Although Zhang Shou had always been required to answer questions on the blackboard while explaining at the same time, at this moment, even though the blond boy wrote a long list on his own, the oral explanation only had a few words, but he looked down and was stunned.
None of the students remembered to question, they were all stunned by the young man's complex formula references and the series of beautiful calculations in italic letters.
How could such a foreign boy, who had only come to audit before, be able to solve this kind of geometric proof problem with ease? This is simply unbelievable!
The blond boy who put down his pen and turned around to clapped his hands, his face was also full of excitement and joy. He quickly came to Zhang Shou, grabbed the other's hand and shook it vigorously: "That's amazing, Bachelor Zhang
You are really amazing! I didn’t expect you to be really proficient in geometry! Have you read the original version of "Σtoixe?a", right? Do you know Latino too?"
It has been discovered that this blond boy has a habit of mixing Italian and Greek words when he is excited. Zhang Shou is very calm at this moment. You must be considerate, he does not burst out a long list of Italian words.
English or Tuscan, this is already very good. And it can be seen that this is a Florentine naughty kid with some mathematical skills.
Therefore, even though he had seen the Third Prince and others outside the door, he did not blink an eyelid, and remained calm and calm, as if Mount Tai collapsed in front of him without changing his expression. Of course, Mount Tai did not collapse, and he did not need to change his expression.
Because at this time, this kid who obviously has extraordinary talent felt that he knew everything, it was just a trivial matter.
""Σtoixe?a"... This word is so difficult to pronounce, my tongue is almost stuck." After laughing at himself, he shook his head and said, "Of course I can't read the original version, I'm only seventeen.
Years old, a person from Gyeonggi Province, I have never even been out of Shuntian Mansion in my life, let alone your distant hometown."
Although he didn't fully understand Zhang Shou's words, the blond boy still understood the core meaning. He suddenly showed a disappointed expression. He had listened to Zhang Shou's class before, and he couldn't understand the unheard terms at first. In addition,
There was no textbook, so he felt a little bored. However, when Zhang Shou started to explain the questions using blackboard writing, his boredom suddenly turned into surprise.
Although many of the symbols and letters Zhang Shou wrote were different from what he knew and their pronunciation, the sense of familiarity was undeniable. And after Zhang Shou finished a topic on the blackboard, he became even more familiar.
He couldn't hold it back anymore. Because this happened to be a similar calculation that he had seen on the desk of a certain scholar when he followed his father to visit him!
Therefore, after Zhang Shou finished explaining the problem, he couldn't help but raise his hand to indicate that he had another calculation method, and then went up and calculated it again. Although he looked at the length, he felt that it was more cumbersome than Zhang Shou's writing.
Many, but the excitement of meeting fellow travelers in a foreign country outweighed everything.
But now, his mood has fallen from the peak to the bottom. The young bachelor in front of him actually said that he was only seventeen years old and had never left here. Then, the possibility that the other party knew Greek was very low. He had read Euclid
The possibility of Reed's original "Σtoixe?a" is even lower. After all, it was here that even he saw the Latin text collected by his father.
Perhaps, this Academician Zhang has just read a lot of books, or had a very knowledgeable teacher, so he knows "Σtoixe?a" and only knows about Caesar and Octavian... Alas, after all, he still put "The East"
I think it's too simple.
And just when he was dejected, he heard a faint voice coming from his ear: "Also, please let go, remember, here, in the capital of the Ming Dynasty, facing people with a higher status than you,
If you grab his hand casually, you will most likely be identified as an assassin. I don’t think you would be so reckless when facing those officials and nobles in your hometown, right?"
The blond boy hurriedly let go of his hand and took a step back, and then he wanted to apologize. But at this moment, he glanced around uneasily and finally saw the people outside the door. At first glance, those people were not even old.
They were too big, and most of them were similar to the students sitting there, but the child in the middle was obviously younger than him, and his clothes were different from the others.
Being very good at observation, he vaguely felt that these people seemed unusual, and he forgot to apologize because of this. And his rude direct gaze immediately angered a certain attendant behind the third prince. He was almost indifferent.
He stood up without hesitation and scolded: "How dare a foreigner from a foreign country be so rude in front of His Highness the Crown Prince!"
