Royal Road

Crowded among the refugees, Liu Jian was surprised to find that Taihangxing was a little different from what he thought. Seeing that the servants of the Liang House had a few words with the guards, the gate opened. Not only these people around, but even the refugees behind them went to the Xingdao together, and there was no one to collect any passing property, so let them enter Bingzhou like this?

This is the main road from Sizhou to Bingzhou, passing through Taihangxing and bypassing other places to save more than ten days. It stands to reason that, let alone the refugees, it is not easy for the people of the Liang Family to pass the customs. How can it be possible to solve the problem in one sentence?

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

Liang An smiled: "It is not easy to pass, but we are from the Liang Mansion, how can anyone stop?"

The face of Liang Mansion has been so effective? Liu Jian looked at the refugees behind him again: "Where are these people? Could it be because of the Liang Mansion?"

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

What can it look like in two or three months? Liu Jian was confused and couldn't ask too much, so he had to follow the crowd and walk along the rugged path. After walking like this for one day and staying in Taihang Pass for another night, I came to Bingzhou.

The first to arrive is naturally Gaoducheng. Because of the large number of migrants, many shacks have been built outside the city, but there is no sense of chaos. A few government servants stood guard outside the city, saw the refugees, and immediately took them to the hut. They were quite orderly. Obviously they were used to this. Farther away, more than a dozen cows and countless men and women are farming in the fields, not knowing whether they are reclaiming wasteland or driving spring, it is a busy scene.

Seeing the busy crowd in front of him, Liu Jian's heart was immediately settled. Such a scene of spring plowing may not even be seen in Qingzhou for many years. Gaodu seems to have a very diligent county magistrate, and Liang's mansion is near Gaodu, and it should have benefited quite a bit. It seems that A'an's words are true.

However, when the gate of Liang's house really appeared in front of him, Liu Jian was surprised: "In this village, are all under the jurisdiction of Liang's house?"

This is quite a small piece of land, it has been circled by Liang Mansion?

Liang An's eyes gleamed, and he excitedly said: "This gate was not built when I left. However, there will be such a strong gate in the winter, so why should Liu Langjun worry about it!"

This is the gate built within two months? Looking at the huge gatehouse about three feet high in front of him, Liu Jian couldn't believe it. But telling such a lie is meaningless. Is it possible that the Liang Palace really has this strength? Doubtful, he drove into the village. The scene inside is the same as outside Gaodu City, and even busier. There are working farmers on both sides of the road, and there are overturning vehicles in the fields, and the rushing river flows down the ditches into the fields.

Had it not been for the fact that he had not known the severe drought in the past two years, he would have thought that the weather for this place would be smooth, which would be a paradise on earth!

It seems that Liang Mansion is indeed a good place to go, only to see what Liang Langjun asked them to do. In such a thriving manor, it is a good job even to study the astrology with the owner of the family!

Of course, Li Xin didn't think so.

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

Liu Jian was bluffed: "Zile, this is Liang Hou, don't be rude!"

Looking at the two young people in front of him, Liang Feng smiled and said: "Of course, as long as Mr. Liu's proofreading of the "Nine Chapters of Mathematical Scripture" can be published by Liang's mansion. Just like the volume of "New Treatise on Febrile Diseases", now More than two hundred volumes have been published, and in some time, the world will know it."

"New Treatise on Febrile Diseases" Li Xin has seen, and it is this excellent book that made him determined to leave Qingzhou and come here. Unexpectedly, there are now more than two hundred copies of this book printed! Isn’t that there are all literate homes in Binzhou? If the "Nine Chapters of Mathematical Scriptures" annotated by his master can 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 warnings urged him to act so recklessly in the end! Liu Jian was ashamed to look at the smiley face of the main seat, and said embarrassingly: "I wonder why Lianghou invited us to come?"

"I heard that Mr. Liu once wrote the volume of'Heavy Differences', which can measure the mountains and rivers. It just so happens that my house is preparing to draw a map, and I want to borrow two senior talents..."

Before Liang Feng finished speaking, Li Xin already shook his head: "Measuring the mountain is time-consuming and laborious, and it's not very interesting. Don't do it."

Liang Feng choked: "Then invite two professors and apprentices, and let them map it?"

"There are too many fools, who is impatient to teach?" Li Xin snorted disdainfully, "I have to sort out the manuscripts left by the master and continue to study the calculations. How can I have such idle time!"

This is too lack of exchange of common sense, and it's strange if you don't shoot him out. It's no wonder that he betrayed his original teacher, went to Qingzhou to apprentice, and then took dozens of volumes of the teacher's manuscript and came here to ask for printing. For this kind of research talent who is obsessed with mathematics and unreasonable, I am afraid that it is not easy to use profit to lure.

After thinking for a moment, Liang Feng suddenly said: "In fact, I always have something in my mind. Is the place under our feet flat and uniform?"

Hearing this, Li Xin sneered: "Naturally not. The ground is semicircular. As Zhang Taishiling said, ‘the whole sky is like a chicken, the celestial body is round like a bullet, and the ground is like yellow in a chicken, living alone inside.’”

