Take a plane to the Ming Dynasty

Chapter 134 Test Lao Tzu's Arithmetic?

Show me off, do you have the qualifications? Didn't your father teach you manners? Is it useful to me?
Well, let it be useful.

I came to work on the first day, I endured it.

"That's good! Since Mr. Ma still has some things to deal with, I'm not in a hurry. I'll wait for you for a while."

Zhu Changyuan smiled all over his face, and the murderous look flashed in his eyes.

I ran to the yamen and turned around, and found many scrolls hanging on the wall. The scrolls were neither landscape paintings nor figure paintings, nor were they any poems or songs. figure it out.

"Hmph!" Liu Yunzhou snorted coldly, and continued, "What a pity, what a pity!"

Ma Qing seemed to be singing a double reed, looked at him and asked, "Brother Liu, what's the pity?"

Liu Yunzhou said: "I feel sorry for Mr. Zhu."

Zhu Changyuan was taken aback.

Why did your paralysis come to me again, but you looked at Liu Yun with a seemingly modest face and said, "I don't know why Mr. Liu is sorry for me?"

"It's a pity that Mr. Zhu is good at martial arts, but he can't make the best use of it." Liu Yunzhou stood up, refilled a cup of tea for himself, and looked at Zhu Changyuan while drinking.

Naturally, Zhu Changyuan would not think that this was a compliment, and naturally he would not say any compliments from this guy. He wanted to ignore them, but felt it was rude, so he said perfunctorily: "Master Liu is worrying about nothing, can I just ignore it?" It's not up to you to show off your talents."

Liu Yunzhou smiled and said, "The important place in the capital, the forest of government offices. Master Zhu can go to other departments if he wants to dawdle, but he doesn't know why he has to come to the government office of the Ministry of Industry. That's fine, but you still insist on coming to my Ministry of Cleaning Up Officials, don't you know that this division is the most difficult to mess with?"

Zhu Changyuan was speechless, almost wanting to cum on this guy's face, damn, is there anyone who talks like that, do I have a hatred for killing your father or taking your wife? Are you targeting me like this?Is my father coming to the Ministry of Industry just to dawdle? Is my father special?
Well, even if I come to mess around, what the hell is going on with you?

"No matter how big or small the officials of the Ministry of Industry are, from the second-rank minister to the ninth-rank secretary, all of them are Jinshi. At worst, they are also tribute students. In this way, they can't stand in the yamen, let alone a general who is a military officer. I'm afraid The errands of the Ministry of Industry will make adults laugh at you generously." Liu Yunzhou was open-mouthed, ridiculing again and again.

And tell me about my background, well, I'm not from a Jinshi background, I can't say no to you, can't I hide?
He ran to the wall and pretended to look at the scroll on the wall. After looking at it for a long time, he didn't see why. Suddenly, he heard Liu Yunzhou's voice next to his ear: "Come into the yamen of the Ministry of Industry, especially my camp repair department. The Department of Officials must not only be erudite and well-versed in modern literature, but also know all the strange books and tricks in the world. For example, the question in front of Mr. Zhu is an arithmetic problem. Haha, forget it, you won’t understand it even if you say it!”

Arithmetic problem?
Zhu Changyuan, who hadn't understood it just now, looked up again, and saw a few lines of text written on the scroll: Naota Ji
860 four steps, only the width of the cloud is not as long as twelve steps, and the width and length are a few steps each.

After reading it, Zhu Changyuan didn't understand it. To be honest, ancient texts, especially literature on mathematics, are quite laborious and time-consuming to understand, because there are technical terms in them.

For example, what is the "Naotian Tsuki" in this question.

For example, how do you understand the phrase "only the clouds are only as wide as the clouds are not as long as twelve steps long".

But hard work pays off, even after careful deliberation and reading, Zhu Changyuan has a general understanding of this question. The meaning of this question translated into modern sentences is: a rectangle, its area is 860 four steps ( square step), the width of the rectangle is twelve steps less than the length, how many steps are the length and width of the rectangle?
As long as modern people with a bit of culture know, this is a very simple problem of a quadratic equation in one variable. Junior high school students can understand it, and all the solutions are integers. You only need to know the root formula to solve it.

Taking a step back, even if he doesn't know the formula for finding the root, I frankly list the formula and substitute it one by one, it can always be substituted, right?

Isn't it just a problem of setting X and Y, isn't it just a problem of XY=12; X*Y=864?

For Zhu Changyuan, it was naturally a piece of cake.

However, this thing is indeed a big problem in ancient times, and it is also a problem among problems. It is very simple. The ancient people did not know the formula for finding the root of the quadratic equation in one variable.Integers are easy to calculate, so use substitution, but if you encounter decimal fractions, you will be forced to stop.

Zhu Changyuan silently calculated in his heart, but he really couldn't figure it out, so he picked up a piece of paper and wrote a system of equations, which was just said: XY=12; X*Y=864.

Then convert and substitute to get the equation X2-12X=864
Then transpose to get the standard formula of X2-12X-864=0.

Use the root formula to get two roots, one is X=36 and the other is X=-24 (rounded down)
The resulting square has a length of 36 steps and a width of 24 steps.

Liu Yunzhou didn't see anything that Zhu Changyuan drew like a ghost drawing talisman, but he thought it was impossible for Zhu Changyuan to try it out in such a short period of time, so he said again: "This question is written by Yang Hui, a master of numerology in the Southern Song Dynasty. "Detailed Explanation It is normal for Mr. Zhu to be unable to figure out a question in Nine Chapters of Arithmetic, after all, many old academics of the Imperial Academy do not understand it very well."

Ma Qing sighed deliberately, and said gloatingly: "I said Master Liu, you are embarrassing him, Master Zhu is a military officer, how could he know how to count, it's like asking you to lead soldiers to fight, can you Have you defeated Huang Taiji?"

Liu Yunzhou was straightforward, and said: "You can't say that, I know I can't beat Huang Taiji and I'm not suitable for war, but I have self-knowledge, so I won't bite the bullet and run to the barracks to beat up my face to make myself fat."

The inside and outside of the words are all ironic, and they are naturally talking about Zhu Changyuan's visit to the Yamen of the Ministry of Industry.

Zhu Changyuan grinned at the math problem on the scroll, shook his head, and two words that he hadn't used for a long time flashed in his mind: idiot.

No, it should be said to be pretentious!
On the wall of the yamen of the Qing Dynasty Officials, there were not only scrolls hanging on this scroll, Zhu Changyuan walked a few steps from that scroll, and came to the next scroll, which also had a question written in ancient Chinese.

This question can be regarded as an easy-to-understand doggerel, which reads:
Nine hundred and ninety-nine coins,
Buy a thousand pears in time,
Eleven pears and nine pears,

Seven fruits cost four pennies.

Q: How much is the pear fruit?
This question is much easier to understand. It roughly means: there are 999 copper coins, and the pears and fruits purchased with this money are exactly 1000. Among them, 11 coins can buy 9 pears, and 4 coins can buy 7. The question is how many pears were bought and how much did they cost?How much fruit did you buy and how much did you spend?

(End of this chapter)