Royal road

Crowded among the refugees, Liu Jian was surprised to find that Taixing Xing was a little different from what he thought.After seeing the servants of the Liang Mansion chatting with the soldiers defending the city for a few words, the pass opened the gate.Not only the people around them, but also the refugees behind them went to Xingdao together, and no one collected any property for passing the customs, so let them enter Bingzhou like this?

This is the main road from Sizhou to Bingzhou, passing through Taihang Xing and bypassing other places to save more than ten days of travel.Logically speaking, not to mention refugees, it is not easy for people from the Liang Mansion to pass the customs. How could it be possible to solve the problem with a single sentence?

Li Xin was naturally elated to be able to enter the customs so easily, but Liu Jian was not as big-hearted as he was. He endured and endured, and finally couldn't help asking: "A'an, why is it so easy to pass the customs now?"

Liang An chuckled: "It's not easy to pass the customs, but we are from the Liang family, how can anyone stop us?"

Has the Liang family's face been so effective?Liu Jian looked at the group of refugees behind him again: "What about these people? Could it be because of the Liang Mansion?"

"I can't tell. It is said that Gaoducheng is recruiting refugees? Well, I have been away for two or three months, and I really don't know what the mansion looks like now." Liang An's tone was full of regret.

What will it look like in two or three months?Liu Jian was at a loss and didn't want to ask too many questions, so he followed the crowd and walked along the rugged path.After walking like this for a day, and staying in Taihang Pass for another night, I came to the territory of Bingzhou.

The first to arrive is naturally Gaodu City.Due to the large number of refugees, many shacks were built outside the city, but there was no sense of clutter.Several yamen servants stood guard outside the city. When they saw the refugees, they immediately took them to the huts. They were quite orderly, and they were obviously used to it.Farther away, more than a dozen cows and countless men and women are farming in the fields, and it is unknown whether they are opening up wasteland or rushing to the spring. It is a busy scene.

Seeing the busy crowd in front of him, Liu Jian immediately felt a little more at ease.Such a scene of spring plowing has not even been seen in Qingzhou for many years.It seems that Gaodu has a very diligent county magistrate, and Liang Mansion is near Gaodu, so it should also benefit a lot. It seems that An'an's words are true.

However, when the gate of Liang Mansion's village really appeared in front of him, Liu Jian was still taken aback: "This village is all under the jurisdiction of Liang Mansion?"

This is quite a large piece of land, and it has been enclosed by the Liang Mansion?

Liang An's eyes lit up, and he said excitedly, "The gate of this village hadn't been built yet when I left. But in one winter, there is such a strong village, why should Liu Lang-jun worry about it!"

Is this the gate built within two months?Looking at the huge gate tower about three feet high in front of him, Liu Jian couldn't believe it.But it's meaningless to tell such a lie. Could it be that the Liang family really has this strength?Suspicious, he drove his horse into the village.The scene inside is the same as outside Gaodu City, even busier. There are farmers working on both sides of the road, there are overturned cars in the field, and the rushing river flows into the field along the ditches.

If he hadn't known about the severe drought in Bingzhou in the past two years, he would have thought that this place was a paradise on earth with good weather and good weather!

It seems that the Liang Mansion is indeed a good place to go, it just depends on what Liang Langjun asked them to do.In such a thriving manor, it would be a good job to accompany the owner to study astrology!

Of course, Li Xin didn't think so.

"You are the master of the Liang Mansion? Can you help me publish the manuscript left by Master?" Unlike others, Li Xin didn't show any surprise after seeing Liang Feng, and straight to the point.

Liu Jian was taken aback: "Zile, this is Marquis Liang, don't be rude!"

Looking at the two busy young people in front of him, Liang Feng smiled and said: "Of course, as long as Mr. Liu's "Nine Chapters Suanjing" is edited and annotated, the Liang House can publish it. Just like that volume "Treatise on Febrile Diseases", now More than [-] volumes have been printed, and in a few days, it is not impossible for the world to know about it.”

Li Xin had seen "New Treatise on Febrile Diseases", and it was this excellent book that made him decide to leave Qingzhou and come here.But unexpectedly, more than [-] copies of this book have been printed now!Doesn't that mean that there are all literacy homes in Bingzhou?If the "Nine Chapters Suanjing" annotated by his master could be published, wouldn't it be famous all over the world? !

Thinking of this, Li Xin immediately turned to Liu Jian and said, "Brother, it's not bad here! Let's leave after we finish printing the book!"

Liu Jian: "..."

Thousands of exhortations and ten thousand instructions, but in the end they still acted so recklessly!Liu Jian was almost ashamed to see the half-smile expression of the chief seater, and said in embarrassment, "I don't know why Marquis Liang invited us here?"

"I heard that Mr. Liu once wrote a volume of 'Heavy Differences', which can measure the heights of mountains and rivers. It just so happens that my family is planning to draw a map, and I want to borrow two talented people..."

Before Liang Feng finished speaking, Li Xin had already shaken his head: "Measuring mountains and land takes time and effort, and it's not very interesting, so don't do it."

Liang Feng choked: "How about inviting two professors and apprentices to survey and map?"

"There are too many idiots, who has the patience to teach them?" Li Xin snorted disdainfully, "I still have to sort out the manuscripts left by Master, and continue to study and count. How can I have such free time!"

This is too lack of common sense to exchange, it would be strange not to kick him out of another person.No wonder he was able to betray his original teacher, went to Qingzhou to learn from his teacher, and made dozens of volumes of manuscripts from the teacher's house, and came here to ask for publication.For this kind of research-oriented talent who is obsessed with mathematics and irrationality, it may not be easy to lure him with benefits.

After thinking for a moment, Liang Feng suddenly said: "Actually, I always have one thing on my mind. Is the ground under our feet flat and uniform?"

