Chapter 125: Those People, Those Years (6)

Shi Quan lamented that because the gap between the stage and status gradually increased, so that when those once familiar names finally became two worlds with himself, Li Dazheng, whose name had appeared on his paper, experienced the final farewell of his relatives, but he could no longer see it. Pen "Fun" Pavilion www.biquge.info

He has only managed fifty families at most in his life, and he is an ordinary farmer. But when he died, because of his younger brother, there were many people who came to see him off, and he originally even had his mother who died early, but now he has many relatives, including the child brought by the woman when she married him is also surnamed Li.

I was happy, such as knowing that my younger brother had made meritorious contributions, such as living in the first brick house in the township, and being the first child who I clearly knew was born......

I have been sad, such as the destruction of fields in the flood that year, the death of my youngest daughter before she grew up, and the fact that I was too old to catch up with the last opportunity to make meritorious contributions......

When all this is over, it is also a relief to age peacefully and then dieβ€”since his teeth began to loosen and fall out a few years ago, eating has become a pain, drinking rice porridge for many years, and at least chickens and fish in the sacrifice.

The rules of funeral were set many years ago, and now no one dares to disobey them, so it has gradually become a habit and a matter of course.

After grief, the immediate family gathered in the house. A middle-aged man was holding the child of his sister-in-law, who was already surnamed Li, and after being timidly called "Fourth Grandpa" by the child, a strange smile appeared on his face.

The strange smile didn't come from the heart, he had a scar on his face, so the corners of his mouth always looked intimidating, and one eye always blinked like a star.

After the child got acquainted, he was no longer afraid, and mustered up the courage to ask, "Fourth grandfather, why do your eyes always blink?" There are always tears, and I don't cry anymore. Also, why do you have such a long scar on the corner of your mouth? ”

The middle-aged man laughed and said, "This is for your third grandfather, he was the smelting division who made the cannon musket, and the musket was not strong, and the musket exploded." This scar is the one left behind at that time, and it still leaves the problem of always blinking. ”

A man with a black face and thick arms beside him also said helplessly: "At that time, it was always blown up, and it was good if the cannon didn't blow up." Once, when drilling the ignition door of the cannon, the drill was a little far forward and not at the back, and the result was that the cannon exploded directly when it was tested, which was all tried little by little......"

When the two brothers talked about that year, they thought of that year, so they looked at the second brother together and asked: "Second brother, before the war in those years, I was selected to operate the cannon, and the third brother was smelting, but what are you king's descendants and disciples doing?" ”

Li He spread his hands and said, "What are you doing?" Thirty-seven years later, my classmates had finally completed the examination, and the king had taught us how to use pen and paper to calculate the squares, and threw us a lot of numbers for us to count, and he did something else in the smelter. ”

"In the summer of thirty-eight years, if you calculate it, hundreds of thousands of dollars can be opened with pen and paper, and it will be counted for a whole year. Then we started arguing about one thing, and we quarreled for four years, and finally we ended the quarrel before we could fight. ”

Li Shilang said curiously: "At that time, the entire Xia Kingdom was busy preparing for war, and you have been arguing for five or six years? What is the noise? ”

Li He thought for a while, and explained in the words that one or two younger brothers were most likely to understand: "I have quarreled for four years, just for one thing. Is a circle divided into two hundred and fifty-six parts? Or divide it into three hundred and sixty parts. ”

"Does it work?"

"Nonsense, do you think that these people who are operating your guns have the scales on those semicircular plates in their hands drawn casually? When you are fighting, you measure the distance, and then look at the bronze medal at the end of the cannon, which says how far the muzzle of the cannon is raised, and turn the cannon into the same process as farming. What about behind the scenes? You ask your third brother, how much did they do at that time? If you are lucky to cast ten guns, there is a good one, and if you are unlucky, you can't use them, otherwise why would you attack Xirong with three small cannons back then? ”

Li Shilang hurriedly shook his head and said, "I know this, but I want to know if there is a difference between two hundred and fifty-six parts and three hundred and sixty parts?" ”

The juniors who listened to the stories of the adults also felt strange, of course they knew who won the argument in the end, because as the children of these meritorious people, they could go to the best school, and the textbook said that it was divided into three hundred and sixty copies, so they felt that this should be taken for granted, and they did not expect that there would be a dispute at the beginning.

In fact, why did Li say it very simply, but what about the original controversy? As one of the best figures in Ji Xia Xue's Palace, some things are already difficult to explain clearly to relatives, not that they can't talk about it, but it takes three or five years to talk about it.

