Chapter 129 Artillery, 9527!
"Yi An, the most important thing for a person is to find his or her own position. The proper use of parabolas in artillery fire is something that I and Imperial Physician Sun can handle. Why would a liberal arts student like you get involved?"
"Hmph, the officials look down on me. My family is very open-minded. We don't just allow people to read books like 'Instructions for Women' and 'Biographies of Remarkable Women'. We also read classics, history, poetry, songs, notes, novels, and anecdotes."
"Mathematics, one of the six arts of a gentleman, is a required course!" Li Qingzhao gestured with her fingers and said proudly: "Nine Chapters on the Mathematical Art, Zhoubi Mathematical Classic, Haidao Mathematical Classic, Wucao Mathematical Classic, Sunzi Mathematical Classic, Xiahouyang Mathematical Classic, Zhangqiujian Mathematical Classic, Five Classics Mathematical Art, Jigu Mathematical Classic..."
"Li Qingzhao, please be aware of your status. You are a 43-year-old woman. Stop acting like a little girl all the time. Is being cute something you should do at your age?"
"You have to find your own position. You know, a person with a good knowledge of poetry and literature is naturally elegant. Intellectual beauty, abstinence, and a young mature woman, this is the path you should take."
Zhao Huan tried to persuade her earnestly, asking why it was so difficult to see Li Qingzhao wearing a windbreaker and glasses.
"Lululu!" Li Qingzhao made a face. "A man remains a boy until he dies. Isn't that what you said? So there's nothing wrong with a woman remaining a girl until she dies, right? Intelligence is worthless in the face of loveliness!"
“…”
Zhao Huan almost couldn't breathe. You are applying what you have learned and learning from it, learning by analogy, right? You dare to confront me, right?
Who could have imagined that Li Qingzhao, the noble and aloof Li Qingzhao who would rather die than surrender in the prison of the Ministry of Justice, would degenerate from a wolf into a husky after only a few days of freedom?
Today I will let you know what the dangers of society are and what it means to shoot yourself in the foot. This is your own will. Let's feel the fear of mathematics together.
In today's world, the Mathematical Book of Ten Classics is indeed a remarkable work on mathematics. Many of the mathematical problems are among the earliest recorded in the world. It contains a total of 546 mathematical problems, divided into nine categories:
Square Field - acreage calculation and fraction calculation;
Corn - grain transaction calculation;
Decay score - algorithm for allocating proportions;
Shao Guang - square and cube roots;
Commercial work - engineering mathematics problems, mainly based on volume calculations;
Equal distribution - more complex proportional issues such as taxation;
surplus and deficiency—double setting^ method;
Equations - solutions to linear equations and addition and subtraction of positive and negative numbers;
Pythagorean - Application of the Pythagorean Theorem.
It would be truly remarkable if Li Qingzhao had studied all of this, but what Zhao Huan and Imperial Physician Sun studied was how to adjust the angle to make the artillery accurately hit the target, which involved the [theoretical ballistic calculation problem of artillery shells] involving multiple disciplines such as physics, chemistry, mathematics, and geography.
There are so many new things here that Zhao Huan and Doctor Sun also had to cross the river by feeling the stones, transferring the theory into practical artillery operation instructions, such as this:
1. The range is 800 steps, the height is 25 meters, 3.5 kilograms of gunpowder is required, the gun angle is 14.65, and the flight time is 16 seconds.
2. The range is 280 steps, the height is 13 meters, 1.2 kilograms of gunpowder is required, the gun angle is 8.76, and the flight time is 6.5 seconds.
3. …………
This is a very large and tedious task. It is unrealistic to expect to make temporary calculations on the battlefield. The artillery can only form muscle memory through rote memorization.
"It's so interesting, I want to learn it, I want to learn it. I can just point and shoot at anyone I want, it's so cool!" Li Qingzhao was very excited, this was as fun as editing the "Jinshilu".
Zhao Huan: Could you please not say things in such a way that would cause misunderstanding?
"Let me give you an example, listen carefully:
The Tiger Dun 2519 self-propelled artillery, which was improved by the Firearms Inspectorate, has an initial velocity of about 828 meters per second. The mass of the shell is about 4.3 kilograms. The angle of the barrel can be adjusted from -3.5 degrees to 70 degrees, with the lowest being 3.5 degrees downward and the highest being 70 degrees upward.
If we were to push this Tiger Crouching 2519 self-propelled artillery and prepare to attack the enemy on a 500-meter-high hill 2 kilometers away, how much angle should we adjust to accurately hit the target?
Initial velocity, projectile mass, angle…was this really a math problem? Li Qingzhao looked at the problem on the paper, and the world spun. She doubted her life, and even the future seemed to grow bleak. This wasn't fun. This wasn't fun at all.
"Listen carefully, it's so interesting. I want to learn it, it's amazing." Zhao Huan told Li Qingzhao exactly what he said.
Li Qingzhao: “…”
Zhao Huan drew a line on the paper: "If the Tiger Dun 2519 self-propelled artillery is in this place, and the enemy is on a small hill in the distance, the horizontal distance from the artillery to the enemy is 2 kilometers, which we mark as x. The enemy is on the small hill, and the vertical height is 500 meters, which we mark as y."
"Now, let's get to the point. After the cannon leaves the barrel, it has an initial velocity, which we'll denote by Vo. This initial velocity can be broken down into two velocities: horizontal and vertical. The horizontal velocity is Vo multiplied by cosθ. It will move in a uniform straight line because there's no external force in that direction. The vertical velocity is Vo multiplied by sinθ. Under the influence of gravity, the vertical velocity will gradually decrease."
"So, let's say it's uniform horizontal linear motion. Then when it hits, x should be equal to Vo multiplied by cosθ, multiplied by the time t. Here, the angle θ and t are unknown quantities, right?"
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