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The side of the Wizard Land facing the Sekas Empire is the Sea of Fog, but this does not mean that the entire island is shrouded in fog. In fact, the sea behind is navigable.
But the sea is too vast. Once a great wizard wanted to see what was on the other side of the sea. After flying for a month, he only found some uninhabited islands and ferocious sea beasts, and he almost lost his way back.
Under Harov's decision, public opinion did not ultimately evolve to the point of invading the Sekas Empire and overthrowing the Holy See.
Although some wizards considered Harof's floating island plan to be a "cowardly" move out of fear of the Church, they did not dare to speak out against it. The focus of discussion soon shifted to how to determine the distance between the Corona Tower and the pillars.
A witch quickly suggested that they could find a very long rope, measure the length, and use it as a unit of length. Then, every time they traveled the distance of the rope, they would leave a mark on the ground as a mark. In the end, they would just have to count how many marks there were.
But this proposal was rejected shortly afterward because it was too troublesome, not to mention that the terrain of the wizarding land was uneven, which would result in large errors.
After a heated discussion, the more convenient method of measuring distance using carriages and ships quickly prevailed.
"How about using an airship?" Lydia suggested, raising her hand high.
Raphael and the others' eyes suddenly brightened. He was just about to say this, but Lydia brought it up first.
Compared to the alchemy ship that would be disturbed by wind and waves, the airship floating in the air is undoubtedly a better choice.
Not only can it overcome all obstacles and achieve true straight-line movement, but after being blessed with windproof magic, the sailing speed is also very stable and not prone to fluctuations.
If the airship is traveling at full speed, it can travel 15 kilometers per hour, so it can travel 360 kilometers per day at full speed. Using this as a benchmark to judge the distance is still very accurate...
Lin En did not join in the discussion. He turned to look at the wizards of the prophecy school and asked with a smile, "Mr. Yolande, do you have any questions now?"
Yolande was stunned and didn't reply, his mind was full of Lin En's method of dividing the circle into equal parts to calculate the circumference.
Although the exact result has not yet been obtained, he understands that the school of prophecy has lost this time, and lost completely!
Chapter 144 Reference Objects and Pi
"Mr. Lin, you win. It seems that all our efforts over the years have been in vain." Yulande reacted after a long time and said dejectedly.
These words seemed to have drained away the little strength Yolande had left, and he seemed to have aged several years in an instant.
The rest of the wizards from the School of Prophecy also looked distracted.
Their star map is wrong, and the hundreds of years of efforts of the entire prophecy school have become a complete joke!
"There's no need to be so self-deprecating, Mr. Yolande. In a sense, your star map is still very accurate." Lin En shook his head and said comfortingly.
He was able to confirm that the law of universal gravitation was still applicable in the other world, and that it used the laws of stellar movement that the school of prophecy had spent hundreds of years observing. Lin En was also embarrassed to discourage these wizards who yearned for the starry sky.
"So you finally admit that all this is made up?" a witch from the prophecy school said excitedly.
Lin En glanced at her, speechless. When did he say this?
But before he could open his mouth, Yolande stopped several colleagues who were still trying to continue arguing, and waited for Lin En's answer with a confused look on his face.
Lin En ignored the wizards of the School of Prophecy who had suffered a huge blow and were already somewhat unconscious. He looked at Yolande and continued to speak.
"Remember the carriage problem I told you about? If we use the carriage alone as a reference, the person inside is stationary, but if we use the starting point as a reference, then he is indeed moving. In my opinion, both statements are correct..."
To put it simply, the geocentric theory and the heliocentric theory are based on different reference objects.
Of course, in comparison, the heliocentric theory is more suitable for solving some practical problems. After all, the essence of the formation of a galaxy's orbit is the gravity of stars, so the proposal of the heliocentric theory is indeed a huge progress!
As for whether these people can understand it, that is none of his business.
Amid the discussion, the magic seminar that lasted for the whole morning soon came to an end. However, the topics about planets, stellar orbits, and airship ranging remained as hot as ever.
It was only after they walked out of the seminar that some wizards from top schools suddenly remembered that they had participated in this seminar to showcase the new magic and new theories they had developed.
As a result, they didn't say a word, and the entire seminar became a one-man show by Lynn.
However, under such circumstances, I am afraid that not many people would care about what new magic I have researched. Everyone is guessing how long and how big the planet under their feet is.
