Guide to traveling through the Northern Song Dynasty

Chen Yuan was influenced by his teacher Yang Shi and specialized in water conservancy, shipbuilding, and military strategy.

If you want to be proficient in these three, you must have a good mathematical foundation.

Zhu Guoxiang and Zhu Ming, father and son, took out the simple numbers (Arabic numerals) and threw out a bunch of four arithmetic symbols. Chen Yuan didn't pay much attention at first, but after just a few minutes, he realized how practical these gadgets were.

He already knew addition, subtraction, multiplication and division, the principles of fractions, and even simple square formulas (the multiplication and multiplication method and Tianyuan technique were not invented until the Southern Song Dynasty).

After memorizing the new numbers and symbols, it only took Chen Yuan half a day to practice all the way from primary school mathematics to junior high school mathematics. It's not that he is a genius, but that he has already mastered those things and just expressed them in a new way.

By the second day, geometry principles were being taught.

This is something Chen Yuan has learned a long time ago, but the Zhu family's method is more intuitive and concise than traditional expressions.

The changes and formulas of plane geometry finally slowed down Chen Yuan's learning speed.

During lunch, Chen Yuan could not help but say: "Although arithmetic is a miscellaneous subject, it is close to Taoism and will be of great benefit to the family, country and the world."

Ju Ming has been visiting the library these days, trying to find endorsements from sages for promoting mathematics. The first thing to look through is the history books of the past dynasties, because miscellaneous studies are included in them.

He said at this moment: "Arithmetic is not close to Tao, but it is an integral part of Tao." The laws and regulations of "Han Shu" and "Hou Han Shu" say: The heaven and earth are first formed, and the characters are drawn, and then they are numbered. Things happen. It is also said: The number is one hundred, hundreds, millions, so counting things follows the principle of fate and fate. "Yishu" (ancient Chinese minister) also said: Count its fate first."

Chen Yuan said: "The Book of Han is the words of later generations of historians and cannot be regarded as the teachings of sages. The words of the Book of Yi are enough and can convince the public."

Although some people in the Song Dynasty suspected that "Guwen Shangshu" was a forgery, it had not yet become the mainstream view.

Therefore, the four words "tell his fortune first" can be used as an argument to promote mathematics.

These four words are not meant to tell someone's fortune. "Xian" refers to the ancient sage kings. When Yao, Shun, and Yu governed the country, they would first establish Shushu to order everything, and create Shushu to regulate the world's personnel. When Ban Gu was still annotating "Shangshu", he said that "mingbaishi" means the unified law of weights and measures.

Therefore, the promotion of mathematics is not to indulge in miscellaneous knowledge, but to restore ancient times and trace the path of the Holy King!

Ju Ming continued to throw out arguments: "Confucius also said in the "Book of Changes" that in ancient times, people tied knots to rule, and later generations of saints changed them with written deeds, hundreds of officials governed them, and all the people observed them. Knotting events is the number of knots, and saints made them After the word, it becomes a number. The ancient saint kings used arithmetic to govern hundreds of officials and thousands of people. Are we ordinary people more powerful than the saints and sages? Can we abandon arithmetic to pursue the great road and govern the country?"

"Of course!"

Chen Yuan was easily convinced because he was already proficient in mathematics, not to mention that he had "Shang Shu" and "Yi Zhuan" as basis.

In ancient and modern times, at home and abroad, if you want to spread new ideas, you must use the guise of "retrospection".

The Tang Dynasty had the ancient prose movement, the Song Dynasty had the Six Classics Zhuwo, the Ming Dynasty also had the retro movement, and there was the Renaissance in Europe. They are all a group of ideological pioneers who use retro to break the constraints and express new ideas through retro. This can be quickly recognized by the public, thus forming an ideological trend and being widely accepted in society.

Ju Ming then came to the conclusion: "The great road is in the books of sages. Confucius made it very clear on how to govern the country, and "Shangshu" also made it very clear. It is necessary to 'set up the number of bans first'. Times also change, in ancient times When the country was small and the people were few, you could tie knots to record events. In the era of the Three Kings, the land became larger and the people increased, so numbers were needed. Now our Song Dynasty has a vast territory and billions of people. The previous numbers can no longer bear it. More complex calculations must be used. Today's sages and scholars have extensively commented on the Six Classics, but no one has improved the algorithm. We should work hard to make up for it!"

This view establishes the rationality and necessity of improving mathematics, and is endorsed by Confucius and "Shang Shu".

Chen Yuan strongly agreed with this, but sighed: "It's a pity that the Mingshuang Examination has been abolished to select scholars."

During the reform of the imperial examination in the Song Dynasty, all subjects were merged into the Jinshi subjects, and the Mingshuang subject, which specifically tested mathematics, was cancelled. Now only the Mingfa subject has been restored, which mainly tests law and a few math questions.

There is no imperial examination, and mathematics is not popular.

Unless someone successfully rebels and forcibly adds mathematics to the imperial examination.

After dinner, the school janitor came to clear away the dishes, and Chen Yuan continued to do geometry exercises.

Zheng Hong came to see him: "Xiangong Zhu, Dalang, our ancestors are hosting a banquet to invite you two to discuss the purchase and sale of Junzi Tea."

"Okay," Zhu Guoxiang asked, "When will we attend the banquet?"

Zheng Hong said: "It will be fine in the next few days, it just depends on which day you two are free."

Zhu Guoxiang said: "Let's do it at noon tomorrow."

"We are waiting for you both," Zheng Hong said happily.

Fatty Zheng has left, but Chen Yuan is still immersed in solving problems, asking for advice from time to time on how to solve them.

