Chapter 5 Wang Daozhi's attack

Wang Daozhi immediately said: "The pine tree is 12 twelve feet and twelve feet and 8 inches high; the mountain is 1 mile and 28 steps, and the seventh step is 4."

Zhou Mengchen almost said together: "The pine tree is one, two, two, two, eight, and the mountain is on the surface, and the cycle steps are 328:57, one, four, and two eight."

Wang Daozhi showed joy on his face and said, "Brother Zhou, you were wrong."

Zhou Mengchen had already understood what the differences between them were. He smiled softly and said, "Dare you ask Professor Feng, who is right and who is wrong?"

Feng Li frowned and said, "Get." He then scolded Zhou Mengchen and said, "Who gave you the bad habit? You can clearly use this score to say something about it. What are some innovative things? What messy cycle steps!"

Almost when Wang Daozhi blurted out, Feng Li knew Wang Daozhi's foundation.

The key to the difference between Wang Daozhi and Zhou Mengchen lies in two points. First, Zhou Mengchen calculated a little hasty and did not convert three hundred steps into a li. In ancient times, one mile was three hundred steps, and the second was to write four-sevenths of steps into an infinite cycle decimal. Feng Li calculated silently in his mind and understood.

But Wang Daozhi didn't understand.

If the previous questions were all kingly and calculated in a blink of an eye, such powerful calculation power would not be possible to make such a mistake.

This question is based on the characteristics of the same ratio of the two sides in the triangle Pythagorean theorem, setting equations and then solving them. Of course, there was a method specially used to solve this problem in ancient times, called the technique of heavy differences, so I won't trace it back here. The calculation amount is not enough. That is, Zhou Mengchen can do this, and his thinking is clear, and almost before the sound of the yin and yang of the county lord's stuttering sound was completed, he had already figured out the question and started calculating. Finally, he even said and calculated while forgetting some details.

For example, unit conversion.

For example, the ancients didn’t like to use decimals when calculating, but preferred to use fractions.

Zhou Mengchen immediately bowed and said, "Thank you Feng Shishu for your teachings, I understand."

Wang Daozhi had heard Feng Li's reputation, and after listening to Feng Li's words, he silently calculated for a long time before he realized that the two were equal. He didn't know what to say for a moment?

"Ahem." Master Liu said: "Everyone, the two nephews are really amazing, but there is only one person in this position. If you want to choose, please give me some advice."

The county master coughed twice and was about to speak. Huang Zhubo went out and said, "County Master, my brother-in-law worked hard in the county all his life. Since his son is talented, please take care of the old man."

"Yes, please take care of the old man's heart."

When Huang Gongbo spoke, the head of the six houses beside him came out and said.

The county master's hand holding the goatee suddenly solidified.

He originally wanted to make this matter a decision with the cooperation of his master. However, he did not expect that Huang Zhubo had a good rhythm, and he could not go forward or go backward, and he immediately hit the key point. Although the county magistrate was the master of the county magistrate, he would have to offend the three yamen runners and the six house clerks together, so it would be difficult for the county magistrate to have a hard time.

Of course, officials with outstanding abilities opened the entire county government in one go. They could also save the scene. But it was definitely not the current magistrate of Jiangxia.

While the magistrate of Jiangxia was hesitating, Wang Daoyi gritted his teeth and said, "County Master, the student has a word."

The emperor of Jiangxia County said in his heart: "One hundred taels." Then he said: "Tell me."

Wang Daozhi said: "Qi Bixian, the students and Brother Zhou don't know each other. Now I know that there is heaven beyond heaven and there are people beyond man. Brother Zhou is in the way of calculating and obeying the mountains. But I have a small question. As long as Brother Zhou can answer it, I will give up. I dare not have any inappropriate thoughts. Don't know if Brother Zhou dares to agree?"

The kingly way is good.

But an unfair bet.

Wang Daozhi just said that if he couldn't ask Zhou Mengchen what he would do, but he didn't say. What would he do if Zhou Mengchen didn't explain it clearly?

If there is a county magistrate, anything can happen naturally.

The fair competition between Zhou Mengchen and Wang Daozhi evolved into Wang Daozhi as the examiner, and Zhou Mengchen as the candidate. Zhou Mengchen also knew that it was unfair. He did not say that he agreed or did not agree, but instead bowed to the county emperor and said, "It depends on the county emperor to be the master."

The county master pinched his goatee beard and pondered for a moment, thinking in his heart again: "One hundred taels." The county master did the business, and clearly marked the price. Five hundred taels did not get him this official, but it would also give him the opportunity to stand here. Such a particularly tendency sentence, one hundred taels, fair and cruel, can be called a fair and honest person.

What did not work?

Sorry, the county priest always cares how much effort he puts into, not whether he can do it.

The county master never thought that such a thing would have such great resistance.

