Originally, he only wanted to come up with a simple topic, and Tang Yi was ready to be ridiculed at the beginning of drawing the triangle, but when time gradually passed, he realized that something might be wrong.
The Pythagorean theorem may have been known in detail in the original world, and because it was so common, he felt that it was quite simple.
However, after about two hours had passed, looking at the frowning brows of the old and the young, he suddenly remembered another name for this theorem.
Pythagorean theorem The sum of the squares of two right-angled sides is equal to the square of the hypotenuse, which is admittedly simple to say, and in a world where only schoolchildren know how to use it as a primitive formula for inference and calculation.
However, without this foundation, how difficult it is to prove it, which is something that the great mathematician Pythagoras spent his efforts to prove.
Thinking of this, he couldn't help but feel a little embarrassed.
It's too bad for me to make things difficult for others like this Using the juice as a cover, he hid behind the teacup and laughed secretly.
This is already the fourth cup, and the time is indeed a little late, I promised Xiaoxue that she would go back soon, presumably she has been waiting to worry.
The atmosphere in the room was a little tense, the warm magic light illuminated the luxurious furnishings on the four walls, the old and the young did not speak, and were burying their heads on the table to solve the problem, the noble lady named Catherine first looked at it with interest, and then saw it for a long time and the two of them did not solve it, and she was also curious to think about the "simple" deduction problem, she had no foundation in this area, so naturally she could not enter the door, but just took a quill and scribbled on the parchment.
Seeing Tang Yi suddenly stand up, several people moved their eyes to him.
"Uh, you guys think about it slowly, the answer is five, my wife is still waiting for me, I'm sorry, let's go first."
He saluted and wanted to leave, but Christina grabbed him: "No, this problem is so difficult, I can't solve it."
Don't leave yet, I'll tell me how to prove it later. ” The old man also said: "This time the bento is a good draw, but, young man, is this really a topic that can be deduced?"
Hearing that his tone was full of doubts, obviously thinking that there was no solution to this topic, Tang Yi coughed twice, and was slightly dissatisfied in his heart, this old man looked down on himself from the beginning, so it was okay, at this time, he had to hinder his time to go back to see Xiaoxue.
Pick up a quill and drop it on the parchment.
However, when the first stroke was made, he felt that something was wrong.
Yes, the Pythagorean theorem itself is used a lot, but where does its proof come from?
I was worried, but where could I retreat at this time, anyway, I always have more proof methods than there are people here.
While explaining in his mouth, he drew the auxiliary lines one by one.
Then, fail, and fail, and fail, and start again After repeating this for a long time, Tang Yi felt quite embarrassed, but Christina's eyes widened more and more, and Old Man Stanley's expression became more and more solemn, and finally, when a long breath was relieved, the great theorem that the sum of the squares of the two right-angled sides is equal to the square of the hypotenuse finally appeared, and then sixteen plus nine were opened again, and the result was finally proved.
"Ah, I haven't proven it for a long time, it's a little rusty.
I really didn't expect this to be so difficult to prove," he turned his head to look at the two people beside him, "uh, what's wrong?"
"No, it's nothing," Christina stared at him through her big glasses, with a look of adoration, "yes, so powerful, I haven't thought of many ways to do it."
"Haha, it's okay" Tang Yi smiled embarrassedly, and then jumped up, "Oh no, it's late, Xue'er must be worried."
Lady Catherine, Mr.
Stanley, is really leaving, sorry. ” "It's nothing, I'm sorry to have delayed Mr.
Rezadke so much.
Christina, send Mr.
Rezaduk down. ” "Al, come with me."
Christina said, took Tang Yi's hand and ran out the door, leaving the old man Stanley still staring at the pile of parchment.
After a while, Catherine said, "Mr.
Stanley, is that Al really good?"
"Of course, of course."
After shaking his head for a while, Stanley let out a burst of exclamation, "Judging from the derivation methods he used, his erudition is far above mine, it should be said that he is far beyond Atroca's current level, genius, really genius."
After all, such an old pedant still has his merits, and in the same field, when they meet more knowledgeable people, they will also have the courage to admit their own shortcomings.
The lady named Catherine frowned, she also saw that Tang Yi did have some skills, but she didn't expect to be admired by Stanley like this.
"By the way, what kind of child is this young man, who can have such a high level of erudition, he must be from a good background" After admiring for a while, Stanley remembered to ask him about his background.
