Spring and Autumn I Am King

Chapter 17: The method of cutting a circle

In Ji Qiao's heart, countless alpacas galloped past, but they were counted out by Wu Xie! Fair enough!

"So fast?"

"How could it be so fast!"

He hurriedly wanted to take a closer look at the strange symbols and vertical forms that Zhao Wuxi calculated, but saw that Zhao Wuxi moved his feet and erased them all!

Ji Qiao was so distressed that he covered his stomach. He felt that he had approached an unprecedented algorithm skill. Once he learned it, it would open up a new era of mathematics!

Perhaps, as described in the ancient Suanjing, "the sky can rise without steps, and the earth cannot be measured and measured", it will no longer be a legend!

He immediately put on a smile and said to please, "Don't be ridiculous, little gentleman, tell me about this algorithm."

However, Zhao Wuxi wanted to embarrass him: "Sir, he has already taken the school examination, I wonder if the boy can take the school examination Mr.

"this…"

"If Mr. can answer the boy's question, the boy will hand over this novel algorithm without reservation."

Ji Qiao was very proud of his skill of calculation. He saw that there were not many rivals in Jin, and few calculations could stun him, so his temper also came up today, and he accepted Zhao Wuxi's challenge in a confused way.

Zhao Wuxi drew a circle on the sand table and said, "A circle is the same length in one middle. The diameter of this circle is one foot long, and the circumference is unknown. Can you find the exact area of ​​this circle, sir?"

After Ji Qiao looked at it, he answered angrily: "There is a load in the scriptures, the diameter of the Wednesday is one, the circumference is three times the diameter, and the radius of the half circumference is multiplied to make a step, such a simple question, is the gentleman underestimating me? "

Zhao Wuqi rubbed his beardless chin and said with a smile: "Sir, sir, you are called the number one in Zhao's maths. Do you think the so-called Zhou Jingyi is really accurate?"

Ji Qiao's heart skipped a beat, and the look in Zhao Wuxi's eyes suddenly changed. Zhou Jingyi was a general algorithm for calculating the area of ​​a circle at this time, but in fact there was a big deviation, which also troubled many math experts and wheel manufacturers. Great conundrum for potter's wheel craftsmen.

But the mystery of it, only he, a mathematician, can get a glimpse of it. The circumference calculated by "Wednesday Diameter One" is actually not the circumference of the circle but the circumference of the regular hexagon inscribed in the circle, and its value is much smaller than the actual circumference.

But how to get that mysterious ratio is a question that Ji Qiao has been struggling with since he studied mathematics at the age of eight.

"Please teach me, little gentleman!" For Ji Qiao, the dignity of a teacher is not as important as the pursuit of the truth of mathematics. He only had to kneel and bow his head!

Zhao Wuxi was no longer embarrassed for him, and continued to paint on the ground: "Sir, please see, if we can divide the circle into six arcs by connecting the regular hexagon in the circle, we can continue to divide each segment into six equal parts. The arc is further divided into two, and a regular dodecagon is inscribed in a circle, isn't the perimeter of this regular dodecagon closer to the circumference than the perimeter of a regular hexagon?"

"Therefore, if you divide the circle finely, the error will be less, and the perimeter of the inscribed regular polygon will be closer to the circle. If you continue to divide the circle until the circle can no longer be divided, its circumference will be the same as that of the circle. Almost exactly the same!"

Ji Qiao was like a child in elementary school. He was fascinated by what he heard, nodding incessantly, and sighed in his heart that Zhao Wuxi was the real math genius who could think of such an ingenious method.

It's a pity that I just wanted to stymie him with that "easy" question, and I wanted to give him some pointers... Really, I'm really ashamed, Ji Qiao just wanted to find a hole to crawl into.

What Zhao Wuxi showed was actually the Circumcision Technique, something that junior high school students in later generations would know... But at this time, this theory would have to go through more than 700 years of development, and it would not be discovered by Liu Zheng, Zu Chongzhi and others until the Wei and Jin Dynasties. . The Europeans were earlier. The great scientist Archimedes came up with similar results two hundred years later, but to be accurate to six decimal places, it would take until the sixteenth and seventeenth centuries.

Therefore, if Ji Qiao, a mathematician in the Spring and Autumn Period, can know it, then there are ghosts.

After releasing this cross-era theory, Zhao Wuxi clapped his hands and ran away. Let Ji Qiao do the verification, let him slowly cut a circle and cut a three or four thousand polygons, Wu Xie will not be so simple to tell him that the pi ratio is actually 3.1415926...

