Guan Qiu is literate and can do basic addition, subtraction and multiplication operations - as an apprentice carpenter, to calculate various sizes, if you don't even know this, you will undoubtedly not be able to do it, but in addition to a thousand characters and a few Tang poems, he has not read many books, as for the ten books of arithmetic, which are mostly family studies, or things that can only be studied by people with money and leisure, he doesn't understand it even more.

Therefore, when he persistently asked Zhang Shou about the pendulum cycle, but finally heard the formula T=2π√L/G, which is extremely unfriendly to semi-illiterate, he was suddenly stunned, and then he was even more depressed. This was the first time he had gotten an answer after asking someone, but he didn't understand it at all.

And Zhang Shou saw his embarrassment, thought about it and said, "That's it, your senior brother and Luo Xiaoxiao are there, they may not let you interfere." I'll lend you a set of my arithmetic textbooks in the Jiuzhang Hall of Guozijian, you can study by yourself and try to understand how much is much, and when Lu Sanlang comes over, you can ask him. When you learn vertical division, you can learn to calculate square roots vertically. ”

Nowadays, there are not as many things as before, so Zhang Shou did not patiently explain mathematics and geometry to Guan Qiu from scratch like he used to do in the countryside to Qi Liang and Deng Xiaodu, but after agreeing to borrow books, he ordered Guan Qiu to set a pendulum clock structure based on the principle of a single pendulum.

Of course, in his previous life, he had only looked up some information on the Internet out of curiosity, and on a few drawings in his hand, the things he drew were as fragmented as the drawings he had shown the three of them before.

Before leaving, seeing the young man staring at the drawings intently, Zhang Shou couldn't help but feel extremely complicated. Although Taizu should have thought about change, but now after all these years, the Four Books and Five Classics still occupy an overwhelming position, and all the ten books of the former Sutra have to stand aside, not to mention other things. Therefore, the most talented talents, all of whom are gathered in the official career.

The most important thing is that it is impossible for the dignitaries and wealthy businessmen of this era to fund any science and culture - it is still possible for them to fund the poor scholars who are committed to governing the country and the world, and invest in shipping to make a fortune.

However, in fact, the Chinese have always been very smart, when the basic mathematics and physics were popularized, since the Republic of China, how many geniuses have emerged in the whole of China, and how many top scholars have been created? He doesn't have that level, but his mathematical foundation is quite solid, in this case, why not introduce Ge's physics in addition to Ge's arithmetic?

On the evening of this day, when Zhang Shou, who had caught up with the second class of Jiuzhangtang, finished the class and went to visit Ge Fu, he had just cautiously asked Ge Yong in the study if he was interested in publishing another set of basic nature books, and he was stunned.

"Are you kid finished?" Ge Yong glared at Zhang Shou angrily, with a sad face, "If you have an idea, you can take it out and discuss it with me, but what inspiration and achievements do you have, all of them are pushed on my head as a teacher, is it too unmotivated?" In the past, you were an unknown pawn, worried that what you said, the books you wrote would have nowhere to be promoted, and no one cared about them, so let me take the blame. ”

He paused, and his voice suddenly raised an octave: "But now you are already famous in the capital, isn't it good to write a book and let those who question you see it?" Besides, when you gave a nature lesson to those people in the Mid-Levels Hall, I also occasionally audited it, and it has nothing to do with the arithmetic, who can slander me again to help you become famous! ”

Zhang Shou, who was almost squirted with saliva, finally came back to his senses after the initial stunned. The mathematics textbooks he took out at the beginning were completely different systems from the previous arithmetic, and at the beginning he was originally pretending to be an old gentleman to teach students in Cuiyun, thanks to Ge Yong's lie for him, so later he promoted the textbooks under the reputation of Ge Yong, but physics was different.

Before Newton was born, the knowledge of those students who were tired to death in later generations was really unprecedented......

He was silent for a moment, then smiled dryly: "In that case, after I write it, please take a look at it first." ”

"That's what it sounds like!" Ge Yong was a little satisfied, "Although you are the same age as those fledgling boys, you are now a Liupin Hanlin attendant and Zhan Shifu Zuo Zanshan, Dr. Guozi, who wrote a book and said that for you, that was the way it should be." By the way, I heard that the emperor is going to take you to choose horses and honor guests? ”

Zhang Shou couldn't cry or laugh. He is the one who keeps his mouth shut, Mr. Ge, your old man's news is too well-informed! And the next moment, Ge Yong triumphantly revealed the answer himself.

"This idea is my old man's idea to the emperor! You must know that Dr. Guozi wants to go to the court according to the previous rules, but because the emperor came to the Guozijian last time and said that he wanted to rectify the style of study, Dr. Guozi had to personally manage the six halls, except for the three major dynasties of Zhengdan, Wanshou and Winter Solstice, the court meetings on the rest of the days were exempted. There are a lot of people in the DPRK and outside who don't know you, so you have to let them see and understand! ”

The so-called old child, is it a person like you, teacher?