Lady Catherine shook her head: "According to himself, he is not a nobleman, but it is estimated that it is unlikely, ordinary people will not have such a good temperament, it is estimated that he is the widow of a certain family."
Is he really that powerful" What she guessed was not much different from what Sophia had guessed at the beginning, most of them thought that this person was a noble heir who had committed something and hid, and there were not many similar things in these years.
"Just by looking at the method of his deduction, we can know that he is not only highly attained, but also deduces it on the spot, which shows that this is not taught by man, and if such a person is not a genius, I really cannot find anyone who can compare with him."
The old man sighed, "I started studying erudition twenty years ago, and I thought that I should be one of the best in the empire, but now I know that I am too arrogant, to be honest, in fact, Her Royal Highness the princess has always been a little unimpressed with my change to erudition."
"Catherine is no longer a princess, so don't call her that anymore.
What's more, the teacher suddenly changed to erudition after reaching the peak of alchemy, naturally there is a reason for the teacher, if she really doesn't think so, Catherine will not ask the teacher to teach Kna specifically. ” "Hehe," the old man smiled, "Katherine, I don't know your character, even if I don't think so, I'm afraid I won't say it, teach Kna just because she likes such games."
Speaking of which, alchemy does have to be combined with erudition to have the possibility of reaching the peak, but compared to the alchemy that has been developed for thousands of years, the foundation of erudition is still too low, and I am afraid that I will not see the results of the fusion of the two in my lifetime, since Kna does not like to let me, an old man, teach her, Catherine, you may try to ask that young man to be her teacher, it should be better than me. ” Behind the veil, Lady Catherine laughed, "It seems that Kna has caused you a lot of trouble these days. ” "Hehe, trouble is a trivial matter, but in this regard, Kna does have a considerable talent, right, the thing you asked me, I thought about it, or let me tell you, the main reason why I went to Danma this time is because Elvis came to look for me, although I don't know what it is, but, according to him, it seems that they have found an ancient alchemy fruit, so they invited me to study it together."
"Ancient alchemy results" Catherine thought for a moment, "Didn't Elvis say what it was?"
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The old man shook his head: "You also understand, this kind of thing is quite secret, once you join in, it will be difficult to get out, I originally didn't want to join in, it just so happened that your Kna came to Wanghai, and I remembered Elvis's expression at that time, and I was always uneasy in my heart, so I planned to leave for Danma to find out about the situation."
In this way, there will be some time to meet old friends there, but once I participate, I don't think there will be many opportunities to teach Kina there, so" "Teacher, you have to be careful."
This sentence was blurted out by Catherine, and the old man smiled: "Don't worry, it shouldn't be a big problem, no matter how powerful the family is, they don't dare to do anything to me." ” He made a noble salute and withdrew from the door: "Even though the title has changed, in my heart, Her Royal Highness the Princess has always been the same as Her Royal Highness the original Princess."
From the standpoint of an old man, Your Royal Highness Princess, please grasp your youth. ” "Thank you teacher for your concern, Catherine took it to heart."
The door closed gently, the figure of the old man disappeared outside the door, Catherine sat on the chair beside her, and after a while, lazily picked up the necklace and bracelet on the side, imitating Tang Yi's magic movements, but let out a low sigh in her mouth.
"Teacher, it's not that I don't think so, it's just that you have ever thought that any improvement in skills, the first thing you use is always killing."
In the sound of "plop, plop", the little girl with big glasses pulled Tang Yi and ran down the cabin, and only stopped when she reached the lower deck.
"That's amazing, so powerful, Al, you're so much more useful than the old man," she clenched her little fists with both hands, and small stars clearly flashed behind her big glasses.
Tang Yi smiled: "Don't talk about people like that, that's the real person with real talent, I'm just blind, it's so late, I have to go back, you go up and sleep."
Children need time to dream. ” "I said that people are not that small" Christina clenched her fists and jumped up in protest, and then trotted all the way to follow Tang Yi, "Hey, Al, this way, will you be my teacher."
That's it, I'm going to tell my mom, she'll say yes. ” "Don't mess around, I'm really blind, didn't you see that I did it for a long time to make that question, I'm really blind, I can't be your teacher."
"But we didn't make it, didn't you see the old man's expression, oh oh oh so frustrated, so embarrassing, haha, let him know that it's amazing" "It's blind.