Ji Qiao pouted his buttocks with excitement, lying on the ground while drawing circles and playing with the counting tape, acting as a junior high school dog to verify pi. For the first time, he felt that the calculators, who used to be like armies, were so cumbersome and difficult to use...

After fooling Ji Qiao, Zhao Wuxi walked in the Zhao family's palace in the early morning, enjoying the rare leisure time in the past few days.

Although the lower palace is small, it has all the internal organs, and there are thousands of acres of well fields. Twos and threes of Chinese people and savages wear trousers, and they are shirtless to tie the haystacks left behind after harvesting. There is a majestic main hall in the "country" in the city. I can see the heavy halls and sparse buildings, the floors are sparse, and the high platforms are connected with steps, showing the heritage of the hundreds of years of operation of the aristocratic family.

Compared with the past, Zhao Wuxi's life has improved these days. The retainers will stop and salute when they see him, and there are a few more handsome servants and concubines in the room, but these are still not what he really wants.

You must have a place of your own as soon as possible before you can let go of the shackles and rules of the Zhao family's palace!

To prepare for the great war in five or six years.

Getting Zhao Yang's attention is good, but it also has disadvantages. For example, Zhao Wuxi can no longer wear the hakama of the Di man in public. The wide robes and sleeves on the top and bottom are very pleasing to the eyes, but it is really inconvenient to wear them. I really don't know how Ji Ying and the others can walk flexibly and freely in their more complicated dark clothes.

He is now planning to bring some prunes and dates to the garden to see the white elk he caught.

That little guy is now regarded as a treasure by the entire Zhao clan, and a large deer garden was specially built for it, and a dozen or so servants took care of it, expecting it to give birth to new auspicious beasts.

However, there are not many people who can get close to it, Zhao Wuxi is one of them, and since Ji Ying came here once, I don't know if the same **** attracts, and the smart white deer quickly likes the new and hates the old, and keeps digging into Ji Ying's arms. Ji Ying saw the obedient white deer and couldn't put it down, so he simply moved to live near Luyuan, saying that he wanted to take care of it and give birth to cubs in the spring of next year.

Thinking of being able to meet Ji Ying, Zhao Wuxi couldn't help but look forward to it. He didn't understand what kind of emotion this was. He had a brother and sister relationship in this life, but there was another meaning that was unclear.

However, halfway along the way, he was stopped by Shu Renkuan (child servant) who was beside Zhao Yang, saying that the Lord had asked him to go to the main hall to discuss something.

"Is there something to discuss?" Zhao Wuxi's heart skipped a beat, what could it be?

Go straight along the avenue where two horse-drawn chariots can run in parallel, pass through the hall and the courtyard, and then come to the main hall, where Zhao Yang handles government affairs and receives guests and retainers. UU Reading www.uukanshu.com

Zhao Wuxi looked up and saw the high hall of the main hall, Zhu Linghe was shining brightly, and the painted black bird sculptures were facing each other on the eaves.

The main hall is majestic on the outside, but also very beautiful when you enter it.

Sitting on the main seat in the hall was a middle-aged man with a beautiful beard reaching his chest. It was Zhao Yang. He changed his uniform today, dressed as a senior official of the country, wearing a black and red robe, wearing a white jade ring, and wearing a bronze long sword. On the table in front of the seat, there were several gilt tiger talismans representing military power. .

Sitting on both sides of the main hall in order were the three brothers Bo Zhongshu and several of Zhao's capable retainers. Among them, there was also a doctor who was wearing military uniform and was authorized by Zhao Yang to take the sword to the high court.

Looking at this situation, almost all of the important retainers of the Zhao family have arrived, so there must be something important to discuss.

Of course, there was still one person missing, that is, Yin Duo, the head of the house with a goatee, was still not there. He was probably angry with Zhao Yang because of what happened a few days ago. It is said that after his winter hunt, he urged Zhao Yang to immediately sacrifice the white deer to the Marquis of Jin, but the result was another quarrel.

The second position that originally belonged to Yin Duo was replaced by Fu Sou, a charitable-looking doctor, who was Zhao Yang's third adviser. If Yin Duo was dismissed from the position of family chief by Zhao Yang this time, and Dong Anyu, who was in Jinyang, could not come back for the time being, he would be the most promising candidate.

Speaking of which, this is the first time Zhao Wuxi has been notified to attend a family meeting since he was a child.

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