Zhang Shou didn't know what to say, so in the end he could only smile helplessly: "Teacher, you also said that on the winter solstice of Zhengdan Wanshou, I want to go to such a big court meeting." Besides, the last time the eldest prince and the second prince had a dispute, didn't the emperor summon me to the court? The emperor chooses a son-in-law, he looks at his future son-in-law or niece-in-law, but you want people to look at me, isn't that putting the cart before the horse? ”

"That's what the emperor meant, why do you care so much?" Ge Yong had a look on his face, and then said thoughtfully, "By the way, after you finish your book, you also plan to promote it in the Guozijian?" ”

"No, I want to promote from children." Zhang Shou took a breath lightly, and then said in a low voice, "The ancients watched the sunset and the stars sinking, watched the flowers bloom and fall, and watched the great rivers go east, so they calculated the trajectory of the stars, the sowing time, and even the flooding of the river, the time of the tide, etc., these principles of the operation of all things, cultivated from a young age, are much easier to learn when they grow up." ”

"Teacher, the Ordnance Bureau's globe, you should have seen it. If that were true, today's Da Ming would actually be very small. And if the earth we live on is a ball, how many planets are there in the vast starry sky? If the top talents are all dedicated to governing the country and leveling the world, is this vision too narrow? ”

Seeing Ge Yong nodding approvingly, he paused, and then said in a deep voice: "I plan to give two copies to the third and fourth princes after writing the first book. Their arithmetic is progressing very quickly, and it is appropriate to learn these things. ”

"From top to bottom!" Ge Yong pointed at Zhang Shou clearly, and then said dissatisfiedly, "Why send those two little guys first, you have to send them to me, Lao Qi and Old Man Chu first!" If the three of us think it's good, uh-huh, maybe I can help you train a few more children in the future! ”

Although Ge Yong said this as if it was just a joke, Zhang Shou knew that this teacher was definitely serious. Besides, he knew very well that he was able to obtain such authority and freedom as he did now, thanks to Ge Yong's appearance in Rongshui Village and recognition of him as a closed disciple, otherwise, the once stormy Zhao State Mansion would not have brought him the scenery he has now.

Therefore, the support of the arithmetic master Mr. Ge, who may play the greatest role at any time, is of course the most welcome!

At that moment, he immediately thanked him and said, "Thank you, teacher!" ”

"Thank you, no need." Ge Yong pulled his beard with a smile, and then said in an extremely light tone, "Qin Tianjian said that the previous Great Ming Calendar has been used for many years, and it is time to rebuild it. No, ask me and Lao Qi Lao Chu, we both promised to help calculate, since you are here, let's come and help tonight. ”

Hearing this, Zhang Shou's smile suddenly couldn't hold back. In the past, it was to calculate various ancient and modern arithmetic problems, to calculate the flow of large rivers and diversion diagrams, and to help teachers gradually understand plane geometry and three-dimensional geometry...... Now it's a tall one, calculating the calendar...... He didn't want to have anything to do with Qin Tianjian, this time he counted the calendar, wouldn't it be a solar and lunar eclipse next time?

In modern society, there are a few college students who have studied advanced mathematics to count this! He doesn't know at all!

Although Zhang Shou was dying, however, Mr. Ge's strength was not idle, so he was finally retained. He had no choice but to listen more, watch more, and talk less, until Ge Yong sighed at Guo Shoujing's "Time Calendar", and he came back to his senses.

In the early years of Taizu, he was greatly admired by Guo Shoujing's "Time Calendar", so at that time, Qin Tianjian changed the time calendar and adapted a "Da Ming Calendar" to cater to the wishes. However, although Guo Shoujing is a master of arithmetic, and he is also outstanding in astronomy and geography, when his calendar was presented, he actually changed his appearance and removed the years and years. ”

"As a result, I say to add it every year, and I drag it every year! It's all a good thing done by that group of wastes in the time of Gaozong! Moreover, when Gaozong was strictly prohibited, it was strictly forbidden to have a folk academic law, a calendar, and no unauthorized observation of the heavens, if it weren't for the gradual lifting of the ban over the years, like I am here to talk to you about the calendar, it is all forbidden! ”

Zhang Shou couldn't help but dig out his ears, but he didn't care about Ge Yong's complaints, but suddenly thought of a piece of history.

Although he is not so familiar with the calendar, he at least remembers that Zhu Yuanzhang, who was praised by countless people as the most upright in the country until later generations, set strict restrictions on the calendar and astronomy while his political skills were strong and top.

