In the academic world, the earliest general method for calculating the circumferential number can be traced back to the Rand Papyrus more than 49,000 years ago, which believed that the area of a circle was equal to the area of a square with 8/9 of its diameter as the side length, from which the circumferential number was calculated as 3.16

Papyrus is a kind of aquatic plant that grows about 2 meters high in the humid area of the lower reaches of the Roni River, the stem is cut into thin slices, flattened and dried for academic writing materials, and several pieces are glued to a long width and rolled on a wooden pole to form a roll.

The error of the actual measurement was large, and it soon entered the era of circumcision.

The so-called circumcision technique is to first make a circumscribed or circumscribed regular polygon with a small number of sides of the circle, calculate its side length and then find the perimeter or area, and then double the number of sides of the regular polygon, repeat the calculation, increase again, and calculate again, so that when the number of sides increases infinitely, the perimeter of these regular polygons calculated is infinitely close to the circumference of the circle, so that the circumference number can be obtained according to the formula of the circumference.

Of course, in practice it is impossible to increase the number of sides to an infinite number, and the average prospective scholar can only find a certain side, and then define the circumferential number within a certain range or take an approximate value.

There are two types of circumcision techniques clearly given on the rubbing, the classical method and the arc vector method.

Liu Meng's god-level academic tyrant consciousness, the circumcision technique is not complicated, it happens to focus on logic and calculation, and it is quickly clear.

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

"It's nothing, I'm not a Xingshi asking about sin, how is your circumferential holy number solved?"

Tyumen is very considerate of other people's feelings.

This is very different from his father.

Liu Meng replied: "The progress is quite smooth, and the circumcision technique is basically understood." ”

"Circumcision is the most common solution, but it is not clever, cutting to a positive 16384 polygon to get a seven-digit precision, even if you are proficient now, I am afraid that it is too late to light up after worshipping the stars. ”

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

"Seven. Qiu Ming said succinctly, "This is the solution handed down by my Qiu family, and it is one of the two most clever solutions in Anxian County, and I can teach it to you." ”

This sentence is not unimportant, if you change to someone else, you will definitely be crazy, the exclusive method will never be passed on, even the children of the family can only be studied by the outstanding.

Qiu Ming also observed Liu Meng, but he was very disappointed that he didn't find any expression of excitement and excitement, he was still as indifferent as water and chrysanthemum, and his mood did not fluctuate at all, and he only said three words quietly.

"Is it appropriate?"

"You must make a strict vow that you must not pass it on privately, not even to your descendants, and ...... in the future. ”

Tyumen was very serious when he spoke, involving family inheritance, and he was not sloppy at all.

"Brother Qiuming, you have received your kindness, firstly, it is unknown whether I can succeed in worshipping the stars, and secondly, in terms of my strength, it is enough to use the circumferential number by pondering the circumference technique by myself. Liu Meng didn't hesitate at all, "You also know that I don't like to owe favors, and it's still a great favor." ”

Qiu Ming's eyes were confused, he really didn't understand why Liu Meng refused to accept the benefits that were sent to him, was it just hypocrisy? It was too unnecessary, and everything else was insignificant compared to academic improvement.

"Have you figured it out?"

Liu Meng looked at his eyes and nodded, not wavering, not a pity, just like a normal thing.

"Good. Qiu Ming was shocked in his heart, in all fairness, if he was in Liu Meng's position, he couldn't refuse, and then entered the Tianzi Quiet Room, as if nothing had happened.

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

On this day, Liu Meng fully understood that the progress after circumcision was great.

The powerful logic and consciousness of the god-level scholar highlights the incomparably superior side, relying on simple academic knowledge can still solve advanced problems, as the saying goes, complex problems are simplified, that is the master's level, and vice versa.

Whether it is a classical circumcision or an arc sagittal circumcision, it is too complicated, and it is calculated to a positive 16384 polygon to achieve seven-digit accuracy, not to mention how much time it takes, even after worshipping the stars, there is not enough time to light up.

Complex problems are much simpler when they are creatively transformed.

A triangle constructed from two points AB on any diameter of a circle and another point C on an arc must be a right-angled triangle.

AC is both the side of the circle and the side of the circle of the circle and the side of the polygon.

Then from the center of the circle O as a straight line OD perpendicular to AC and intersect AC and circle in E and D, it is obvious that DC must be the side of the circle connected to the regular 2n lateral, and the numerical relationship between DC and AC and diameter can be obtained from the intersection and properties of the above lines.

A very important iterative formula, from which the time to obtain the circumference of the 16384 polygon is greatly reduced, and the time conditions for lighting the circumferential holy number after worshipping the stars are met.

Liu Meng looked at the time, but he didn't expect to sit for four hours, and finally took a big step forward, at least to ensure that the seven circumferential saint numbers were lit up.

If Yuan Hua saw this iterative method, he would probably widen his eyes and grow his mouth, isn't this the advanced solution of the circumferential holy number that my Yuan family treasured? How did you know about it?

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

However, if this method wants to improve the accuracy by one more bit, it needs to increase the amount of calculation, and it is too late to light up, and it is necessary to find a more concise and subtle method.

Liu Meng thought.

On the way back at night, Bai Wuyang couldn't help but say: "You said last time that the method of solving the circumferential holy number is simpler than measuring with a ruler, it must be bragging." ”

"Really, do you want to know?"

"Yes. ”

"That's the highest level of academic inheritance of our Liu family, my father worked so hard to get it, and 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 make me a concubine, you have to wait until you are pregnant, and you can barely be regarded as your own family before you can tell you. ”

"Liu Meng, you are shameless, you cheeky, you pig, you dog, you scoundrel, you are despicable, you ......" Bai Wuyang was once again angry and incoherent, "I...... How can I, Bai Wuyang, be a concubine, ...... You...... , when I succeed in worshipping the stars, I will recruit you home as a valet, and torture you to death every day to relieve the hatred in my heart. ”

It's a lot of fun to tease the tsundere daughter, Bai Wuyang has been pampered since she was a child, she is very simple, and she has always dealt a blow to anger without light or heavy, no one dares to make her so angry, and she doesn't know what to do when she goes crazy, it's very funny.

Liu Meng wrapped the blanket around his body and pretended to say, "Don't mess around, I'm not a casual person." ”

"I'll kick you bastard. ”

The straight, slender little foot kicked at him.

A fight to the death.