Kids, stop messing around, goodbye.
He opened the cabin door of the cabin where he lived, and then closed it with a "snap", and the little girl rushed up and wanted to push it open, but she heard a noise inside, and Tang Yi had already lowered the latch.
"Stingy" She pushed twice outside the door, and when to no avail, she clenched her fists and shouted, and went back upstairs in a huff.
"What a quirky little girl" shook her head, Tang Yi looked at the bed on the inside of the cabin, because when she saw him come back, Xiaoxue sat up from the bed in surprise, her upper body was not wrapped in a quilt, and she suddenly revealed a white and delicate body, seeing that she still wanted to get up from the bed like that, she hurriedly rushed over and wrapped her in the quilt: "Why do you get up, aren't you cold" Knowing that Xiaoxue was slow to feel this aspect, he had always been very distressed.
"Yes, it's a little cold."
Seeing Tang Yi's expression, Xiaoxue shrunk her body wrapped in the quilt and said timidly.
"Then you're still running out" "People are worried about you, you, you said you would come back soon," Xiaoxue said with a face full of grievances.
"Well, I'm sorry, it's me who is wrong, but let me see if you've washed it well," he put his head on Xiaoxue's neck and sucked softly, and there was a shy chuckle in the room, and after a while, the lamp and candle placed at the bedside went out, and the room fell into a warm and infatuated atmosphere.
In the silence of the night, the Silver Pit Viper sailed peacefully in the direction of Danma through the mist that shrouded the Irun River, and after a while, a dark shadow flew from the back of the ship, brushing over the quiet side of the ship, and the elf-like woman stretched her dragonfly wings, cut through the water, and galloped towards the west.
The next day, the originally gloomy weather began to clear up, and Tang Yi and Xiaoxue didn't dare to go out in the cabin, because as soon as they saw him, those fellow guys clamored for him to perform a show.
Originally, it didn't matter to herself, but Xiaoxue was still a little scared in such an atmosphere, so in order to avoid trouble, she simply hid in the cabin all the time.
However, after noon, the little girl named Christina came to the door again, this time she had the momentum of not being able to give up, and she kept banging on the door with her hand outside, Tang Yi was a little afraid that her hand would be broken.
In desperation, he had to open the door and go out, but this time Xiaoxue was unwilling to leave him, and took his arm and followed.
Speaking from her heart, although Christina is a little lively, she is definitely cute, perhaps because of this, Xiaoxue does not reject her very much, because in this way, Tang Yi is also willing to do Christina a favor again, because according to her, as long as Tang Yi goes to see the old man Stanley again, maybe he can give up being her teacher.
She said vaguely, but Tang Yi naturally understood the meaning.
As long as he compares Old Man Stanley again, he will have no face to be Christina's teacher again, but he may not really understand the things in this world, and most of the topics he comes up with are not understood by himself.
Thinking about it like this, I gladly agreed.
When I got to the second floor, it was still the same room as yesterday, and the guard at the door asked to remove the saber from Xiaoxue's body, but Xiaoxue refused to do anything, Christina didn't care about these little things, but the guard still didn't allow it, and didn't let it go until the little girl went in and asked her mother.
When they entered the room, Catherine and Stanley were already waiting inside, and Mrs.
Catherine was still wearing a long gray dress, and Stanley was no different from yesterday's dress, but his eyes were much softer.
"Lady Catherine, Mr.
Stanley, this is my wife Xue'er, she has always been more timid, she doesn't greet people, I hope not to be surprised" Xiaoxue couldn't understand everyone's words, and Tang Yi could only find this reason to perfunctory.
Everyone said a few polite words, and Stanley immediately cut to the chase.
"I asked Mr.
Resaduk to come up this time, because I have always had a difficult problem and I want to ask for advice."
The old man seemed to be a scientific maniac, and he didn't have much politeness, so he directly pulled out a few pieces of parchment that had been prepared for a long time: "Actually, it's such nine squares, and what is required is to fill in the numbers from one to ninety-nine, and finally make the horizontal and vertical numbers consistent with all of them, I don't know if Mr.
Rezadke is involved in this kind of thing."
At this time, the erudition system was not yet perfect, and often people who knew the topics on the one hand did not understand the other at all, and the old man seemed to have prepared a number of questions, and it was still the first one.