This is the record in Zhang Heng's Armillary Sphere Note. It is different from the previous Gaitian theory. Zhang Heng believes that the sky is a sphere, and the earth is a half ellipsoid, and there is water below it that connects with the sky. Only in this way can we explain the astrological and mathematical principles. As a great mathematician, Liu Hui created the chapter "Heavy Differences" and lived in Shandong all the year round. He has naturally seen the scenery of mountains and islands on the sea. It is not difficult to draw conclusions similar to Zhang Heng. However, Liu Hui's interest lies in pure mathematics. He doesn't know much about 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 estimated to be the limit of human imagination to the earth before the discovery of universal gravitation. Liang Feng said happily: "It's true! I think the climate is almost the same in the east and west directions, but the north and south directions are different. Only the surface of the earth is a spherical surface to explain the difference between the north and south weather. Since it is a spherical surface, it should be possible to calculate the size of the sphere. Yes. I wonder if Mr. Liu has studied all his life, maybe he can calculate the area of ​​the semicircle under his feet?"

"Huh?" Li Xin blinked. The length of the ground is also explained in "Zhou Di Ma Jing", but if the ground is not flat, how can the numbers be correct? Both the number of circle cuts and the weight difference are master’s favorite studies. With these two, it seems that the surface area of ​​the ground can really be re-measured.

Seeing Li Xin's move, Liang Feng chased after victory: "If you want to survey the ground, it is not a day's work. It is better to stay at the mansion and edit Mr. Liu's manuscript while teaching some assistants. When the situation is too peaceful, then bring your assistants to cross. Famous mountains and big rivers, measuring the surface of the earth and drawing a map that fits the study of heavy differences, don’t you have the best of both worlds?"

Seeing the few words in front of the person in front of him made Li Xin feel unbearable, and Liu Jian hurriedly stopped in front of him: "Liang Hou's words are refreshing, but there are still many questions that have not been resolved by the teacher. If you spend your life's energy on On the map of the world, I am afraid that I have missed what I have learned."

If you really let Zi Le run to draw a map, he would probably have been involved in this life. Unlike those nobles who like to count, the man in front of him can't be dismissed by talking. How to pass on the things that grandfather left behind?

When he was stopped talking, Liang Feng didn't get annoyed. He smiled and asked, "I wonder what method Liu Lang is good at?"

Liu Jian is not as versatile as Li Xin, and simply said: "I prefer to cut the circle."

"Well. The heavy difference can measure the mountains and islands. What can you do with the circle?" Liang Feng asked curiously.

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

Seeing that Liu Jian couldn't answer for a while, Liang Feng said: "Since it is round, there should be a lot of by-passes. Just like the waterwheel recently developed by Liang Mansion, it is perfectly round, but it is too much to build. It’s too difficult. If Liu Lang can make it a bit more concise and improve its efficiency, it would be great! Also, the throwing path of the bow and crossbow is also an arc. I don’t know if we can calculate the distance of force with the circle cutting technique to make it throw farther and shoot. More accurate?"

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

Applying what you have learned is the weakness of any researcher, and Liu Jian is no exception. In fact, he was not very interested in the advanced arithmetic studied by his grandfather, but was very addicted to the circle-cutting technique. If it can be used in daily life, can this method be spread more widely?

Seeing his shining eyes, Liang Feng couldn't help but let out a sigh of relief. Mathematics, especially geometry, has an extremely significant impact on science and engineering manufacturing. Nowadays, there are many skilled craftsmen in various workshops, but all they know is "skills", which is a vague concept based on experience. If there is "spell" as a guide, it is possible to pierce the window paper and solve some problems that cannot be solved by experience alone.

This is the essence of "mathematics is the mother of science". After finally abducting two genuine disciples under the name of Liu Hui, how can they waste it on drawing and making charts?

Putting on a gentle smile, Liang Feng said: "That's great. In the future, you can continue to study knowledge in the Fuzhong, and Liangfu will be responsible for everything you need to live, clothing, and shelter. I will choose a few clever apprentices to send over to learn the tricks of heavy duty. If it is Fangzhong If there is any problem that cannot be solved, I will show it to you for your review."

Seeing that the brother seemed to have acquiesced, Li Xin immediately said: "I have two bamboo slips, so I need a lot of slips for counting!"

"Liang's mansion produces paper, and daily check calculations can be recorded with paper. I will also order someone to make a blackboard for you to replace the sand table." Liang Feng responded broadly.

"Brother, you can use paper here!" Li Xin was immediately excited, covering food and housing, using paper as he pleases, and printing books. Is there a better place than here?

Liu Jian hesitated: "Are there monthly payments?"

Of course it is good to include board and lodging, but how can I guarantee it if there is no money left? Even if you are cheeky, you have to ask about this.

"Compared with the standard in the government, three husks of rice in January. If you teach a disciple, add two silks; if you help the workshop develop usable tools, you can get rewards. I don't know how good this is?" Liang Feng asked rhetorically. .

Seeing the smiling face of the person in front of him, Liu Jian swallowed his saliva: "It's so good..."