In the academic world, the earliest general method for calculating the number of circumferences is traced back to the Land Papyrus more than 49,000 years ago. It believes that the area of ​​the circle is equal to the area of ​​the square with 8/9 of its diameter as the side length. From this, the calculation results in the number of circumferences as 3.16.

Papyrus is a kind of aquatic plant that grows about 2 meters high in the wetlands in the lower reaches of the Ronnie River in Tianmangxing. The stems are cut into thin slices, flattened and dried, and then used as academic writing materials. Several pieces are glued into a growth pattern and rolled on wooden poles to form a roll.

The actual measurement error is large, and soon entered the era of solving the problem of circle cutting.

The so-called circle cutting technique is to first make an inline or external tangent regular polygon with fewer edges of a circle. By calculating its edge length, then calculate the circumference or area, then double the number of sides of the regular polygon, repeatedly calculate, increase, and then calculate. In this way, when the number of sides increases infinitely, the circumference of these calculated regular polygons is infinitely close to the circumference of the circle, so you can obtain the circumference of the circle based on the circumference formula.

Of course, it is actually impossible to increase the edge number to infinitely many. Generally, quasi-scholars can only find a certain side until they are bounded within a certain range or take an approximate value.

The rubbing clearly shows two kinds of round cutting techniques, classical method and arc-sagittal method.

Liu Meng's consciousness of the god-level academic master is not complicated, and it just focuses on logic and calculation, and it will be clear quickly.

Qiu Ming came out of the quiet room, sat next to Liu Meng, smiled bitterly, and said, "What did you do last night make my father very angry."

"Nothing, I'm not asking for advice. How about your circumference holy number?"

Tyumen is very good at considering other people's feelings.

This is very different from his father.

Liu Meng replied: "The progress is still going smoothly, and I have basically understood the technique of cutting the circle."

"The Circle Cutting is the most common solution, but it is not very clever. You can only get seven-digit accuracy by cutting to a positive 16384 polygon. Even if you master it now, you may not have time to light it up after worshiping the stars."

"How is your progress?" Liu Meng didn't want to talk too much about himself.

"Seven." Qiu Ming said concisely, "This is the solution passed down by my Qiu family. It is one of the two most clever solutions in An County. I can teach you."

This sentence is harsh. If it were someone else, he would be crazy. The exclusive method is never passed down. Even if the children in the family are outstanding, only outstanding people can study it.

Qiu Ming also observed Liu Meng, but he was disappointed and did not find any excitement. He was still as calm as water and chrysanthemum, and his emotions did not fluctuate at all. He only said three words quietly.

“Is it appropriate?”

"You need to write a strict oath, not to spread it privately, or even to your descendants, in the future..."

Qiu Ming spoke very seriously, and he was not careless about family heritage.

"Brother Qiu Ming, you have received your kindness. First, it is still unknown whether I can successfully worship stars. Second, based on my strength, it is enough to think about the Circle-cutting technique to light up the Circle-circle Holy Number." Liu Meng did not hesitate at all, "You also know that I don't like to owe favors, but it's a huge favor."

Qiu Ming's eyes were confused. He really didn't understand why Liu Meng refused the benefits of giving them. Is it just pretentious? It's too unnecessary. Compared to academic improvement, everything else is insignificant.

"Have you thought it through?"

Liu Meng looked at his eyes and nodded, not to waver, it was not a pity, just like something ordinary.

"Okay." Qiu Ming was shocked. To be fair, if he was in Liu Meng's position, he could not refuse, and then entered the Tianzi Jingshi and pretended that nothing had happened.

Whenever Bai Wuyang saw Qiu Ming talking to Liu Meng in a low voice, he couldn't help but eavesdrop on his ears, but he couldn't hear them. It was really annoying.

On this day, Liu Meng fully understood that the progress of the cycle surgery was very good.

The powerful logic and consciousness of the god-level academic masters highlights an extremely superior side. Relying on simple academic knowledge can still solve advanced problems. As the saying goes, simplifying complex problems is the master level, and vice versa.

Whether it is the classic circle cutting technique or the arc-sagittal circle cutting technique, it is too complicated. Only by calculating the positive 16384 polygon can you achieve the seven-digit accuracy. Not to mention how much time it takes, even if you worship the star, there is not enough time to light it up.

Complex problems become much simpler after being transformed creatively.

The triangle constructed with two points ab on any diameter of the circle and another point c taken on the arc must be a right triangle.

ac is not only the side of a circle connecting a square inside, but also represents the side of a circle connecting a square inside after the edge is doubled.

Then, from the center o of the circle, the line od is perpendicular to ac and intersecting ac and circles to e, d. Obviously, dc must be one side of the circle connected to the right 2n-sided edge. From the intersection and properties of the above-mentioned lines, the numerical relationship between dc and ac and diameters can be calculated.

A very important iterative formula, from which the time to obtain the circumference of the 16384 edge is greatly reduced, it has the time conditions to light up the circumference of the holy number after worshiping the star.

Liu Meng looked at the time, but unexpectedly, he sat for four hours and finally took a big step forward, which could at least ensure that the seven circumferential saints were lit up.

If Yuan Hua saw this iteration method, he would probably have wide eyes and grow his mouth. Isn’t this the advanced solution to the circumference saint numbers collected by my Yuan family? How did you know?

Liu Meng deduced that it took only one day, and this method was a little bit more clever than the Qiu family.

However, if this method wants to improve one-bit accuracy, it requires a lot of calculations. If you don’t have time to light it up, you need to find a more concise and exquisite method.

Liu Meng thought.

On the way back in the evening, Bai Wuyang couldn't help but say, "You said last time that you were a simpler method than measuring a ruler, and you must be bragging."

"Really, do you want to know?"

"Think of it."

"That's the highest academic heritage of our Liu family. My father went through a lot of hardships to get it. Outsiders must not pass it on, unless."

Although Bai Wuyang felt that Liu Meng was talking nonsense in his heart, he couldn't help but ask curiously: "Unless what?"

"Unless you are a concubine for me, you have to wait until you get pregnant, and you can barely be considered your own family to tell you."

"Liu Meng, you are shameless, you are shameless, you are shameless, you pig, you dog, you are bad guy, you are despicable, you..." Bai Wuyang was once again so angry that he was incoherent, "How could I... Bai Wuyang be a concubine for someone? You...you...When I succeed in worshiping the star, I will call you home as a male servant, and torture you to death every day to relieve my hatred."

The arrogant and slutty daughter is very fun. Bai Wuyang has been spoiled since childhood and is very simple. He has always dealt with anger without any severity. No one dares to make her so angry. He doesn't know what to do when he gets crazy. That's very interesting.

Liu Meng wrapped the blanket on his body and pretended to be like, "Don't do anything randomly, I'm not a casual person."

"I'll kick you bastard to death."

The straight and slender feet kicked over.
Chapter completed!