Is this the prince of this big Eastern country? So small? No, no, in the future this incredibly large country in the East will be inherited and ruled by this prince? This country is many times bigger than Florence. This prince’s
How many times more powerful than the Medici family?
Such a question was swirling in his mind, but the blond boy finally lowered his head and raised his hand, then raised his head calmly: "I don't know His Highness the Crown Prince, so I'm rude. I have also heard people teach you something about Huayi."
Don't... I'm sorry, this word is hard for me to pronounce, but since we are China, shouldn't we tolerate the foreigners?"
Lu Sanlang, who arrived last, happened to hear the last words of the blond boy. He couldn't help it, and burst out laughing. Especially when he saw the face of the attendant who wanted to show off in front of the third prince turned red.
It looked like blood, so he coughed and joked.
"I don't know His Highness the Crown Prince, so what's the point of taking a second look out of curiosity? The barbarians don't know etiquette. In the past, when envoys from foreign countries came over, Honglu Temple had to send someone to teach them! Even so, the Great Court Meeting
How many people couldn't help but look up at the Holy Face?"
The little fat man walked up to him as he spoke, and was about to hint to the third prince to comfort the blond boy. However, he did not expect that the third prince, who had been staring intently, suddenly turned his head stiffly, and said in a dry voice: "Lu
Senior brother, look at the blackboard. That is a question he just solved."
"Huh?"
This time, Lu Sanlang finally stopped joking. He walked directly into Jiuzhang Hall, came to the blackboard in full view of everyone, and watched the problem-solving process on the blackboard attentively. For a "second-year" self-study student
For him who is extremely fast, he has almost finished learning plane geometry, and it is no problem to understand this fairly basic isometric problem.
But because he was very familiar with it, when he saw the dense problem-solving ideas, even though he realized that this solution was very complicated and some steps were even unnecessary, he still couldn't help but murmur.
This boy is not the third prince... His Royal Highness is very talented in arithmetic, and he is willing to work hard. Most importantly, he has "New Edition of Gurdjieff's Arithmetic" as a reference textbook, and he was personally tutored by the emperor. But this boy is just
It is said that a young man from a small Western country, who is still the son of an outsider, can understand this question so easily? This is unscientific!
However, this also proves another thing. Under the recommendation of Zhang Shou, the founder Ge Yong gradually began to use Arabic numerals and a complete set of symbol systems from the West. Much of the knowledge in "New Edition of Ge's Arithmetic" is better than that of Nine
Chapter arithmetic and so on should be intuitive and concise, or simple and easy to understand... So, it is true that some of the things they are currently studying in Jiuzhangtang Middle School came from Fanbang?
Zhang Shouna’s teacher, who has always been secretive, or did the teachers really travel overseas?
Thinking this in his heart, Lu Sanlang, who had watched the entire problem-solving process, slowly turned around and gave the blond boy a thumbs up with a smile on his face: "Not bad, not bad. I heard Eunuch Chen say before that there would be something like this
A person came to help translate those arithmetic classics, but after hearing about your age, I thought you were just making up the math, but I didn't expect you to be a bit of a real scholar."
Although the blond boy could only understand about half of what Lu Sanlang said, he could at least tell that others were praising him. Therefore, the boy's face showed a bit of excitement and pride, so Xian Bian did not say anything.
When I was visiting a certain Florentine scholar, I was lucky enough to read the manuscript posted on the wooden board by him several times, so I secretly learned a little bit.
He straightened his chest and said in an extremely confident tone: "I have been studying on my own. Of course I can do this kind of question!"
Seeing the third prince's eyes twinkling and seeming to be very interested in the blond boy, Zhang Shou couldn't help but smile secretly, thinking that His Highness the Crown Prince, who seemed calm but actually had a heart to escape, shouldn't take people to the East Palace on a whim and just treat it lightly at the moment.
Said: "Since you have solved this question, then try these two questions again."
Zhang Shou casually recruited two students to clean the blackboard. After they wiped the blackboard clean with great effort, he picked up a pen and started writing quickly on the blackboard.
In a moment, two questions with graphics appeared under his pen. At this time, he clapped his hands and nodded slightly to the blond boy with a bright smile.