Philip was so excited that he could hardly contain himself. Before attending the seminar, he was a little worried that Lynn would not be able to cope with the challenges posed by the wizards of the prophecy school. Unexpectedly, Lynn refuted these people completely in just a few words, and demonstrated the issue of the planet's rotation with an ingenious experiment. He was even nominated for the Corona Medal!
This is the highest award in magical scholarship. He never thought that the Iyeta School would one day be able to receive a glorious Corona Medal. In the past, that was the exclusive privilege of legendary wizards!
Philip was considering using magic to call Kevin, Orlando and others to come and participate in the awarding ceremony in a while. That would definitely be the most glorious day for the Yieta School!
Compared to Philip who was still immersed in joy, Lin En was now surrounded by a group of wizards with a burst of curiosity. After getting the method to measure the circumference of a planet, everyone was very curious about how to calculate the mass of a huge celestial body.
Lin En, who was tired of being asked, had no choice but to evade the question by saying that he needed to wait until the radius and gravitational constant of the planet were calculated before he could do further calculations.
After finally sending these curious kids away, Lin En turned to look at the legendary wizard Harof who had not left yet, and asked.
"Lord Harrolf, is there anything else you can do for me?"
"I still have a few questions, I hope you can give me some advice..." Harof was very humble and did not act arrogantly just because Lin En was only a three-ring wizard.
In fact, this problem has been bothering him for a whole year.
“Please continue to ask, as long as they are questions I can answer.” Lynn nodded.
"I've read the three laws of stars you wrote, but why are you so sure that the orbit of a star must be an ellipse?" Harov asked in confusion. "According to my research on gravity, it is like a water wave, with itself as the base point, spreading out in all directions, and the orbit it forms should also be a perfect circle."
"I have discussed this with some scholars in the Secret Law Society and put forward many speculations, but in summary it can be attributed to two points!" Lin En replied.
"Which two points?" Harov asked quickly.
"First, there is no perfect circle!" Lin En said calmly. "After precise mathematical calculations, pi is an irrational number, so the perfect circle in our imagination probably does not exist in reality."
"That may not be the case?" Harof frowned. The wizards of the Alchemy Society were also studying the curvature of the circle. Although they came to similar conclusions, in his opinion, everything in the world must be regular, but they have not found this law yet.
"Unfortunately, this is the truth. I heard that an adult from the Secret Society spent decades calculating pi to two hundred trillion decimal places, but the number he came up with still has no logic and can be deduced infinitely." Lin En shrugged and said bluntly.
Two hundred...trillions?
Harof was stunned by this terrifying number. He suspected that what Lin En said to him was not the same thing at all, or maybe he had heard it wrong.
He remembered that the Alchemy Association had already deduced the value of pi to which digit. It should be... the ninth digit?
“I don’t remember much, probably only the first two hundred.” Lin En raised his hand and used magic to manifest the numbers.
【3.1415926535897932...】
Looking at the series of complex and confusing numbers in front of him, Harof's face twitched involuntarily. The first nine digits were exactly the same as the values deduced by the Alchemy Association. He had to admit that what Lin En said was probably true.
But how much free time does the other party have to be able to deduce the value to two hundred trillion digits?
At the same time, Harov also admired the other party for working hard on the unsolvable problem of pi for decades just to get a final answer.
Harof became more and more interested in the [Mystical Society] mentioned in the invitation letter. It must be a gathering place for top academic researchers.
Chapter 145: The All-Seeing Eye and the Invitation of the Secret Society
Harov thought for a long time before he reluctantly accepted the fact that a perfect circle did not exist. He then continued to ask, "I understand your first point, but what is your second point?"
"The second point is the interference of the gravity of other planets. Even if the planet under our feet has an initial orbit close to a perfect circle, it will inevitably deviate after tens of millions of years of evolution due to the interference of the gravity of other celestial bodies," Lin En explained.
"So that's it!" Harov suddenly realized that gravity exists between all things and will inevitably interfere with each other. Even if the amplitude of this interference is very small, under the effect of time on the scale of tens of millions of years, it will be magnified to the point where it affects the orbit of celestial bodies.
There is a third influence that Lynn did not mention, which is that the stars themselves are not stationary, they are also moving around the center of the galaxy, so interference is inevitable.
However, this is probably beyond the understanding of these wizards. They haven't even figured out the rotation of planets, and they know nothing about the larger picture of the universe.
"I have another question. The first law says that the star is at a focus of the ellipse. What is this focus?" Harov continued to ask.
"It may not be convenient to explain it directly. Why don't you just draw an ellipse and you will know?" Lin En said with a smile.