The county master was secretly moved by his professional ethics at this moment. It was much better than those who collected money and did nothing. The county master said leisurely: "You can give it a try."

Wang Daozhi clenched his fists tightly and said in his heart: "This is the last chance." He took a deep breath and said: "I dare to ask about the pi value, of course, the senior has already said the narrative, so please deduce it again."

Feng Li was furious when he heard this. He didn't want to talk much, but after all, he offended people.

It’s just that what the kingly way says is too much.

The value of pi has always been a focus of the ancients' research. From Liu Hui and Zu Chong's father and son, they have successively studied it and reached the seven digits after the decimal point. Since then, there has been no progress. On the one hand, the calculation of pi is done by the dividing circle method, and the 3072 edge has been calculated. The calculation is getting more and more difficult.

On the other hand, ancient Chinese mathematics always had a principle, that is, the principle of pragmatism, which is to solve real problems. It is rarely mentioned specifically. In terms of mathematics classification, it is not classified according to mathematical principles, but based on certain real problems to be solved.

If you look at most ancient mathematical classics, you will find that it is like a workbook that lists problems encountered in governing the country, engineering, calculation, astronomy, water conservancy, etc. separately, and gives a solution.

The ancients discovered that even if the pi was calculated to be seven digits after the decimal point, if it really wanted to calculate, it would be enough to use 3.14.

Therefore, few people continue to study on this basis.

This is actually one of the reasons for the stagnation of ancient Chinese mathematics. After the development of ancient Chinese mathematics to the Song and Yuan dynasties, it can be said that most ordinary people can think of and come into contact with problems. There are solutions to ancient mathematics. Even some advanced problems are of no use to real problems. They are truly towards useless learning.

It seems that some modern people say, what should I do when taking mathematics in the college entrance examination? In fact, the ancients gave the answer. After the Song and Yuan dynasties, ancient mathematics entered a trough stagnation period that lasted hundreds of years, and then Western technology surpassed China.

The height of mathematical level is a harbinger of scientific level, and there is a connection between the two.

Feng Li was furious when he understood the difficulty and said, "County Master, this is too much. Everyone cannot do it. I know that today is just a small ninth-rank official who takes office. I don't know, but I thought that the assessment of the Imperial Heaven Supervision of the Ming Dynasty was going to be carried out by Jiangxia County."

The county magistrate coughed.

In fact, they have only a slight understanding of mathematics.

Especially the county magistrate, what he knew was just the questions and answers reported below. As for why, he didn't know at all. As for the king's way, he temporarily reported the Buddha's feet and did some homework. But mathematics is not something else. If there is no foundation, what's the use of sudden learning?

What Wang Daozhi knows is more about the story of mathematics history.

one

That's why he asked this question because he knew it was a difficult problem.

The county master said in his heart: "One hundred taels."

The county lord said with a flower gun: "Professor Feng, I have to ask Zhou Xiannie, is it okay? Is it Zhou Xiannie?"

The county magistrate didn't dare to do anything to Feng Li, but the look at Zhou Mengchen looked a little gloomy.

Zhou Mengchen took a deep breath and no longer had any hope for this position. This ninth-rank official was not as important as his mother's heart in Zhou Mengchen's heart, and probably his ancestral property in his mother's heart. But for Zhou Mengchen, it was just a part of his job. It was naturally good to have this job, but without this job, Zhou Mengchen didn't feel that he would not be able to eat in ancient times.

His focus is on Feng Li at this moment.

He said intimately: "The attitude of the county magistrate today is already very obvious. Even if I surpass Wang Daozhi, I don't know how much I am, this position may not be mine. However, Professor Feng has a lot of talents in the palace and has a lot of research in mathematics. Today, he looks good at his character. If he values ​​it, maybe as my uncle said, there is another world."

Zhou Mengchen said: "I already have it when I get back to the county master."

Feng Li immediately raised his eyebrows and said, "Impossible. How much do you say?"

He had a good impression of Zhou Mengchen, but after hearing this sentence, he suddenly became bad.

Because he knew the difficulty of pi, if he used the circumcision method, he didn't know when to calculate it, and there was no possibility of verbally calculating it.

Zhou Mengchen saluted and said, "   3.14159   26535." Zhou Mengchen originally wanted to have one more, but one was slicker and said two more. In fact, he could not carry the pi behind dozens, but more than a dozen were still OK. But he was worried that it would scare people, and others would not believe it.

Feng Li immediately said, "Get the abacus."

Immediately someone gave me an abacus. Feng Lili shouted: "It's not enough, take it again."

After a while, Feng Li spliced ​​the four or five abacuses together and marked the numbers with a brush. Then he moved his fingers and put them on the abacus. He could only hear the crisp sound of the abacus connected together, crackling endlessly. Feng Li's abacus with both hands was as fast as thunder and lightning, but he could not look at him. It seemed that everything was clear in his heart.

It's like a storm.
Chapter completed!