Guan Qiu is literate and can do basic operations of addition, subtraction and multiplication - as a carpenter's apprentice, you have to calculate various dimensions. If you don't even know how to do this, you will undoubtedly not be able to do it. However, apart from the thousand-character essay and a few Tang poems, He hadn't read many books, and he didn't even understand the Ten Books on Calculation, which were mostly studied by family members or only those with money and leisure.
Therefore, when he persistently asked Zhang Shou about the period of the simple pendulum, and finally heard the formula t=2π√l/g, which was extremely unfriendly to semi-illiterates, he was immediately stunned, and then even more lost. This is It was the first time that he got the answer immediately after asking someone, but he couldn't understand it at all.
Zhang Shou saw his embarrassment, thought for a while and said: "Well, your senior brother and Luo Xiaoxiao may not let you interfere. I'll borrow a set of arithmetic textbooks from the Jiuzhang Hall of the Imperial College. Here you go, try to teach yourself and understand how much is what. When Lu Sanlang comes over, you can ask him for advice. Once you have learned the vertical division, you can learn to use the vertical form to calculate square roots."
Nowadays, there are too many different things to do, so after all, Zhang Shou did not patiently explain mathematics and geometry to Guan Qiu from scratch like Qi Liang and Deng Xiaodai did in the countryside in the past. He just agreed to borrow the book and then explained it to Guan Qiu. Guan Qiu inspired the construction of a pendulum clock based on the principle of a simple pendulum.
Of course, in his previous life, he had just checked some information on the Internet out of curiosity. On a few random pictures, the things he drew were just like the drawings he had shown the three of them before, and they were in pieces.
Before leaving, Zhang Shou couldn't help but feel extremely complicated when he saw the young man staring at the drawings. Although Taizu should have thought about reform, after all these years, the Four Books and Five Classics still occupy an overwhelming position. You have to step aside, let alone other things. Therefore, the most talented people are all gathered in the official career.
The most important thing is that the dignitaries and wealthy businessmen of this era cannot fund any science and culture - it is still possible for them to fund the poor scholars who are dedicated to governing the country and make a fortune by investing in shipping.
However, in fact, Chinese people have always been very smart. When basic mathematics became popular, starting from the Republic of China, how many geniuses emerged throughout China, and how many top scholars were created? He is not that level, but his mathematical foundation is pretty good Solid, in this case, why not introduce Gurdjieff's physics in addition to Gurdjieff's arithmetic?
In the evening of that day, Zhang Shou, who had caught up with the second class of Jiuzhangtang, finished the class and immediately went to visit Ge's house. He had just carefully asked Ge Yong in the study if he was interested in publishing a set of basic natural sciences. When I was writing the book series, I got a big look.
"Are you done with this kid?" Ge Yong glared at Zhang Shou angrily, with a look of pain on his face, "If you have any ideas, you can discuss them with me, but what inspirations and achievements you have, it's too much to blame them on me as a teacher, isn't it? Don't you want to make progress? In the past, you were an unknown little pawn. I was worried that what you said and the book you wrote would have nowhere to be promoted and no one would care about it. It would be fine if I took the blame."
He paused and his voice suddenly raised an octave: "But now you are already well-known in the capital. If you write a book in a down-to-earth manner and let those who doubt you read it, then Isn't it great? Furthermore, when you gave nature lessons to those at Banshan Hall, I occasionally listened in. It had nothing to do with arithmetic. Who can slander me again for helping you become famous!"
Zhang Shou, who was almost spitted on, finally came to his senses after the initial shock. The mathematics textbook he took out at the beginning was completely different from the previous calculation system. In addition, he was originally a math teacher. He pretended to be an old gentleman and taught students in Cuiyunjian. Thanks to Ge Yong, he lied for him, so later he used Ge Yong's reputation to promote teaching materials, but physics was different.
When Newton was not even born, the knowledge points of those exhausted students of later generations were really unprecedented...
He was silent for a moment, then laughed dryly and said: "In that case, after I write it out, please take a look at it first."
"That's true!" Ge Yong was a little satisfied now, "Although you are the same age as those fledgling boys, you are now the sixth-rank Imperial College student and Zhan Shifu Zuo Zanshan, Doctor of Guozi, author of books Li said that for you, that's what it should be. By the way, I heard that the emperor will take you to choose your consort and guest of honor later?"
Zhang Shou couldn't laugh or cry. He was the one who kept people tight-lipped. Mr. Ge, you must be too well-informed about this information! And the next moment, Ge Yong proudly revealed the answer himself.