Harof stretched out his hand without hesitation, using his right index finger as a pen and magic power as ink to draw an ellipse in the air, and then looked at Lin En, waiting for his answer.
Damn, he drew an ellipse freehand and it’s so standard.
The corners of Lin En's mouth twitched. He finally understood why the "technology tree" of the wizard land was so messed up. This was because wizards had no use for many instruments at all. When encountering a problem, they would probably only consider which kind of magic would be more convenient to solve.
Seeing this, Lin En, who was at a loss whether to laugh or cry, could only turn around and look at the apprentices.
"Alok, you should draw it!"
Alok nodded excitedly. He knew how to draw an oval, and this was a chance to show up in front of the legendary wizard. Alok trotted and quickly found two small wooden sticks and a thin rope. Then he put the thin rope on the two sticks inserted into the ground and used them as a fulcrum. He used a feather pen to hold the thin rope and draw a circle around the two small wooden sticks.
An ellipse immediately appeared in front of Harov.
"The positions of these two sticks are the foci of this ellipse. What's special about them is that the sum of the distances from any point on the arc to the two foci is the same. Some scholars in the [Secret Society] even believe that a perfect circle is actually an ellipse with two foci at the same position..."
Through the process of drawing a circle, Lynn explained to Harov the meaning of an ellipse and the derivation of Kepler's three laws.
Harov was fascinated by the lecture and couldn't stop clapping his hands in admiration. "It's wonderful! It's really wonderful! I didn't expect that the movement of stars could be reproduced so intuitively and clearly through Mathematical Olympiad..."
"If you had stayed a little longer last night, I wouldn't have spent most of the day using the most primitive method to verify the three laws." Harof said with emotion. The conclusion he had drawn after spending a whole night was now perfectly summarized by Lin En in just a few short sentences and some Olympiad formulas.
"Lord Harrov, Professor Lin wanted to visit you in person last night, but was stopped outside the door." Philip on the side said hurriedly.
"Is there such a thing?" Harov was stunned for a moment and turned to look at Lin En.
"Ms. Theresa thinks your research has reached a critical point, but I'm afraid you won't be able to find the time for this meeting." Lin En shook his head and said, "I told her that these laws and formulas should be helpful for your research, but this lady seems to have some small prejudices against me."
Harrov's face immediately turned ugly. This was not how Theresa explained it to him before in the manor!
After pointing out the other party's problem, Lin En did not continue to accuse Theresa of offense by adding fuel to the fire. A witch who could not see the situation clearly was not worth his deliberate targeting. One or two words would be enough.
"Before coming to the wizard land, an adult from the [Mystic Society] entrusted me to give this ring to a very wise and learned person to discuss the mysteries of the universe, time and space. The next meeting time should be around twelve o'clock tonight." Lin En said as he took out an exquisite ring.
That was exactly the [Ring of the Faceless Man] that he had recast, but compared to before, the appearance of the ring had changed a lot. The most obvious change was the blooming flower of thorns on the ring face, which had turned into a very peculiar geometric pattern.
The outer circle is a round clock, and the inside is a pyramid-like pattern. In the center of the pyramid there is a striking, strange eye constructed with geometric patterns.
That is the all-seeing eye!
Even though he had had an unpleasant quarrel with the other party's apprentice Theresa in front of the manor before, Harof was able to put aside his pride and ask various questions to the three-ring wizard without hesitation. After considering it, Lin En handed over the only signal transmitter he had made.
Harof solemnly reached out to take it, and after carefully examining the alchemical patterns on the ring, he quickly determined that the function of this thing was to project one's own magic power to a certain place.
This method was not very novel, but as it was his first contact with the [Society of Secret Arts], Harof was still very concerned about it.
In his opinion, Lin En was like a representative sent by the [Society of Mysticism] to contact the Land of Wizards, and this gathering should be a formal contact between the top leaders of both sides to discuss cooperation or exchange some more profound magical issues.
After getting the ring, Harof did not stay long and soon said goodbye and left. He had to go back and think carefully about what knowledge could be used as bargaining chips.
It was only after Harov left that Lin En asked in his mind.
'071, are you sure that the magic field is safe enough? There is no possibility that it will be taken away by others?'
Lin En did not forget that this thing was taken from Hellram. Normally, he was not worried. After all, the computing power of the intelligent computer was very strong. But he was not so sure when facing a legendary wizard.
[The original form of magic power transmission and reception was too simple, and has now been replaced with quantum encryption. Theoretically, there is no possibility of being cracked. ]