From ancient times to the present, there have been thousands of geniuses who have studied Euclidean geometry, and countless of them have succeeded. According to the qualifications of modern professors, the number of masters of these achievements can meet the needs of the entire Chinese academic community.

However, the most famous of the results derived from the foundation of Euclidean geometry are two bulls who went in the opposite direction, Lobachevsky and Riemann, who established the edifice of "non-Euclidean geometry".

The word "curvature" that often appears in science fiction comes from Riemannian geometry, and in fact, Einstein's tool for describing curved space is also Riemannian geometry, but the source of their ideas is incredibly simple.

It was the constant suspicion of the fifth public assumption of Euclidean geometry that gave birth to non-Euclidean geometry.

In order to prove the parallel theorem by the method of counterproof, it is necessary to deny the fifth theorem of Euclidean geometry in the problem and try to prove it wrong - to the embarrassment of many people, when the problem starts to work, a large number of new theorems are derived, but they cannot return to the problem to prove that the parallel theorem is correct, so a group of people who believe in Euclidean geometry go further and further down the road of anti-Euclidean......

However, non-Euclidean geometry is a matter of the 19th century, and Cheng Jinzhou does not believe that a small first-class star warlock can solve a 19th-century problem on the basis of the 17th century.

Xiang Xin waited quietly beside him, and when he saw that Cheng Jinzhou didn't speak, he took out the scratch paper he was carrying, and spread it out page by page, all of which were used to counterprove the parallel theorem.

It was useless to think about it, Cheng Jinzhou took a breath and leaned over to look.

His Excellency the Star Warlock, dressed in a gray-black robe, looked a little uneasy.

To those who don't know, this may seem like a rather peculiar thing. The arrogant star warlock shows his lack of confidence in front of an ordinary person, and this kind of thing often only appears in romance novels......

Cheng Jinzhou watched while using a quill pen to occasionally calculate on the side, in exchange for another research-type doctor, the classic proof of 3oo years ago, what answer should be obtained, he has long been familiar with it, he can't do it anyway, and now he has to do it himself.

Fortunately, what I only looked at was elementary geometry and very little knowledge of advanced geometry, so that Cheng Jinzhou would not be able to start.

Scratch paper is about 5o pages thick. Xiang Xin has much more knowledge than in Euclid's time, standing on the edge of modern mathematics, she can also look at the problem with a more advanced vision, in the beginning stage of the counter-evidence, all kinds of inferences are used very well, when looking at the first 2o pages, Cheng Jinzhou's uneasiness is increasing with the times.

However, he soon relented.

Because Xiang Xin began to use speculative sentences to make descriptive statements.

She had no contact with calculus at all, and she only used the concept of limits hundreds of years ago, and she would not succeed if she was exhausted.

Cheng Jin breathed a sigh of relief - God is pitiful, damn history, will not change because of a certain butterfly's show-off, if there is no world-leading scientific thought, no matter how many books there are, he can't fight these intelligent star warlocks.

Xiang Xin was a little misunderstood, seeing that Cheng Jinzhou raised his head in the place he was most worried about, his whole face flushed with shame, and he said: "The back should have been removed, but I want you to guide one or two......"

Although Xiang Xindu has asked Cheng Jinzhou for advice these days, he has never said anything such as "seeking advice" and "guidance". As a genuine star warlock, she is much higher than Wu Zong's status as a "enthusiast", and while enjoying the authority and benefits of the star warlock, she also has an unshirkable responsibility, including maintaining the image and dignity of the star warlock.

is willing to bow his head and say the word guidance, at least it shows that Xiang Xin recognizes Cheng Jinzhou's ability. If it weren't for his own experience, Xiang Xin himself would not have believed that there was a 13-year-old boy who had the mathematical knowledge of a first-class star warlock.

But when she lowered her head, her heart was much lighter.

Cheng Jinzhou didn't understand the twists and turns, and hesitated slightly: "The angle you chose was not wrong, but you chose the wrong target." ”

"The goal? You mean the parallel lines that I should have assumed a little first......" Xiang Xin suddenly said the specific content.

Cheng Jinzhou shook his immature face, shrugged his shoulders and said, "With your current knowledge reserves, you can't get the answers you want, you should try simpler questions first." ”

Xiang Xin's face suddenly turned red, and the person suddenly stood up, and after standing for a while, he said, "Are you saying that I am not qualified to do this problem?" ”

If it was a native of the Great Xia Dynasty, he would have collapsed long ago if he was questioned like this by a star warlock. Cheng Jinzhou just frowned and said: "There are many problems that you are not qualified to do, and your attitude at the moment is not qualified to do such a problem in this life." ”

"I ......" Xiang Xin also understood, knowing that she was in the wrong temper, but to apologize to Cheng Jinzhou, she couldn't save face, and she was in a stalemate, so she simply grabbed the door.

Cheng Jinzhou shrugged his shoulders and put a big stone on his chest.

If you continue to teach, this Xin may really touch a little edge, and then it will be much more troublesome. This star warlock, who resembles a little nun, is one of the most outstanding geniuses Cheng Jinzhou has ever seen, only spent more than a month studying, and then almost independently came to the conclusion that this level is extremely good in any university in the 21st century, but Cheng Jinzhou would rather believe that Xiang Xin is because he is in an era of scholars.

In fact, in the seventeenth and eighteenth centuries of the history of the earth, it was precisely because of the rapid development of modern science that so many geniuses were born - and only in the early years of the twentieth century could the elements of genius be compared.

A gust of wind blew the half-open window, and a few drafts on the table were also blown to the ground, revealing the outermost of the continuous calculations of a series of limits.

Cheng Jinzhou stared at these handwritings representing the prototype of calculus for a moment, pushed the door open suddenly, strode out of the courtyard, and took a deep breath.

The air smells of giants.

……

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