However, Tang Yi knew about this question, and as soon as Stanley put the parchment on the table in front of him, Tang Yi murmured: "Nine Palace Diagram." ” Such a question was too simple for him, and since he had already promised Christina, he had to do his best in principle, and immediately took up a quill and filled in the answer.
Although the characters in this world are different from Chinese, the numbers and punctuation marks are similar, and he would have figured it out a long time ago, otherwise he would not have been able to prove it yesterday.
Watching him fill in the nine squares casually, Stanley's expression was quite "shocked", and then he frowned and took out a chart with four horizontal and vertical squares, a total of sixteen grids, this time without saying much, Tang Yi filled in the numbers from one to sixteen again, and the horizontal, vertical, and diagonal numbers were still the same.
Stanley's gaze became more serious, and his hand trembled slightly as he pulled out another piece of parchment, this time with twenty-five spaces in both horizontal and vertical directions.
This time it was a little troublesome, Tang Yi took the quill in his hand and thought for a while, Xiaoxue was bored, walked from the seat next to him and sat down in his arms, Tang Yi smiled and hugged her tightly: "It's okay, it'll be fine soon." ” Their behavior did not cause displeasure to others, and the cultivation of nobles has always been careful not to be alarmed, not to mention that it is not a big deal, so Lady Catherine did not have any strange expression.
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Since the matter was related to herself, Christina took Tang Yi's hand and whispered, "Hurry up."
Stanley stood in front with a nervous expression, bowing slightly, and his eyes followed the quill in Tang Yi's hand closely.
After a while, I saw Tang Yi drop the tip of his pen and fill in the twenty-five numbers one by one.
Stanley began to tremble.
"Genius, genius" I saw him muttering, his hands trembling and holding the parchment, "I can't imagine that it took me nearly five years to solve this problem, I thought that no one would be able to solve it, I can't imagine it, Mr.
Rezaduk, you see, I have a conjecture, if twenty-five squares can achieve such an effect, then thirty-six or forty-nine squares can be done."
This time, honorifics were already used in his language, and Tang Yi smiled embarrassedly: "It's indeed possible, the magic square has a regularity, even if it is 10,000 horizontal and vertical grids, it can achieve such an effect."
You see, are there other topics, hehe, I actually only understand this kind of thing, other aspects" He thought that Stanley would give him a few questions that he didn't understand at all, but the old man interrupted him, and his expression was respectful: "You call this the magic square" "Ah, that's what I call it.
Including odd-numbered magic squares and even-numbered magic squares, but I actually don't know much about these things, and it will be very troublesome to talk about Mr.
Stanley, do you see if there are other problems" He is only at the level of mathematics in high school, because too many things have been imposed outside the classroom, so he has only dabbled in the course of the magic square, and it is not modest to say that he knows only half of it.
The old man immediately shook his hand.
"No, no, no, with Mr.
Rezaduk's erudition, I'm afraid that no one in the entire Atroka Empire is qualified to give you questions, and my attitude in the past few times is really disrespectful, please forgive me."
Tang Yi didn't have an overly high opinion of himself, so naturally he couldn't talk about being angry, but he was embarrassed to see his respectful attitude at this time.
Christina had already shouted: "Look, look, old man Stanley, you lose, see if you want to be my teacher in the future" "Don't be rude to Teacher Stanley, Kina," Catherine stopped her softly, then turned to Tang Yi, "I didn't expect Mr.
Rezaduk to have such a high level of attainment in erudition, and I was disrespectful. ” "Oh, it's nothing, in fact, I know very little about it, but I just happen to know these things, and I don't pay much attention to it.
I don't know most of the things that Mr.
Stanley could know.
Madame has won the prize. ” "Well, since there is such a presumptuous request, I hope that Mr.
Rezaduk will be able to be Kina's erudite teacher, I don't know what Mr. thinks."
In fact, Tang Yi expected that there would probably be such a consequence just now, and as soon as she said this, Christina immediately cheered beside her: "Okay, okay, Al, you promise to come down, promise, please, agree."
To be able to work as a teacher in such an aristocratic family, there must be a good salary every month, and you don't have to go out to make money by performing arts, which is much easier, but "Well, I'm sorry, I don't think I can say yes," he thought for a while, and a wry smile appeared on his face, "I've never been a teacher, and I've learned a lot of things, and if I really want to teach, I don't know where to start; Two, two."
Under the gaze of several people, he said a reason that no one believed with a difficult face.
"Second, I can't read":