Chapter 16: Arithmetic Comparison

"Ovary, today I will test arithmetic with you, each with a problem for the other party to solve, whoever solves first wins, if you win, I don't have to bear any consequences, if I win, you must unconditionally help me do one thing, as long as it does not violate morality, it must be implemented unconditionally, right?" I sat face to face with Zhang Liang in Wentao Academy, Yan Lu as evidence, I seriously stated the content and rules of the competition. When Zhang Liang heard my words, he couldn't help but laugh, nodded and said, "That's right!"

"I said you should be serious! If that's right, it's a word, and Senior Brother Zilu is the proof!"

Seeing that I was so serious, Yan Lu smiled and nodded.

"Then Yun'er, will you do the question first or will I do it first?"

I thought for a moment and replied, "It's better for you to come up with the question first!"

"Okay, that's my topic. Zhang Liang took out the bamboo slips he had prepared in advance and handed them to me.

I took the bamboo slip and opened it to see, I was stunned, what are these short and long horizontal lines? There are two rows of patterns, the first row of three figures, the second row of two figures in the last position is vacant, each pattern is made of two short horizontal or one long horizontal and vertical rows side by side, I racked my brains and thought for a long time, before I asked: "Ovary, are you asking me to look at the graphics to find the rules?"

Zhang Liang smiled evilly at me and said, "Yun'er is really smart, it seems that this question is not difficult for you~"

Yan Lu nodded, and reminded with a smile: "Miss Ziyu, it's time for you to ask the question next." ”

Although I really didn't see anything about Zhang Liang's question at once, he would never solve the question I came up with, so I simply put his question aside first, thinking that I would test him first.

"Ovary, do you know what a circle is?"

Zhang Liang chuckled again when I asked this, "Yun'er, do you think I won't know Yuan?"

I didn't look at him, "I mean the definition of a circle!"

"Oh, definition, what do you say?"

"Round, one in the same length"

"Hmm~~" Zhang Liang put on a very teachable look, his voice dragged the elder, and he couldn't stop nodding, but then immediately picked up my words and said: "Round, the rules are written and handed over." ”

I am ashamed, they all say that Confucianism and ink do not get along, Zhang Liang actually read the "Book of Ink". I want to count you Zhang Liang as powerful and full of poetry and books, but even if you know the definition of circle, even if your IQ is as high as heaven, it is impossible to answer this question to me.

"Ovary, my problem is to calculate the circumference of a circle. ”

"Circle, diameter one and Wednesday. Yun'er, you're not going to test me for this, are you?"

"That's right, I'm just testing you, but~" I smiled, posed as a teacher teaching students seriously, and said: "But ~ this disciple, your answer is wrong~!"

"Oh, what do you say, Master Yun'er, please advise!" Seeing that I still have hole cards, Zhang Liang smiled even deeper, as if he was looking forward to what I would say.

"Hmm~~ Seeing that you are so studious, I will give you a good talk. I'll start with the debut question, let's do the math separately, and you can see how much error you have. "I said at the head of the road, it is quite a new thing to be a teacher for Mousheng, and I am also happy to be there, "Let's calculate the diameter of twenty first, and you will say how much the circumference is in the ovary?"

"Well, twenty is sixty. ”

"That's wrong, it's more accurate that 10 should be 12:8 on Saturday. ”

"Sixty-two...... Dot?...... Eight?" Zhang Liang's face was full of puzzlement. That's what I'm looking for!

"For example, if the diameter is one foot, then the circumference is three feet and one inch and four minutes, and the diameter is twenty feet, and the circumference is sixty-two feet and eight inches. I don't believe we can measure it. I took out the wooden ruler and long rope that I had prepared in advance, and said, "Let's find an open space to draw and look at it, measure it, and see if what I said is right, how about it?"

Zhang Liang and Yan Lu looked at my battle and smiled at each other. Zhang Liang stood up and leaned over and said, "Master Yun'er, then please put ~~"

I found an open space, inserted a branch to fix the center of the circle, and pulled the rope around the center of the circle to draw a circle on the ground. Then I handed the rope to Zhang Liang and said, "This disciple, you can measure the circumference of this circle." ”

Zhang Liang looked at me, smiled, and saluted me respectfully, took the rope, and circled along the circle I had drawn, confirming the end point of the connection. Then he took my wooden ruler and measured it.

I was very satisfied when I saw that Master Mousheng was so obedient and obedient. Yan Lu, who was on the side, also looked at it with interest, smiled approvingly at me, and said, "Miss Ziyu's arithmetic skills are indeed superior, and Yan Lu is not as good as herself." On that day, you were not ashamed to ask for advice with an open mind, which shows the girl's humility and studiousness. ”

Yan Lu is calm, even the praise is so sincere and sincere, without a little vanity, I was praised by him as if my moral sentiment suddenly rose to a higher level, and it was a great honor for me to be appreciated by a true gentleman, so I hurriedly said modestly: "Senior Brother Zilu, I have won the award~! ”

At this time, Zhang Liang already had the result, he handed me the ruler and said, "Zhang Liang is willing to bow down, may I ask how Master Yun'er got such a precise circumference?"

"Hehe...... I pretended to be mysterious, "This heavenly opportunity must not be revealed~Oh~ Then the ovary, do you admit defeat?"

"Yun'er, let's say who solves the problem first will win, although I haven't solved your problem correctly, but you haven't solved my problem yet, so there is no victory yet!" Zhang Liang smiled at me.

"Okay, you wait, don't you just find the rules, give me some time and I'll figure it out. I said it angrily, but I was so weak that I couldn't understand what these patterns meant. I tentatively looked at Yan Lu, but Yan Lu just looked at me and smiled without saying a word. I didn't think that this little action of mine was caught by Zhang Liang, and he immediately reminded: "Yun'er, for the sake of fairness, you can't ask others to help you solve the problem." Let's make an appointment for a day, and if you don't have a solution tomorrow, then we'll be tied. ”

"Okay! One day at a time, I don't believe I can't solve it!"

Zhang Liang's eyebrows were raised, the corners of his eyes were full of smiles, and his expression seemed to be appreciative and curious.

"Yun'er, then I'll wait and see. ”

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[Note]

[1] Mozi's "Book of Ink" wrote: "Yuan, one middle and the same length." The meaning is that a circle has a center, and from this center to the points on the circle are the same length. Mozi's definition of a circle is exactly the same as the definition of a circle in Euclidean geometry.

In the "Book of Ink", it is also written: "Circle, the rules are written and handed over." Further, a circle is a line drawn with a compass where the end point intersects the starting point. Circles can also be inspected with compasses.

[2] "Path one week and three times": Originally, there was a record of "one week and three days of the path" in the "Zhou Ji Sutra", and the π value was 3. Diameter: The diameter of the circle. Zhou: The circumference of a circle. The ratio of the diameter of the circle to the circumference of the circle is 1:3, which is the approximate ratio of the pi calculated by ancient arithmetic.

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