Scepter of Truth

Chapter 24: Analytical geometry

Views:

After knowing that the necessary examinations are needed tomorrow, the nervous apprentices, led by the staff, went to the guest room dedicated to rest on the second floor and five districts, and Rosa also needed to go to the Magician Management Department to register. The group of people all left this hall one after another.

"Do you have anything else?"

The gray-haired staff put their fingers on the eyes of the bracket on the bridge of the nose and asked Victor, who was still standing in front of him.

"Mr. Atol, I have a paper on arcane research and I want to submit it to the'Skasiti's Arcane Review and Evaluation Committee'..."

Before Victor's words were finished, Atol couldn't help but interject: "Apprentice, I admire your courage. But you may not yet understand the committee's rules and regulations. As a person who has just embarked on the road to truth. Little bird, you are not qualified to submit your paper for review! What's more, do you know the format of the paper, the requirements for the number of words... and some things that need attention?"

Victor, who was interrupted, didn't care about the other party's questioning. He politely replied, "I have a letter of recommendation from an arcane reviewer."

"Recommendation letter?" Atol asked in surprise, "Can I take a look first?"

"Okay, sir."

Victor reached out and handed the recommendation letter written by Rosa to the elderly staff.

Atol read the content of the recommendation letter carefully, then raised his head to re-examine Victor with a new look.

"Apprentice, although I don't know how you got the recommendation of Level 6 Arcanist Mr. Rosa, but I have to remind you! This letter of recommendation can only be used once, do you really decide to use it here?"

"Yes, Mr. Atol, I'm sure!" Victor's tone was very firm.

"Well, I hope you can seize this opportunity." Atol shook his head, "Young man, just impulse..."

Obviously, he is not optimistic about Victor, but even so, Atol has fulfilled his responsibilities in accordance with the rules and regulations.

"Apprentice, this is parchment for writing papers. You need to copy your arcane research results on it again..."

As he said, Atol pointed to the rest area opposite the counter, "You can go there and write, the environment is still relatively quiet. Also, remember to hand over the paper to me before the Tower of Babel is closed, otherwise, you will have to Wait till tomorrow."

Victor took the parchment and nodded politely again.

Under the action of the magic circle, the empty rest area seemed extremely quiet. Victor sat in front of a square desk with quill pens and ink bottles, and spread the parchment on top of it.

Settling his mind, Victor called up the relevant information stored in Ultrain, and wrote his first paper in this world intently:

"Analytic Geometry" Derived from the Application of the Three Laws of Motion in "Projectile Objects"

"Keywords: projectile items; spell model; analytic geometry; three laws of motion."

"The establishment of the modern magic system marks that our research on arcane has entered the most intense period of intellectual activity. The minds of the wizards have untied the ropes from the ancient anchorages, and are exploring and seeking knowledge and pursuing the vast ocean of truth. Set sail and move forward."

"As we all know, since the establishment of the modern magic system, most mathematics and science subjects have made specific progress: algebra has produced a sophisticated symbol system; the solutions of cubic and quartic equations have been mastered; negative roots and even imaginary roots have also been mastered. Known by the mages; trigonometry is no longer a proprietary product of the galactic system, but has developed into an independent discipline..."

"However, we have to face the fact that the progress in geometry is very slow, or it can be said that there is no progress."

"When I was studying the zero-ring spell'projectile items', I was inspired by Grant Einsed’s discussion of the three laws of motion. After combining some of the research results of the legendary mage Mellon Ribis, I proposed A new way of analysing spell models and projectiles... I call it'analytic geometry'."

"..."

In accordance with the writing model of the papers published in the journal Nature, Victor, after briefly describing the current form of arcane development, wrote his own research results straightforwardly.

The reason why "Analytic Geometry" is chosen as the main body of the thesis is that this pure mathematical application does not involve excessive arcane knowledge, it is just a new tool, a powerful tool in the process of searching for truth. .

And Victor is just a lucky guy who discovered this tool, so the doubt he received will be minimized. What's more, Victor implicitly revealed in his thesis that he has a plausible relationship with the legendary mage Mellon Ribis and the president of the Magic Society Grant Einsed, which is also a necessary Self-insurance method.

"... Using the coordinate system as a reference point to determine the position of a point is one of the research results of the Arcane Empire, but analytic geometry is not entirely true..."

"The trajectory of the'projected object' can be listed through algebraic equations... Whenever we find two unknowns in the final equation, we can get a trajectory, one of which draws a straight line at the top Or curves. Straight lines are simple and unique, while the number of curves is infinite, including circles, ellipses, and parabolas."

"If the top of the unknown number that constitutes the trajectory describes a straight line or a circle, the trajectory is called a plane trajectory; when it describes a parabola, hyperbola or ellipse, it is called a three-dimensional trajectory; Other curves are called linear trajectories... ”

"If two curves are referenced to the same axis and the same coordinate system, the intersection point is determined by the solution of their equations."

"..."

Combining the data and information in Ultrain, Victor wrote his own analysis of the "projectile object" spell model and the motion trajectory equation of the projected object, and wrote the relevant knowledge of "analytic geometry" on parchment in more detail.

Victor has spent a lot of time studying all these, so his writing process is very easy.

When Victor finished the main body of the thesis and wrote the conclusion, he thought a little, and then he continued writing.

"Through the research on the practical application of the three laws of motion in the'projectile', I was surprised to find that geometric problems can be reduced to algebraic problems, so all the methods of algebra can be used when solving them."

"Because the language of algebra is far more enlightening than the language of geometry, after the problem is changed, as long as you perform some algebraic transformations, you can discover many unexpected properties..."

"As a mage apprentice, my knowledge and ability are not yet able to conduct deeper research on'Analytic Geometry'... I sincerely hope that'Analytic Geometry' can inspire everyone's arcane research."

Blowing the ink on the parchment gently, Victor checked the paper several times again.

Finally, before the staff member Atol was about to leave the Tower of Babel, Victor handed him the sorted parchment.

"Apprentice, what is the content of your thesis?"

"Well, it should be mathematical."

Atol put Victor's paper on the counter in a simple magic circle with the words "Astrology" written on it without looking at it, and activated it.

With a soft magical brilliance, the parchment disappeared.

"Apprentice, you'd better not have too much hope, after all, you have just embarked on the path of a mage, and there are still many opportunities in the future..."

Atol kindly raised Victor, and he took out the magic pocket watch in his chest pocket and looked at it, "It's getting late! The audit result will come out tomorrow... You should take a break too."

"Thank you for your concern, Mr. Atol."

After Victor bid farewell to the old staff politely, he returned to the guest room on the second floor and fifth district.