The father and son have golden fingers and have clear memories of what they have learned. But it was inevitable that they would forget to teach a certain formula. Chen Yuan asked questions and they would fill in the formula.

With Chen Yuan's learning speed, he can basically master plane geometry in a month or two at most. After all, he already has the relevant knowledge base.

The next morning, father and son went down the mountain together.

As soon as I walked to the entrance of the academy, I saw two bamboo baskets parked there.

Ju Ming said casually: "A gentleman does not replace humans with animals, just walk down the mountain."

The academy students who heard this remark all praised him as a true gentleman and pretended to be cool without saying a word.

If Ju Ming became emperor, he would definitely not say this again. At most, he would restrain officials not to sit in sedan chairs. Because carrying a sedan chair belongs to the service industry, it can solve the employment problem. It does not matter whether a gentleman is a gentleman or not when running a country.

All the way to Zheng's house, the front door was wide open.

The father and son walked in from the front door, and Zheng Lan took his children and grandchildren to greet them in the front yard.

Big businessmen like the Zheng family have adopted a three-meal system, and it was not yet time to eat, so they were invited to rest in the garden.

The early flowers have bloomed, the garden scenery is beautiful, snacks are served, and Zheng Lan brings out the best group tea to entertain them.

Zheng Lan personally added charcoal to make tea and said: "My grandson is a naughty grandson. He learned a lot of serious skills from Da Lang in the past. I would like to express my gratitude here."

Zhu Ming smiled and said: "The junior officials are smart and not stupid."

"You have a little cleverness, but you don't have great wisdom," Zheng Lan said flatteringly, "You two made a gentleman's tea in a gentleman's way. This is called great wisdom. I admire you so much."

Zhu Guoxiang said: "I have found something occasionally, but it is just a start-up. By next year, the tea-frying skills will be more mature, and Junzi Tea will definitely taste better."

Zheng Lan said happily: "I'll wait and see." Then she asked, "How many pounds can I produce this year, and how many pounds can I produce next year?"

Zhu Guoxiang said: "There will definitely be no problem in producing a few hundred kilograms this year, but there is no telling how many kilograms will be produced next year."

"Excellent, this old man is relieved." Zheng Lan stroked his beard and smiled.

In modern tea mountains, the annual output of one acre can reach two to three hundred kilograms, but this is due to the addition of technology.

Converting both mu and kilograms into modern units, in the tea mountains of the Tang and Song Dynasties, the average yield per mu was less than 150 kilograms, and in some cases it could reach 180 kilograms. Daming Village has more than 300 acres of tea hills. Due to poor management, the average yield per mu is only 120 kilograms. All of it is used to make fried tea, with an annual output of more than 30,000 kilograms.

Don't look at how expensive tea is in big cities. That's the market price after layers of taxes.

The ex-factory price of tea garden owners is countless times lower, and first-class tea only sells for more than 80 yuan per catty. Even if the tea leaves in Daming Village are all first-class tea, and they don't pay a penny of tea tax, they can only earn more than 2,000 yuan a year.

This is of course impossible. There are only a few first-class teas, and most of them are second- and third-class teas. An annual income of more than 1,000 guan is enough.

He had to pay the tea tax. After all, Ju Ming was not a bandit. He had to take out part of the tea leaves and go through the same process as Lao Bai Yuanwai. The officials in Xixiang County are easy to bully, but the Tea Horse Company in Xixiang County cannot ignore it. It will be very troublesome to offend those people.

After deducting tea tax, shipping costs and production costs, the annual net profit is estimated to be less than 1,000 guan.

This is because the cost of frying tea is lower. If you steam tea like Lao Bai Yuan Wai, the net profit of two to three hundred yuan a year will be sky-high - Lao Bai Yuan Wai only makes money by selling private tea. If all tea horses are sold, Selling is 100% a loss. Because in addition to tea interest, there is also tea garden tax, which is also charged based on the proportion of tea produced.

"Wengweng!"

A girl suddenly ran in, grabbed Zheng Lan's arm, and kept shaking her coquettishly: "The Min family sent someone to invite me to go for an outing on March 3rd. If my mother doesn't let me go, I have to go. I have to go." Go ahead..."

"Okay, okay, you go, you go." Zheng Lan said with a smile on her face.

The girl said happily: "I want to bring a lot of delicious food, and I'll call Sister Li as well."

Zheng Lan nodded and said: "Call everyone, let your brother accompany you, don't let anything happen."

The grandfather and grandson were talking there, and the father and son were also chatting privately.

Zhu Guoxiang whispered: "This little girl, do you think she looks like any star?"

Ju Ming asked: "Who is it like? Dilraba, Gulinaza, or Malzaha?"

"What a mess," Zhu Guoxiang said, "I mean she looks like Li Lizhen."

Zhu Ming looked confused: "Who is Li Lizhen? I have only heard of Li Shizhen."

Zhu Guoxiang was very speechless. After all, they were two generations and had no common topic in this regard. He had to say: "Li Lizhen is a Hong Kong star and has made many good movies."

"Oh," Ju Ming seemed to have his memory opened, "I remembered, did you film a movie "When the Durian Is Ripe"?"

Zhu Guoxiang's face turned dark. He had already heard that his son was making fun of him.

"Isn't it "When Durians Are Ripe"?" Ju Ming was still pretending, "It must be "When Cherries Are Ripe" or "When Bananas Are Ripe"."

Zhu Guoxiang stopped talking.

Ju Ming had a bad smile on his face: "Dean Zhu, you must have seen this movie. What kind of fruit is ripe?"

"You can shut up!" Zhu Guoxiang glared at his son.