This time, Lu Sanlang, who saw the whole process of Zhang Shou's question creation, couldn't help laughing.
For him, who has memorized all the axioms, theorems and various corollaries of plane geometry, the proof process for these two questions is a little more complicated, but as long as he grasps the key ideas, the problem can be solved easily.
However, based on what he saw the proof process of the blond boy just now, he thought that the key idea might be found by relying on intuition and sensitivity, but the two most critical theorems and a corollary used to solve the problem may not be known to the other party.
.As for asking him why he knows this...it's very simple. Just look at the tedious problem-solving process this kid just went through.
Therefore, Lu Sanlang calmly and gently pulled the third prince who wanted to speak, and looked at the young man with blond hair standing in front of the blackboard solemnly. For a long time, he only wrote down when he saw anyone.
He stopped after three lines of writing and immediately fell into deep thought. He didn't even try to solve another question next to him. He glanced at the other attendants accompanying him.
At this time, he discovered that several people from Jiuzhangtang were whispering, and the topic of discussion was not that someone was overestimating his abilities, but the difficulty and ideas of these two questions, while the two attendants from Banshantang were talking about it.
While they were chatting about which small country the person came from, the two men from the Imperial College were actually sarcastic in private.
Especially the one who criticized the blond boy with righteous words before sneered indignantly: "Does a boy from a small foreign country actually think that he is a mathematical genius like His Royal Highness?"
Another person quickly echoed: "He doesn't even look in the mirror! Is he able to easily get involved in such a profound field as arithmetic?"
Tsk, tsk, tsk... Even though Lu Sanlang has put away a lot of his sarcastic side now, especially in front of the attendants at Ciqing Palace, he still couldn't bear to hear these two people saying such things in harmony.
He raised his eyebrows and said, "Hey, when did arithmetic become an esoteric field? I remember when you were struggling in arithmetic classes, you didn't think so."
"His Royal Highness the Crown Prince should not spend too much time on such strange tools and ingenuity; no matter how good your arithmetic talent is, it will not be beneficial to running the country. What is the use of us learning these things! Isn't that what they say?"
To hit someone without slapping someone in the face, to expose someone without exposing their shortcomings, for the two servants who came from the Imperial College and have always agreed with this statement, what they said in private was exposed so mercilessly in front of the third prince.
The embarrassment is really no small matter.
The supervisor who had just rebuked others for not looking directly at His Highness the Crown Prince reacted almost instinctively: "Lu Sanlang, what do you mean? When did the two of us say this? Don't make it up randomly.
!”
If you still insist, then show us the evidence!
Seeing that the person's frightened and angry expression with stern inner remorse seemed to reveal such a meaning, Lu Sanlang immediately laughed and said: "Ah, so you didn't tell? Tsk, that's the person who snitched behind the scenes. That's too much.
Well, that’s because I made a mistake, so I’ll apologize to you...but remember to pay attention to your homework later.”
"After all, His Royal Highness the Prince, who is extremely talented, has studied hard. The arithmetic that you say is so profound is not worthy of your hard work, right? Don't be outdone by the foreign boy you call me!"
Although Lu Sanlang really bowed his hands as an apology in a decent manner, the two supervisors and attendants couldn't help but look livid. It took a long time before one of them could hold back a sentence: "That's natural, but other
course……"
"As an Attendant of the East Palace, since I am studying for the Prince in Ciqing Palace, you cannot be scornful of other courses."
Zhang Shou immediately interrupted before anyone could finish speaking. He glanced at Lu Sanlang angrily and touched his nose when he saw someone slapped him. He really wanted to say that you killed the enemy by one thousand and suffered eight hundred at your own expense. It seemed like
You seemed to be studying hard in other classes. But the next moment, he suddenly noticed something. When he looked back, he saw the blond boy writing something in the corner of the blackboard.
When he looked at it again, he found that the person was actually trying to prove that equilateral sides are equivalent angles, and then applied it to that question. After being slightly stunned, he realized that the person had not read through Euclid's "Euclidean Law" at all.
"Elements of Geometry". He strolled forward and gently pressed the young man's hand that was trying to write down the proof process: "Okay, that's enough. Now I roughly know what your arithmetic skills are like. Don't worry, I