future library.

Chapter 47 Parallel Axiom (2)

From ancient times to the present, there are thousands of geniuses who study Euclidean geometry, and countless of them are successful.According to the qualifications of modern professor selection, the number of masters of these achievements can meet the needs of the entire Chinese academic community.

However, among the results derived from the basis of Euclidean geometry, the most famous ones are the two masters who went against the grain, Lobachevsky and Riemann, who built the "non-Euclidean geometry" building.

The term "curvature" that often appears in science fiction actually comes from Riemannian geometry. In fact, the tools used by Einstein to describe curved spaces are also Riemannian geometry, but the source of their ideas is simply Unbelievable.

It was people's continuous doubts about the fifth postulate of Euclidean geometry that gave birth to non-Euclidean geometry.

In order to prove the parallel theorem by contradiction, it is necessary to negate the fifth theorem of Euclidean geometry in the problem setting and try to prove it wrong-to the embarrassment of many people, when the problem starts to work, it follows that He came up with a lot of new theorems, but he could not return to the problem and prove that the parallel theorem is correct, so a group of people who believed in Euclidean geometry went further and further on 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-level astrologist can solve a problem of the 17th century on the basis of the 19th century.

Xiang Xin waited quietly by the side. Seeing that Cheng Jinzhou did not speak, he took out the draft paper he carried with him and spread it out page by page, all of which were the use of the method of proof of the parallel theorem.

It's useless to think too much, Cheng Jinzhou took a breath and leaned over to look.

Your Excellency the Star Warlock, who was wearing a gray-black robe, looked a little uneasy.

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

While watching, Cheng Jinzhou used a quill pen to do calculations occasionally, and replaced it with another research doctor. The classic proof of 300 years ago, he has long been familiar with the answer he should get, and he can't do it no matter what. , now I have to do it myself.

Fortunately, what I was looking at was only elementary geometry and very little knowledge of advanced geometry, so that Cheng Jinzhou would not be at a loss.

Scratch paper is about 50 pages thick.Xiang Xin has far more knowledge than she had in Euclid's time. Standing on the edge of modern mathematics, she is able to look at problems from a more advanced perspective. At the beginning of the disproof, she uses various inferences very well. , while reading the first 20 pages, Cheng Jinzhou's uneasiness increased with time.

However, he soon felt relieved.

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

She has never been exposed to calculus at all, and she just uses the concept of limits hundreds of years ago, and she will not succeed even if she is exhausted.

Cheng Jinzhou heaved a long sigh of relief—for God's sake, the damned history will not be changed because of the show off of a certain butterfly. If there is no world-leading scientific thought, no matter how many books there are, he can't fight them An intelligent star warlock.

Xiang Xin, however, had some misunderstandings. Seeing Cheng Jinzhou raised his head where he was most worried, his whole face flushed with embarrassment, and said in a low voice, "The latter should have been removed, but I want you to guide me a little bit..."

Although Xiang Xin has been asking Cheng Jinzhou for advice these days, he has never said such words as "ask for advice" or "guidance".As a genuine star warlock, she has a much higher status than those "fans" like Wu Zong. While enjoying the authority and benefits of the star warlock, she also bears unshirkable responsibilities, including maintaining the star warlock image and dignity.

Being willing to bow his head and say the word "guidance" at least shows that Xiang Xin recognizes Cheng Jinzhou's ability.Xiang Xin himself would not have believed that there was a 13-year-old boy who possessed mathematical knowledge beyond that of a first-level star warlock if he hadn't experienced it himself.

But when she lowered her head, she felt much more relaxed.

Cheng Jinzhou didn't understand the twists and turns, he hesitated for a moment and said, "The angle you chose is not wrong, but you chose the wrong target."

"Target? You mean I should first assume a little parallel line..." Xiang Xin immediately talked about the specific content.

Cheng Jinzhou shook his immature face, shrugged and said: "With your current knowledge reserve, you can't get the answer you want. You should try simpler questions first."

Xiang Xin's face turned red immediately, and he stood up suddenly, and after a moment of silence, he said, "You mean I'm not qualified to do this question?"

If he was a native of the Great Xia Dynasty and was questioned like this by an astrologer, he would have collapsed long ago.Cheng Jinzhou just frowned and said: "You are not qualified to do many problems. Your attitude at the moment, you are not qualified to do such problems in this life."

"I..." Xiang Xin also understood that she had lost her temper wrongly, but she wanted to apologize to Cheng Jinzhou, but she couldn't bear to lose face, so she stalemate for a while, and rushed out the door.

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

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

In fact, in the 17th and 18th centuries in the history of the earth, it was precisely because of the rapid and alternate development of modern science that so many super geniuses were born-only those years in the early 20th century can be compared with the composition of geniuses.

A gust of wind blew the half-opened window, blowing a few drafts on the table to the ground, and what was exposed outside was just a series of continuous calculations of limits.

Cheng Jinzhou stared at the handwriting representing the rudiments of calculus for a moment, then pushed the door open, strode out of the courtyard, and took a deep breath.

In the air, there was a smell of giants.

……

(End of this chapter)