068 Hong Jingrun
Where are you going to make such a big deal? Of course, I went to the arithmetic institute to become a doctor. The new leather bag contained an abacus and a pile of paper, on which were the mathematical formulas and principle exercises that Hong Tao had taken the time to sort out, but there was no pen and ink.
So far, he has not learned to write traditional characters with a brush, and most of them are considered good. But this can't help but Doctor, can't he write himself, and others can't write either?
Now that you don't need Lian'er to follow you when you go out, it's not suitable for a female streamer to drill in the yard all the time. The wasp not only gives people injections, but also writes well with a brush.
It just so happened that the bodyguard and secretary were not a waste of talents, and he said that he forgot how to write after his head was kicked by a donkey, and he was replaced by a scholar. Anyway, the arithmetic is played in the courtyard, who cares if the text looks good or not.
Originally, I wanted to print these things on paper and then take them out to meet people, but the volume of business in Hoedodo became bigger and bigger, and the six printing presses and more than 20 workers were too busy in two shifts, so they didn't have time to do private work for themselves, unless they first stopped the imperial court's official newspaper and the scriptures of Xiaoyan Temple.
To say that Gao Cuifeng is really not weak in business, he found the small temple closest to the Horse Mansion as soon as possible, and persuaded the presiding officer of the temple to print a hundred scriptures first, and then continue after the effect is satisfied. If you are not satisfied with this 100 copies, you should give them away, and you will not receive a penny.
When Hong Tao heard about Gao Cuifeng's way of doing business, he was even more at ease with Baohuitang. The intellectuals of this era could not only go on the horse to command the war, but also be the best at making money, and there was no fake Qing Gao Jin who the literati of the Ming and Qing dynasties disdained to talk about money.
This is very good, it is very in line with the six arts of gentleman's etiquette, music, archery, royalty, calligraphy, and numbers. Who stipulates that a gentleman has no division of grains, no diligence in the five bodies, and no strength to bind the chicken?
In the orthodox Han culture, the gentleman should be well-rounded, and only the hypocrite in the castrated culture should pretend to be a sanctimonious virtue. The end is that what you eat is fragrant, what you do is not effective, there is not enough success, and there is more than enough failure. It is only the skill that will be lost by subservient pandering, but also spirit and conscience.
Of course, Hong Tao is far, far away from a gentleman, but he knows no less things than a gentleman, and 60 arts are almost enough. He didn't really plan to give lectures to the students when he came to the academy, the systematic courses could not be taught for the time being, and the cognitive gap between the two sides was too great, and it was even difficult to communicate on academic issues.
It is difficult for him to understand the arithmetic of the ancients, and it is difficult for the ancients to accept his modern mathematics. This problem cannot be solved for a while, so we can only take our time, learn from each other and get familiar with each other.
The abacus is a communication tool between the two sides, and what is not clear in language can be explained clearly with the abacus, on these dozens of small beads, ancient and modern learning has collided, and at the same time, it is slowly merging.
Now that he has the tools to communicate, Hong Tao has the means to influence these students and even teachers. The solution is simple, it is to arouse their interest in new calculation formulas and calculation tools through various mini-games and competitions. As long as there is interest, it is basically not far from recognition.
The first thing that needs to be of interest to everyone is Arabic numerals, just in terms of mathematics, it is indeed more convenient to use Arabic numerals for calculations than to use Chinese characters, at least it is much easier to write.
The most important thing is that I have received modern mathematics education, and it is too difficult to transform the knowledge in my head into the form of the ancients, let alone myself, a second-hand mathematician, even if I find Chen Jingrun, I can't do it.
"As you have just seen, the numbers I use are faster than the current ones. The number of techniques is different from poetry and songs, and there is no need to pursue the slightest beauty, freehand, and connotation, and it only needs one thing, which is to calculate the result correctly. Even if your handwriting is beautiful, the answer is calculated by me first with these words, and I will win. ”
Hong Tao didn't say much, just found two students and asked them to write from 1 to 100. I'm done writing it myself, and they're still more than halfway there.