"This idea came from my old man to the emperor! You know, Dr. Guozi wanted to go to the imperial court according to the old rules. But because the emperor visited the Imperial College in person last time and said that he wanted to rectify the academic style, so Dr. Guozi has to personally manage the six halls, except for The three major dynasties of Zhengdan, Wanshou and Winter Solstice are exempted from the court gatherings on the other days. There are many people in the court and outside who don't know you, so you have to let them know you!"
By old kid, do you mean someone like you, teacher?
Zhang Shou simply didn't know what to say, and in the end he could only helplessly smile and said: "Teacher, you also said that I will go to such grand gatherings as the official festival and the long life of the winter solstice. Besides, the last time the eldest prince and the second prince were together Didn't the emperor summon me to court for that dispute? When the emperor chooses his future son-in-law or niece-in-law, but you want others to look at me, isn't that putting the cart before the horse?"
"That's what Your Majesty means, why do you care so much?" Ge Yong said with a "Don't be so stingy" expression on his face, and then said thoughtfully, "By the way, after your book is written, you also plan to study it in the Imperial College Promotion inside?"
"No, I hope to promote it from children." Zhang Shou took a deep breath, and then whispered, "The ancients watched the sunset, the stars sink, the flowers bloom and fall, and the river going east, so they calculated the trajectory of the stars and the sowing time. , and even the principles of river flooding, tide timing, etc., these principles of the operation of all things are much easier to learn from childhood than to learn them when you grow up."
"Teacher, you should have seen the Ordnance Bureau's globe. If that is true, the Ming Dynasty today is actually 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 bringing peace to the world, so isn’t this vision too narrow?”
Seeing Ge Yong nodded in agreement, he paused, and then said in a deep voice: "After I write the first book, I plan to give two copies to the third prince and the fourth prince. Their arithmetic progress is very fast. It’s just right to learn these things.”
"Top down!" Ge Yong pointed at Zhang Shou clearly, and then said with dissatisfaction, "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, hmm, maybe we can help you train a few more children in the future!"
Although Ge Yong seemed to say it just as a joke, Zhang Shou knew that the 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 the first place.
Shuicun recognized him as a closed disciple, otherwise, the once turbulent Zhao Guogong Mansion would not be able to bring him the glory he has now.
Therefore, he would of course welcome the most important support from Mr. Ge, the master of arithmetic, who could play the greatest role at any time!
He immediately bowed his head and said, "Thank you very much, teacher!"
"Thank you, no need." Ge Yong smiled and tugged on his beard, and then said in an extremely understated tone, "Qin Tianjian said that the old Ming Dynasty calendar has been used for many years, and it is time to rebuild it. This
No, it’s up to me and Lao Qi, Lao Chu, and we both agreed to help with the calculation. Since you’re here, let’s come together and help tonight.”
Hearing this, Zhang Shou's smile suddenly became unbearable. In the past, he was calculating various ancient and modern arithmetic problems, calculating the flow and diversion diagrams of large rivers, and helping the teacher gradually understand plane geometry and solid geometry... Now this is so high-level.
Let's calculate the calendar... He doesn't want to have anything to do with Qin Tianjian. If he calculates the calendar this time, won't he calculate the solar and lunar eclipses next time?
In modern society, there are several college students who have studied advanced mathematics who can calculate this! He can't do it at all!
Although Zhang Shou struggled to death, Teacher Ge's strength was not easy, so he was finally retained. He had no choice but to listen more, read more and talk less, until Ge Yong was deeply moved by Guo Shoujing's "Time Calendar"
, and then he came back to his senses.
"In the early years of Taizu, he greatly admired Guo Shoujing's "Time-telling Calendar", so at that time the Qin Tianjian changed the time-telling calendar and adapted a "Daming Calendar" to suit his wishes. However, Guo Shoujing was certainly a master of arithmetic, so
He also had outstanding attainments in astronomy, geography and other miscellaneous subjects, but when his calendar was presented to others, it was actually changed to remove the wax and wane of the years."
"In the end, they kept saying it would be added every year, and they kept putting it off every year! It was all the fault of those losers during Emperor Gaozong's reign! Moreover, during Emperor Gaozong's reign, it was strictly forbidden for people to learn calendars, compile calendars, let alone observe the astronomical phenomena without authorization. If it hadn't been gradually over the years,
Lifting the ban, like me talking to you about the calendar here, it’s all forbidden!”
Zhang Shou couldn't help but pick his ears, but he didn't care about Ge Yong's complaints, but suddenly thought of a piece of history.
Although he was not that familiar with the calendar, he at least remembered that Zhu Yuanzhang, who was praised by countless people as the most upright person in the country until later generations, not only had strong political skills but also set strict restrictions in the fields of calendar and astronomy.