Hearing this, Li Xin sneered: "Of course not. The earth is a semicircle. As Zhang Taishi Ling said, 'The sky is like a chicken, the celestial body is round like a bullet, and the earth is like a yellow chicken, living alone in it.'"

This is the record in Zhang Heng's Notes on the Armillary Sphere.It is quite different from the previous theory of Gai Tian. Zhang Heng believes that the sky is a sphere, and the earth is a half ellipsoid, with water below it connecting to the sky. Only in this way can the principles of astrology and mathematics be explained.As a great mathematician, Liu Hui created the chapter "Heavy Differences", and lived in Shandong all the year round. Naturally, he has seen the scenery of mountains and islands on the sea, so it is not difficult to draw a conclusion similar to Zhang Heng.However, Liu Hui's interest lies in pure mathematics, and he doesn't have a deep understanding of astronomy. Li Xin just knows about it and doesn't pay much attention to it.

Unexpectedly, Li Xin knew about the curvature of the earth's surface. The semicircle theory is probably the limit of human imagination for the earth before the discovery of gravity.Liang Feng said happily: "That's true! From my point of view, the climate from the east to the west is roughly the same, but the direction from the north to the south is very different. Only the surface of the earth is a sphere to explain the difference in weather between the north and the south. Since it is a sphere, it should be possible to calculate the size of the sphere. Yes. I don’t know if Mr. Liu has devoted his whole life to measuring the area of ​​the semicircle under one’s foot?”

"Huh?" Li Xin blinked. "Zhou Di Suan Jing" also explains the length of the earth, but if the earth's surface is not flat, how can the numbers be correct?The number of cut circles and the weight difference are master's favorite learning. With these two, it seems that the surface area of ​​the earth can really be re-measured.

Seeing Li Xin moved, Liang Feng took advantage of the victory and pursued: "If you want to measure the earth, it will not be done in a day. Why don't you stay at the mansion, revise Mr. Liu's manuscripts, and teach some assistants. When the situation is peaceful, you can take your assistants across the country." Famous mountains and great rivers, measure the surface of the earth, and draw a map that conforms to the theory of heavy difference, wouldn't it be the best of both worlds?"

Seeing the man in front of him speak a few words, it made Li Xin feel itchy, so Liu Jian hurriedly stopped in front: "Liang Hou's words are refreshing, but there are still many doubts that have not been resolved. If you spend your whole life on On the map of the world, I'm afraid I missed what I learned."

If Zi Le was really allowed to draw a map, he would probably spend his entire life in it.This person in front of him is not like those noble people who like to count, he can't just talk about it.How to pass on what the grandfather left behind?

Liang Feng was not annoyed when he was stopped, and asked with a smile, "I wonder what Liu Lang is good at?"

Liu Jian is not as versatile as Li Xin, and simply said: "I prefer the art of cutting circles."

"Hmm. There are mountains and islands, what can you do with a circle?" Liang Feng asked curiously.

Liu Jian was speechless for a moment.The art of circumcision was my grandfather's lifelong painstaking effort, but how can I explain it to others? In "Nine Chapters of Arithmetic", each chapter is a practical solution to the problem, even the heavy difference is no exception, the circle cutting technique should have its use.

Seeing that Liu Jian couldn't answer for a while, Liang Feng said: "Since it is round, there should be many side effects. Just like the waterwheel recently developed by the Liang family, it is perfectly round, but it is too big to build. It’s too difficult. If Liu Lang can make it a little more concise, it will improve its efficacy! Also, the throwing path of the bow and crossbow is also an arc. Is it more accurate?"

Hearing what Liang Feng said, Liu Jian couldn't help but his eyes lit up: "Maybe you can give it a try!"

Applying what you have learned is the weakness of any researcher, and Liu Jian is no exception.In fact, he is not very interested in the advanced mathematics studied by his grandfather, but is very obsessed with cutting circles.If cutting circles can be used in daily life, can this method be spread more widely?

Looking at his shining eyes, Liang Feng couldn't help but heaved a sigh of relief.The influence of mathematics, especially geometry, on science and engineering is extremely significant.Nowadays, there are many skilled craftsmen in various workshops, but what they know is only "skill", which is a vague concept based on experience.If there is a "spell" as a guide, it is possible to pierce the window paper and solve some problems that cannot be solved only by experience.

This is the true meaning of "mathematics is the mother of science".After finally abducting two genuine disciples under Liu Hui's name, how could they be wasted on drawing and tabulating?

Putting on a warm smile, Liang Feng said: "This is very good. In the future, you can continue to study and learn in the mansion. The Liang manor is responsible for your daily necessities. If there are any problems that cannot be solved, I will also present them to you for review."

Seeing that the senior brother seemed to agree with it, Li Xin immediately said: "I still have two bamboo slips, and it takes a lot of slips to keep count!"

"Liang Mansion produces paper, which can be used to record daily calculations. I will also order people to make blackboards for you instead of sand tables." Liang Feng responded with a big package.

"Brother, paper can be used here!" Li Xin was excited immediately. Food and shelter are included, paper can be used as you like, and books can be printed. Is there a better place than here?

Liu Jian hesitated for a moment: "Is there a monthly salary?"

It’s good to have room and board included, but how can we guarantee it if we don’t have extra money?Even if you have a thick skin, you have to ask clearly about this matter.

"Compared to the standard in the mansion, three dendrobiums of rice per month. If you teach a disciple, you will get two bolts of silk; if you assist the workshop to develop usable tools, you can get rewards. I wonder if this is good?" Liang Feng asked rhetorically. .

Looking at the smiling expression of the man in front of him, Liu Jian swallowed his saliva: "It's so good..."