Zhu Yuanzhang, like the previous dynasties, not only forbade the folk academic law to compile the calendar, but even forbade the folk to study astronomy. And all the people in charge of astronomy and the calendar were concentrated in the Qin Tianjian. At the same time, it was stipulated that the personnel of the Qin Tianjian were prohibited from holding other official positions for life. Even the children and grandchildren of the officials of the Qin Heavenly Prison were not allowed to engage in other occupations in order to ensure hereditary succession. If anyone dares to disobey, there is no discussion about the army. However, who is a little ambitious, who is willing to nest in Qin Tianjian for the rest of his life?

You must know that ancient astronomers were generally mathematicians, and astronomy was the first driving force of mathematics. After the astronomy was banned, how many people in the entire folk still learned the real arithmetic? Even the "Arithmetic Sect" is more of a practical mathematics manual.

Many of the mathematical theories of the Song and Yuan dynasties were not known to the mathematicians of the Ming Dynasty. Some famous mathematicians do not know how to open square roots, do not know how to use Tianyuan to solve equations, and the world of theoretical mathematics is bleak, and there is no new breakthrough......

Moreover, I also want to know that even if those people in the Qin Tianjian were excellent astronomers and mathematicians, their sons must be astronomers and mathematicians? This proposition, just like the son of a scholar, will always be a scholar, it is unreasonable. As a result, throughout the Ming Dynasty, the calendar of Qin Tianjian often did not coincide with the celestial phenomena. This phenomenon of a lot of waste in the Qin Heavenly Prison even continued into the Qing Dynasty.

It was not until the end of the Ming Dynasty that the missionaries came, and under the auspices of Xu Guangqi, the Chongzhen Almanac finally came out, and this calendar also escaped the change of dynasties, and changed its appearance in the Qing Dynasty, and appeared in front of everyone with the "Western New Law Almanac".

"Zhang Shou, you say, do you want to recalculate this Shangyuan year?"

Zhang Shou, who was thinking about the evolution of the Ming and Qing calendars, heard this question, until he was slapped the shoulder by Ge Yong, and his thinking returned to its place. He embarrassedly asked Ge Yong to repeat the question, and then his brow furrowed into a big pimple.

Shangyuan Accumulation Year...... God, he still heard this term when the teacher of the history elective course talked about the advanced nature of the "Teaching Time Calendar". To put it simply, just as the West regards the birth of Jesus as the beginning of the Common Era, the first year of the year is usually selected as the middle of the night of the winter solstice as the epoch, and this new day must be the Jiazi day at the same time. Then push up through this epoch, and find a time when the sun and the moon are in conjunction with the wall, and the five stars are aligned, as the upper element. The interval between the previous year and the year in which the calendar was compiled is called the cumulative year......

Well, he doesn't remember the algorithm because he is extremely sensitive to numbers, but he still remembers that Liu Xin, the strongman who was the first to launch this algorithm in the Western Han Dynasty, calculated that the Taiji Shangyuan is a terrifying number - 23639040 years...... He remembered that in order to show off when he was young and frivolous, he memorized a lot of partial knowledge, and used this number to kill a real scholar......

At this moment, Zhang Shou, who was in a hurry, immediately shook his head and said: "Don't take out this kind of thing that has been thrown into the pile of old papers by Guo Shoujing a long time ago." I remember reading the history books that Guo Shoujing compiled the calendar, tested the four seas, and sent people to 27 places in the world to measure the shadows. If you really want to make a new calendar now, at least you have to, right? ”

Seeing Ge Yong's face a little pale, Zhang Shou knew that he had hit the point, lest he be caught counting these things that he was completely mad about, he had no choice but to say solemnly: "In the Tang Dynasty, the calendar was compiled, and the monks and his party also sent people to observe in thirteen places in the world, and in the Yuan Dynasty, it was twenty-seven. Test first and then calculate, this can be accurate! ”

He paused for a moment, and then said word by word: "This is the duty of Qin Tianjian, the teacher and Mr. Qi and Mr. Chu are not in their position, they do not seek their own politics, they can make suggestions, they really do it, or they should be allowed to go, otherwise it will be boring to attract resentment in the future!" ”

After laying out the facts and reasoning, Zhang Shou finally persuaded Ge Yong, first asked the people of Qin Tianjian to write to implore the emperor to set up an observation point in the world, and then said anything about changing the calendar, and successfully escaped from Ge Mansion, and then wiped his forehead faintly sweaty.

The calendar is a pit, if Ge Yong really forces him to calculate it in the future, he can only throw out the Gregorian calendar...... But this kind of simple refining algorithm that takes a leap every four years, removes three leaps in four hundred years, and only has an error of one day for a full 3,300 years, he has to think about it carefully, how to explain the origin and theoretical basis to people?