Zhu Yuanzhang, like previous dynasties, prohibited folk learning and compilation of calendars, and even banned folk learning of astronomy. And concentrated all the people in charge of astronomy and calendar in Qin Tian Jian. At the same time, it was stipulated that Qin Tian Jian personnel should be lifelong
They are not allowed to engage in other official positions. Even the descendants of Qintianjian officials are not allowed to engage in other professions to ensure hereditary succession. If anyone dares to violate it, they will be sent to the army to guard the border. However, who is willing to stay in Qintianjian for the rest of his life if he is a little ambitious?
You must know that ancient astronomers were generally mathematicians, and astronomy was the first driving force of mathematics. After astronomy was banned, how many people in the entire folk still studied real arithmetic? Even the "Tongzong of Arithmetic Studies" is even greater
Degree is a handbook of practical mathematics.
Mathematicians of the Ming Dynasty did not know many mathematical theories of the Song and Yuan Dynasties. Some famous mathematicians did not know how to take square roots or use Tianyuan to formulate equations. The world of theoretical mathematics was bleak and there were no new breakthroughs...
Moreover, I would like to know that even if the first people in Qin Tianjian were excellent astronomers and mathematicians, their sons must be astronomers and mathematicians? This proposition is just like the son of a top student will always be a top student.
It makes no sense. Therefore, throughout the Ming Dynasty, the calendar of the Qintian Prison was often inconsistent with the celestial phenomena. This phenomenon of a lot of waste in the Qintian Prison even continued into the Qing Dynasty.
It was not until the missionaries came in the late Ming Dynasty, and under the auspices of Xu Guangqi, that the Chongzhen Almanac finally came out. Moreover, this calendar escaped the change of dynasties and was transformed in the Qing Dynasty, appearing in front of everyone as the "New Western Calendar".
"Zhang Shou, tell me, do you need to calculate the accumulated years of the Yuan Dynasty again?"
Zhang Shou, who was distractedly thinking about the evolution of the Ming and Qing calendars, heard this question. It wasn't until Ge Yong tapped him heavily on the shoulder that his thoughts returned to his original position. He awkwardly asked Ge Yong to repeat the question, and then his brows furrowed.
It wrinkled into a big pimple.
Shangyuan Ji Nian... God, he had heard this term when the history elective teacher taught the advanced nature of the "Time Calendar". To put it simply, it is the same as the Western view of the birth of Jesus as the beginning of the AD era. Shangyuan Ji Nian,
Usually, the midnight of the first day of the winter solstice is chosen as the epoch, and this first day must also be the Jiazi day. Then push upward through this epoch to find a moment when the sun and the moon join the wall and the five stars are connected, as the Shangyuan. Shangyuan
The interval between the years when the calendar is compiled is called accumulated years...
Well, he, who has always been extremely sensitive to numbers, does not remember the algorithm, but he still remembers that Liu Xin, the strongman in the Western Han Dynasty who was the first to introduce this algorithm, calculated Tai Chi Shangyuan to be a terrifying number - 23639040...
He remembered that when he was young and frivolous, in order to show off, he memorized a lot of side knowledge, and used this number to trick real academic masters...
At this moment, Zhang Shou, who was anxious and wise, immediately shook his head and said: "Don't take out this kind of thing that Guo Shoujing has long thrown into the pile of old papers. It's just that when you want to compile a new calendar, you don't just have to calculate it. I remember.
According to the history books, Guo Shoujing compiled and taught time calendars, tested them all over the world, and sent people to 27 places in the world to measure images. Now we really need to compile a new calendar, at least this is the case, right?"
Seeing that Ge Yong's face turned slightly bright, Zhang Shou knew that he had hit the point, and fearing that he would be caught counting these things that made him completely crazy, he said sternly: "In the Tang Dynasty, the calendar was compiled, and the monks and others also sent people to do it.
There are 13 observation places in the world, and there are 27 places in Yuan Dynasty. If we want to compile a new calendar, we should naturally do the same. Only by measuring first and then calculating can we be accurate!"
He paused for a moment and then said word by word: "This is the responsibility of Qin Tianjian. Teachers and Mr. Qi and Mr. Chu are not in their positions and do not plan their affairs. They can make suggestions, but they should be allowed to actually do it."
Go ahead, otherwise it will be pointless to cause resentment in the future!"
After presenting the facts and reasoning, Zhang Shou finally persuaded Ge Yong. He first asked the people from the Qintian Prison to write a letter begging the emperor to set up observation points in the world, and then talked about changing the calendar. He successfully escaped from the Ge Mansion, and then wiped the faint traces.
Sweat on the forehead.
The calendar is a trap. If Ge Yong really forces him to calculate in the future, he will have no choice but to throw out the Gregorian calendar... But with this kind of leap year every four years, three leaps are removed in four hundred years, and the error will only be one day in three thousand three hundred years.
To simply refine the algorithm, he had to think carefully about how to explain its origin and theoretical basis to people.