Chapter 1519: 1519 - - 41-20 Mathematical discourse

The carriage rattled along.

This carriage, like Lorenz's cart, was equipped with a plate-spring suspension system, and Jin was barely able to avoid getting carsick.

The road was dirt mixed with gravel. However, there were no ruts, and the carriage was moving smoothly.

Only Jin and Ka-cea were in the carriage. Jin decided to take this opportunity to ask Katya about various things.

"I may ask you some crazy questions, ......."

Jin prefaced his question with the words, "I may ask you some crazy questions, but I'm not sure... ." Cachéa nodded her head a little warily.

"The moon is round, right?

"What about ......?"

Cachier looked at Jin with round eyes.

"Have you ever seen a square moon, ......?"

"What?　Oh, no, it's okay if you haven't ......."

Jin realized that the moon here does not wax and wane.

He had not been observing it every night, but it had remained round for the past half month.

However, there might be a moon with a waxing and waning cycle of about one year, which led to this question.

However, it was clear from Katya's response that she had never seen such a moon.

"Jin-san ......?"

It seemed to be a question that made Katya question her own common sense, and she looked at Jin with a cold stare.

"Umm...... moon (Yunyi) is <?"

"...... is ah ......?　Moon (Uny) is Moon (Uny), right?　Is there any other way to call it?"

His usual tone of voice has dropped and he is concentrating on his work.

"Yes, there is. or ......."

"What's a satellite?"

"......, that's where it starts. ......."

Jin had a vague feeling that his knowledge was low compared to the level of the tools.

"That's why I said you might hear some strange things."

"......Yes, indeed, I did. Are you ...... having trouble remembering?"

This time Jin looked at me with a little worried eyes. I felt a little ashamed of that, but I decided to continue with my question.

"On a different topic, how do you learn to read, write, and calculate?

"In my case, my ...... parents taught me to read and write. Calculation came naturally when I helped my aunt with her store.

"By calculation, do you mean addition, subtraction, multiplication and division?"

But even this question was not answered,

"What else is there?"

He replied, "What else is there?

"Like squaring ......."

"What's that ......?"

Katya looked a little interested, so Jin decided to explain it to her, since he was free anyway.

"It's a term used when you multiply two numbers by the same number, like two times two is two squared," she said.

"Well, 3 times 3 is 3 squared, 10 times 10 is 1 square of 0?"

"Yes, yes."

"...... what does that mean?　Can't I just multiply 3 by 3, or 10 by 10?"

"Ummm ......."

Jin was stumped.

Not being a math teacher, Jin did not know how to explain such questions.

Especially since there was no step-by-step explanation to begin with.

"...... Let me digress for a moment, do you know what area is?"

"You mean the size of land, right?

"Well, it is not limited to land. ...... So, how do you find the area?"

"In the case of a rectangle, it is the length multiplied by the width.

"In that case, if the length and width are the same, you can use it."

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"I understand it somehow, but it doesn't make sense to me."

"I'm stumped. ......"

On the topic of numbers, Katya gets very angry.

Jin decided to attack with a different approach.

"Well, how many sides of a square with an area of 2 square meters are long?"

"Let's see... ........."

Katya was puzzled.

"If one side is 1, the area is also 1,2 is 4.1.5 is 2.5. 25......1.4 would be 1.96. ......1.41 gives, uh, 1.988. 1.1.42 is ......2.01 64......"

Jin was amazed at Katya's math skills, but interrupted her.

"Stop. You know that ...... addition and subtraction are pairs, right?"

"Yes, yes. Multiplication and division are also pairs. ......In that way, there is something to be paired with squaring, isn't there?"

Katya shows her keen insight.

"Exactly. It's called ."

"A square root, is it?"

"Yes. Yes. It's because square is another name for square.

I see. ......The square root is useful for finding the length of a side from its area. So the square root is useful for finding the length of a side from its area.

That's what it means.

"That's interesting!　Jin-san, you know a lot of amazing things.

"Not so much, I think. ......

"I don't think so," he said, "but I'm modest. ...... is there anything more?"

It seemed that Katya had a strong interest in mathematical things, Jin decided. He imagines what would happen if he gave her a chance to learn mathematics properly.

But there is nothing he can do now. So, Jin asked a question that came to his mind in the mathematical field.

"Do you know how to find the area of a circle?"

"A circle? ...... That's a difficult question. The radius multiplied by the radius......oh, you can get the approximate area by multiplying the square of the radius by 3. ......Jin-san, do you know a more accurate way to get the area?"

Jin laughed.

"No, I don't know if it's accurate or not, but 3.14 or 3.14 instead of 3 would be more accurate. 159 would be more accurate."

"3.14159. ...... How many digits are there really?"

"Infinite, they say."

Infinite?　How do you know it's infinite?　If you are calculating it, ...... even if it goes on to 10,000 digits, you might be done with it at the eleventh ten thousand digit."

I knew that Katya had a good mind for mathematics, Jin thought to himself.

"I'm not an expert, so I can't explain it that well. By the way, that value is called pi.

"Pi, you say? ......"

Katya looked impressed.

"You're a wonder, Jin-san. He knows things that everyone else knows, or knows things that no one else knows."

"Is it a memory confusion after all?"

"I don't know. I don't know.

Then she looked at Jin again with sparkling eyes,

"Please tell me more!"

He said, "Please tell me more!

Jin smiled inwardly at the reversal of his position as a listener, and after thinking for a while about what to talk about, he decided to talk about the <>.

It could also be called <>, but I don't think the name <> is well known in this world, so I decided to go with <>.

"It's called <>."

"The theorem of three squares?"

"Yes. Well, do you know what a right angle is?"

Yes, you mean 90 degrees, right?

Jin knows that in his former world, Ars, the metric system and other units of measure came into use in the past when Shuki Tsezi spread the use of mathematics on Earth.

I wonder if something similar happened in this world in the past?　I wondered in a corner of my mind.

However, outside the carriage, one of the guards was listening to this conversation.

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