So he said briefly: "After we learned to calculate the square, we were associated with the Pythagorean triangle, and the king taught us to use a ruler to divide an angle in two...... And then we started arguing. A circle, two points and then four points and then eight points...... Divide it to and fro, and of course it is best to divide it into two hundred and fifty-six parts. ”

"But after dividing into two hundred and fifty-six parts, there is only one triangle that we are familiar with, and that is the same moment angle as the Pythagorean. But a hook of one, a strand of two, or a triangle of the same length on three sides, could not appear in these two hundred and fifty-six parts. ”

"Some people said, "Why not three hundred and sixty copies?" For if it is divided into three hundred and sixty parts, the one with the same rectangular angle on both sides will be forty-five parts, and the three sides will be the same sixty parts, and the hook will be thirty parts. If it is divided into one hundred and eighty parts, the two sides of the same rectangular angle are two and a half parts, and only three hundred and sixty parts are all common odd angles that can be separated and are whole. Of course, it's okay to divide it into seven hundred and twenty parts, but that's too much trouble. ”

"Just for this to divide into three hundred and sixty parts, I calculated for two years to figure out that this number is just right, and it happens to be a whole number. If it's two hundred and fifty-six copies, it's not whole. ”

"But the men insisted on two hundred and fifty-six points, because they asked me to draw a corner! I can't draw it. But if it's two hundred and fifty-six, they'll be able to draw one corner at a time. But I said that although I couldn't draw it, some of the common corners were neat; You can draw the smallest part, but the common corner is only one that is whole. ”

"It took me a month to calculate that the largest whole I could make was fifteen if I were divided into three hundred and sixty parts, and one if I was divided into two hundred and fifty-six parts. Later, I went to the king, and the king divided the circle into five equal parts, that is, he could make seventy-two. What can be done now is ninety, seventy-two, sixty, forty-five, thirty, fifteen...... Subtracting sixty from seventy-two is twelve, and fifteen minus twelve is three. ”

"So, I've been thinking about a question ever since. With a ruler and a ruler, divide an angle into thirds. As long as I can make it, I can draw a corner with a ruler and a ruler. It's been so long now, and I still can't think of any way to divide a corner in thirds. ”

"Hey! If you ask me about my long-cherished wish in life, I'm afraid that all I have left is to see someone who can divide the horns into threes. If someone solves it after I die, I must remember to tell me when I burn the paper! ”

The children hurriedly said, "We will write it down, and it will be written down in the family motto in the future, and if anyone can divide the corners with a ruler, we will definitely tell you at the family sacrifice." ”

A naughty child couldn't help but say: "If you use a very large ruler to draw a circle, it is like tens of thousands of steps to walk a circle, divided by three hundred and six is almost ......."

Before he finished speaking, Li Heyi's eyes widened angrily, and he picked up the wooden staff on the side and said angrily: "There is no such thing as the arithmetic!" ”

The kid was still young, and he ran away with a whoosh, and the kid next to him thought to himself that you forced your son to learn this thing, and we didn't necessarily like it, but we preferred to hear stories about the war in those days.

It's just that for Li Heyi, it is a war, a war without gunpowder. He firmly believes that arithmetic is very sacred, but this sacredness should be related to life, at least until everyone understands arithmetic and should not be beyond reality; The other group of people firmly believes that arithmetic is not just arithmetic, but above everything else, so that the circle can be divided into two hundred and fifty-six parts, and as for the common angles that are not whole, it does not matter, there must be a number that can be dealt with.

This kind of war between the two sides, without gunpowder smoke and blood, has been going on for a long time, especially after more than ten or twenty years, when the new generation of children who have been exposed to these things since childhood grow up. With Li He and they also became gentlemen, this kind of war became even more intense.

This war began with the geometric circles and angles, but the decisive battle began with the addition and subtraction multipliers of arithmetic.

Because of the appearance of circles and Pythagoreans, the children who supported Li He Yi were convinced that arithmetic should be integrated with reality, and that the most basic things should be changed in an artificially defined way, so that common things can be understood by most people. However, the other faction rejected it in the simplest way, and the number of the simplest isosceles right triangle could not be expressed in the form of whole or fractions...... They will write the method of opening the square, some people have calculated for a month and still do not see the end of the second square, this is a common thing, and what kind of number can be used to define this kind of number that is not endless?

Li Heyi's disciples gave a very arbitrary definition, thinking that a number is another number after it is squared, and there is no need to calculate what it is, just need to add a symbol to replace the number to be squared, and it will not affect the calculation; Others insist that arithmetic is mysterious, this definition is not convincing, since a number can not be calculated, then this number must represent some kind of incomprehensible connotation in it, you can go to its origin to find a new method of arithmetic, so that these seemingly endless numbers become endless, and even the origin of the beginning is wrong, so there are these unclear numbers exist.

Later, Li He and his disciples also launched a counterattack, according to the calculation of dividing the circle into two hundred and fifty-six parts, the forty-five of the three hundred and six faction is the same as the thirty-two of the two hundred and fifty-six faction.

So does it prove that forty-five is the same as thirty-two? If it is different, it means that the name does not affect the final result, that is, the so-called origin is meaningless.

From here, the two sides began to tear until their king only gave a clear but did not give a reason for the Pythagorean Pythagorean, the angle, the square and other things that seemed to be right, and began to consider why the most basic things were, so as to slowly determine the new realm of tearing - first sit down and figure out a basic definition that everyone agrees on, don't have weird situations like thirty-two equals forty-five, and then continue to tear on this definition that everyone agrees on - such as the most basic, the beginning of their tearing: What is a circle? What is a circle?

This kind of war was meaningless to the vast majority of people in the room at this time, but Li He and a few of his classmates and disciples were happy to do it.

But he wasn't the kind of person who looked a little stupid because he was immersed in it, and he had to stop telling the story he wanted to tell when he saw that his brothers and nephews were not interested.

The children secretly cheered, and pulled the other two grandfathers or uncles, who seemed impossible to tell such boring things, and asked about the story of the past.