, and this is also to attract more people's attention and understanding.

With the idea, Zhou Mengchen also put in a lot of effort.

After all, this is not a problem solving. It only takes a solution to the problem. Although Zhou Mengchen knows that there is absolutely no problem with what he wrote, it may not be without logical loopholes or disconnection. After all, this is the most basic knowledge in later generations, and is often used directly. Some logical derivation processes are directly omitted. Now Zhou Mengchen needs to sort out carefully and decide that there is no loophole.

Finally, it was named "Pythagorean Examination".

After Zhou Mengchen finished writing, after washing up, he sorted out his clothes, and took this book to meet Feng Li.

Feng Li was like a teacher who was optimistic about students and was really a nephew. Zhou Mengchen didn't have to report to come to Feng's family. Instead, he went in directly.

"Why are you here?" Feng Li's family was not just Uncle Zhang, but Li Ziwen was there, but also some other students, in terms of clothing, were either scholars or juren. You should know that Feng Li was also known as a professor of the prefecture.

At this moment, these students were talking about the Four Books and Five Classics at Feng Li’s home, which is the Eight-Legend Essay.

Although Feng Li prefers mathematics, Confucianism is the basis for his establishment.

Zhou Mengchen and these people greeted each other. Some of them met Zhou Mengchen for the first time, but they had also heard of it and looked at Zhou Mengchen with curious eyes.

After the ceremony, Zhou Mengchen presented his manuscript to Feng Li with both hands and said, "My nephew has gained something in his studies, so please ask Feng Shishu to correct me."

Feng Li was curious when he heard this and said, "Oh, I want to see, what did you have created after you have been in seclusion for so many days?" Then Feng Li took it and took a look. He stopped just by opening the first page, and hurriedly looked at the first three pages, and stopped looking back, but flipped around the first three pages.

It seems that these three pages contain infinite treasures.

right.

For some people, these are things that are so boring that people can sleep, but for some people, they are nothing more than deafening sounds.

For a moment, Feng Li forgot about the people in front of him, only three pages of paper, about one thousand words.

Feng Li has read it many times.

For a moment, Feng Li had only one voice in his heart: "So, this is possible?"

These three pages describe the axiomatic system.

It is also the reason why "The Origin of Geometry" has such a high historical status.

There are also many reasoning and deductions in ancient Chinese mathematics. Liu Hui, the most important mathematician in ancient China, said that learning mathematics requires not only to be able to calculate, but also to be able to "analyze and discern." However, this analysis and discernment is more about solving a certain problem or a certain type of problem. It has never been analyzed from this perspective.

In an instant, Feng Li felt that he was different from other things, and thus thought of many other things.

I was fascinated for a moment.

The bell ringing of "dong," made Feng Li wake up. When he looked up, he saw that the students around him and Zhou Mengchen were looking at him eagerly.

Feng Li said: "Let's stay with me. Let's talk about it after I finish reading it."

When Zhou Mengchen heard this, he whispered: "Uncle Feng Shi, my nephew has not had time to copy it."

Feng Li said: "I understand, I won't give it to you."

Uncle Zhang said, "Mr. Feng, when will we have a look?"

Feng Li looked at a stack of manuscripts and said, "Let me read it for three days. You can stay and read it together and help me copy the books. After three days, we will go and ask Feixiong together."

Uncle Zhang said, "Thank you, sir." He pulled it on the three manuscript papers that Feng Li had looked over and over again and again.

Feng Li pinched it tightly, thinking about it, he didn't even look at it, so he let it go and said, "Go and copy it for me."

Uncle Zhang said, "Student understand." While saying that, he sat on a desk and placed the manuscript paper on the table, while looking at it, preparing to grind ink. However, he just pinched the ink strip with one hand, but was stunned.

Uncle Zhang only glanced at a few lines and found that this book of math is different from all the ancient math he had read before. It was not even related to inheritance, and it almost jumped out of the stone. It was not the same idea at all. Uncle Zhang thought flashed through his mind and said to himself: "Is there really a born knowing this in the world?"

Several students leaned against Uncle Zhang and watched. They were also stunned for a moment.

The so-called feathers of birds gather together.

Feng Li loved math so much. Even though the people around him were not obsessed with math, they definitely did not know anything about math. Moreover, overall, although the eight-legged essay imprisoned people's thoughts, the scholars in the Ming Dynasty were not all nerds. At a glance, they naturally saw the extraordinary.

In this way, these people are addicted to Zhou Mengchen's "Pythagorean Explanation", but leave Zhou Mengchen aside.

Although Li Ziwen wanted to see him, he had a noble status and a bit arrogant. He didn't want to push forward. In his opinion, he couldn't run away anyway, but it was just a matter of time. He also saw Zhou Mengchen's embarrassment and said, "Brother Zhou, go back first. Mr. Feng will not find that Brother Zhou is still here for a while. And it seems that in three days, we all will visit Brother Zhou. Brother Zhou may also have to prepare."

Reading math books is not other books.

People who understand naturally have endless fun, and people who can't understand naturally can't read a single word. Since Feng Li is addicted to it, he will not come back for a while.

Zhou Mengchen's heart moved, it was indeed the case.

The Zhou family's yard is not small and can accommodate these people, but the population is simple and there are no servants. The last time Feng Li came was very simple, but this time it could not be like this. Zhou Mengchen thought for a while and said, "Please tell Uncle Feng Shi, the home is small and cannot be served. I am waiting for Uncle Shi to come in the Yangjiyuan."

Li Ziwen said: "I will definitely tell you."

Zhou Mengchen left, but after he came out, he found that it was only a dozen minutes before and after. It seemed like he was kicked out. However, the atmosphere inside made Zhou Mengchen like it very much, just like when he was in school.
Chapter completed!