In a corner of the Rainbow Tower, there is a tall tower that is lonely and independent.

Located in the lush forest, this tower is not a straight structure, but is spiraled up, full of strange aura, but also exudes a wonderful beauty.

This is the headquarters of the mage organization of the celestial system and the stargazer.

In an office on the tower, a middle-aged man was pondering.

His fingers kept tapping on the table, as if considering a difficult problem. The man frowned and held a beautiful quill in his hand, but he had not written any words for a long time.

Dongdongdongdongdong-

Just as the man was in this position, a rapid knock on the door sounded, interrupting his meditation.

He raised his eyebrows lightly, but soon sighed helplessly again, and put the quill back into the ink bottle.

"Come in."

After receiving the response from the man, the knocker pushed the door in. It was a young man with a wizard robe that was popular in the Tower of Rainbow, and five golden edges on his cuffs were flashing.

"Fenriel, what's wrong?"

The man asked, his student had always been less calm and seemed even more anxious at this time.

"Teacher, I received an academic paper here."

The student known as Fenriel said respectfully, putting the copy of the paper in his hand on the man's desk.

“Academic papers?”

At this time, the man remembered that his student was serving as the review committee of the thesis review committee. This was his instruction to make the reckless student more mature.

However, what Fenriel received should be papers from low-level mages. Why do you want to tell me about this?

"Teacher Regens, this is a math paper, authored by Reiner Ian Grey."

Fenriel added.

"Mathematics? Reiner Ian Gray?"

Man, advanced mage Wilder Regens, looked at the cover of the paper.

Reiner Ian Grey's paper on the electrolysis of water has long been spread in the Tower of Rainbow. This young mage apprentice was quite popular with the mercury balance, but for Wilder, this was just an ordinary genius and he didn't pay much attention to it.

Wilder had long felt that the theory of the four basic elements had serious loopholes, and it was just a matter of time before it was overturned. Reiner Ian Grey just followed the trend of history and picked up a fish that missed the net.

But now it seems that this Reiner Ian Gray actually has some research on mathematics?

But even so, it has nothing to do with me.

Wilder glanced at his student and did not open the paper.

"Teacher, this paper explains a brand new coordinate system, and I think this may be helpful to your research."

Fenriel understood the teacher's meaning and explained.

He knew that his teacher was studying the law of movement between stars and had already had certain observation data and conjectures, but it was difficult to prove it mathematically, which attracted the ridicule of many people within the stargazers. You should know that in the eyes of most astrological mages that occupy the mainstream of the mysterious school, the movement trajectory of the stars should be a perfect circle rather than a strange ellipse that Wilder insisted on.

In this case, Fenriel happened to get this paper. After reading it carefully, he rushed here, hoping to help the teacher.

"Coordinate system?"

Wilder had no idea at first, but when he picked up the paper under the gaze of his students and saw the title, the calm and advanced mage also lit up.

"Derivation of curve equations?"

You should know that it is difficult for Wilder to establish a complete and concise way to prove his thoughts. Regardless of the content of this paper, at least the research direction is indeed in line with Wilder's theory.

It seems that my students are not useless either.

After glanced at Fenriel, Wilder opened the paper.

At the beginning, Wilder read the words with polar coordinates very slowly. He picked up the pen and calculated the paper according to the ideas of the paper. When he fully understood the meaning of it, he put down the pen and sighed.

"What, what's wrong?"

Fenriel originally thought he could help the teacher, but looking at Wilder, who was frowning at the moment, the stone in his heart hangs high again.

"I'm just lamenting that I've overlooked such a simple thing. The idea of ​​setting up the polar coordinates is not difficult, but it's very clever. Perhaps it's easy to ignore some basic things at a high level."

Explained that Wilder turned to the discussion on curve equations.

The derivation process here seems very simple to Wilder, who has already understood the polar coordinates. When he saw Reiner unified several common curves into a functional equation, Wilder felt a buzzing sound in his mind.

Isn’t this the answer I’ve always dreamed of!!!

He stood up suddenly, frightened Fenriel next to him and took several steps back. Then Wilder immediately sat down, picked up the quill, and started to calculate.

Wilder has three conjectures about the movement of stars. At this time, he is using polar coordinates to verify these conjectures.

The first guess...is true!

This is the most basic conjecture. Wilder believes that the trajectory of movement between the stars surrounding the sun is not the perfect circle as I thought in the past, but an ellipse. At this time, various observation data are substituted into it in the form of polar coordinates, and the derivation result presented is the polar coordinate equation of the ellipse!

The second guess...is true!!

According to the first conjecture, Wilder calculated that when stars orbit the sun, the area swept through the connection between the stars and the sun per unit time is equal, which means that the movement of the stars does not move at a uniform speed!

The third guess...is true!!!

The third conjecture is to argue the relationship between the time spent on a star orbiting a star and its orbital half-axis. When the first two conjectures are true, this conjecture is easily proved!

The three conjectures that had troubled Wilder for a long time were all proven by mathematical evidence. From this moment on, these three conjectures are no longer just conjectures, but laws!

The three major laws of Regens about the movement of stars!

Buzz —

Wilder felt that his heart lake was turbulent than ever before. Above the turbulent lake surface, stars were running on strange trajectories. They were not perfect circles, but ellipses of different shapes!

This is the feedback from the world!

After closing his eyes, Wilder slowly opened his eyes and felt the powerful power in his body. There was no doubt that he had obtained enough feedback through the establishment of these three laws. With a little preparation, he could successfully advance to the Nine Rings, only one step away from the legendary wizard.

Wilder looked at the paper again and couldn't help but sigh again.

"Teacher, are there any problems?"

Fenriel, who dared not speak, felt the magic resonance in the room before, and could vaguely know that his teacher should have received feedback from the world, but he didn't understand why he sighed.

"I am just sighing that if the person who can write such a paper is among us stargazers, he will definitely become the most shining new star. Unfortunately, he was snatched away by the mercury balance early on."
Chapter completed!