"Sir, the cloud calculated the size of the ball last time, maybe you can calculate one or two, let me wait for seeing to be believing?" However, this kind of communication can only be done in private, and there is no lecture by Dr. Hong Tao in the curriculum of the Mathematics Academy, and his mathematical theory is regarded as a wild way of unknown origin.
The ancients highly respected birth and bloodline, not only the origin of people, but also the origin of learning. If Hong Tao can prove that this set of things is from the hands of Zhang Heng, Zhang Shuang, Liu Hui, Zu Chongzhi and other ancient masters, he will immediately be regarded as a master of mathematics, not to mention lecturing, and the court will not be able to judge it.
It's a pity that he can't, so the more highly accomplished people look down on his tricks. That's right, the method that Hong Tao came up with is indeed accurate and fast, but in the mouths of most professors and doctors in the academy, it is classified as a kind of trickery, which belongs to the category of difficult to get into the hall of elegance. To put it bluntly, it is not the right way and the inheritance is not orderly.
But not everyone stubbornly thinks so, relatively speaking, younger students with less mathematical attainments and a small number of PhDs and teaching assistants are more willing to touch new things.
As long as it really makes sense and has an effect, they don't care whether the inventor is famous or not. Hong Tao's theory that no matter whether a black cat or a white cat catches a mouse, it is a good cat, and it is easier to be recognized by these people.
In fact, purely in terms of algebra, Hong Tao can't come up with too many topics that can show his ability, but geometry and probability are different. They are closer to daily life and can be very intuitive for people to see the effect after mastering.
For example, calculate the area of a circle, calculate the volume of a sphere, calculate the Kelly equation for gambling and financial investment.
The ancients calculated pi very early, and Zu Chongzhi's book "Fixation" is also a compulsory study in the arithmetic academy, which clearly records the conversion ratio of circumference and diameter, and also divides it into two kinds, the approximate rate value and the secret law value.
The approximation rate is 22/7, and the tantric rate is 355/113. In fact, the two are the same thing, and the latter is more accurate than the former.
However, when calculating the area of a circle in this era, it is still according to the formula in the "Commentary on the Calculation of the Zhou Dynasty": "The paths are multiplied by themselves, three, four and one." ”
Translated into the vernacular, the area of a circle is squared by the diameter of the circle, multiplied by three, and divided by four.
In this formula, pi is fixed at three, which is called the diameter of one trip. If it is calculated in this way, it is probably not a big problem to estimate it, but if it is really specific to the numbers, the error is still very large.
But the ancients were so persistent, and in the Qing Dynasty, they still regarded pi as three, and the formula for calculating the area of a circle was unchanged from that of the Song Dynasty. Why is this really not clear, there is already the correct value but no one uses it, the evil door.
At least on this point, society has not progressed for a thousand years. If you don't advance, you will retreat, our mathematics has actually been regressing, and in the end, the Europeans told us the answer calculated by Zu Chongzhi thousands of years ago, using guns as a medium to tell us again, and then I really remembered it and used it. This is not a cheap bone, don't give it for nothing, you have to beat it to understand.
In order to prove that his calculations were correct, Hong Tao also made some simple teaching aids, such as copper balls that the craftsmen in the house took the time to make.
This ball is really round, Hong Tao is difficult to understand, the craftsmen do not know what pi is, just with a pair of eyes, a pair of hands, a pair of very primitive calipers, can control the error to such precision as they like.
When the volume of the copper ball was calculated, Hong Tao pressed the ball into a small clay basin filled with water, and it drank the water with a clatter. That's right, the ball is two-petal glued and hollow.
The specific gravity of pure water is 1 gram per cubic centimeter, ignoring parameters such as impurities, temperature, air pressure, etc., 1 cubic centimeter of water is also equal to about one gram. In this case, you only need to weigh the weight of the water contained in the copper ball to roughly prove that Hong Tao's calculation method is correct.
In fact, there are still quite a few errors in the conversion between volume and weight, but this is already very accurate for the ancients. Just talking on paper can be eight or nine without leaving ten, what else do you need a bicycle?