Chapter 122 The shoelace theorem(1/2)
Chapter 122 Shoe Lace Theorem, Buy Text
Author: Fat Bird First
Chapter 122 Shoe Lace Theorem, Buy Text
Those who rushed to Changningwei were Chen Moqun, the mountain director of Yanping Academy, and his friend Mr. Tuohu, He Liangjun.
After the two entered Changning Guard, they found out that Su Ze was walking on the farmland by Jianxi at the entrance of the village. He Liangjun, who was anxious, directly pulled Chen Moqun out of Changning Guard and went to Jianxi to look for Su Ze.
At this time, the little radish head Lin Liangjun was directing the other children to measure the fields. These were the new fields that were dug out with the dug silt after the construction of the stream.
The silt at the bottom of the river is rich in nutrients, so the flood plains have been the cradle of human civilization since ancient times. The often flooded Nile River feeds ancient Egyptians. For civilization, flooding rivers is destruction and rebirth.
These fields are close to rivers, and as long as they are leveled, they will be high-quality paddy fields.
Su Ze asked the little radish leaders to clear the fields and survey and map detailed maps. Another purpose was to plan and design irrigation water conservancy facilities.
For children of the age of Little Radish Tou, it is the happiest thing to be able to attend classes outdoors.
Since awakening his math skills, Su Ze has added mathematics courses in addition to the original opening-level learning course.
Calculating the area of land naturally cannot refer to these children, but it is still okay to ask them to measure and draw maps. Lin Liangjun directed the children to pull the ruler and record while measuring.
He Liangjun hasn't seen such a childlike scene for a long time. He recalled his hometown. Before the Japanese turmoil, there were also running children in the fields in early summer.
He Liangjun is no longer able to complain about the current situation. The more the imperial court suppressed the Japanese, the more severe the Japanese were suppressed, even the great Songjiang Prefecture was poisoned by the Japanese pirates.
I didn’t expect that I could see such a paradise along the coast of Fujian.
He Liangjun walked forward and watched a proud child directing other children to measure the length. He took a charcoal pen and wrote and painted on the paper, marking the measured length on the paper.
Seeing the charcoal pen in the hand of Little Radish Head, He Liangjun asked with interest: "Little baby, what is this?"
Little Radish Head looked at Chen Moqun and He Liangjun, and saw the students and guards following them.
Although Xiao Luobu Head is naughty, she is also the son of a hundred households in the garrison. She also has some knowledge and knows that these two people have a good origin.
At least he kept his temper in his heart and said, "Two elders, these are charcoal pens."
Charcoal pens are actually pencils, and the Ming Dynasty has started to use graphite to make ink.
Some working people have found that using graphite can leave marks on many objects, and the earliest people who use charcoal pens were carpenters and stonemasons.
However, the charcoal pen on Xiao Luotou's hand was transformed by Su Ze. He ground the graphite into a cylindrical shape, then put a thin reed pole, and then wrapped it with a rag strip to tie it tightly, which was almost the same as a modern pencil.
He Liangjun looked at the symbols and Arabic numerals on the paper and asked, "What is this?"
Little Radish head said: "This is a number."
He Liangjun touched his beard and said, "Numbers? Interesting. This is very similar to Suzhou code, but it is more suitable for writing horizontally."
He Liangjun found that the numbers written on the head of the carrot were written horizontally, and he probably understood the usage of this number. Arabic numerals written horizontally are indeed more convenient to read than Suzhou codes written vertically.
Mathematicians before the Song Dynasty in China used calculations, and when recording numbers, they also used a symbol called Suzhou code.
The same way of writing Suzhou codes and Arabic numerals is simplified numerical symbols, and it is also very convenient to use them in conjunction with calculations. He Liangjun also has an industry in his home, and the numbers in the account book are also recorded using Suzhou codes.
After the abacus appeared, the plan gradually withdrew from the stage of history, and horizontal writing of the fountain pen was more convenient for calculation. So in the late Qing Dynasty, Arabic numerals completely replaced Suzhou codes and became the "number" that was popular across the country.
When Su Ze checked Yu Zongyuan's account, the number used in the account book was "Suzhou code".
Su Ze learned modern mathematics, and the mathematical formulas he remembered were also modern formulas. Anyway, for mathematics, numbers are just symbols, so what he taught Little Radish Heads were also Arabic numerals.
He Liangjun looked at the little radish head writing and drawing on paper, and he also saw that he was clearing the fields of Zhangzhou. He was also very surprised that the children in Changningwei also knew how to calculate the calculation?
Chen Moqun is the mountain captain of Yanping Academy. He looked at the picture of the little radish head, and the dimensions were marked very clearly.
Chen Moqun said to He Liangjun: "I heard that Su Rulin had run a ward school in Changning Wei, and these children should be his disciples."
He Liangjun touched his beard and said, "There is the spirit of scholars in the countryside."
Chen Moqun nodded. Although he didn't like Su Ze very much, Su Ze taught his children to study in the countryside, which was still very suitable for his appetite and was in line with the political correctness of literati and doctors.
Chen Moqun became interested and asked a few questions about elementary school. Xiao Luobu Head and a group of children could answer questions smoothly. Now he was even more satisfied with Su Ze.
He Liangjun couldn't help but sigh that Su Ze was indeed not an ordinary scholar.
When Su Ze received the news, he saw the huge team of followers of the two, and knew that it was a big shot from the county.
When he found He Chen and the others, He Liangjun was asking Lin Liangjun for advice on mathematics.
"You can't even understand the coordinates? With Tianyuan as the center and using the second line of longitude and latitude to determine the point, you can naturally calculate the area of the field by using this method."
Xiao Luobo found that He Liangjun was approachable and soon forgot his awe of scholars. He began to shout at He Liangjun, showing off Professor Su Ze's analytical geometry knowledge a while ago.
In fact, Xiao Luobo only learned a little fur, but He Liangjun was attracted by this calculation method.
He is a famous dramatist and a book collector who loves books. Scholars in the Ming Dynasty all have the ambition to be erudites.
He Liangjun is very interested in analyzing geometry. Using this method is definitely much more convenient and accurate than dividing and summing.
Land transactions are also very frequent in southern Jiangsu, and the most important thing in land transactions is the area of land.
Therefore, when trading in private, scholars who are proficient in math are often asked to calculate the area of land. This kind of person is called "counterfeiting scholar" in Jiangnan, which is also considered a kind of employment direction for scholars who cannot enter the imperial examination.
A scholar who can quickly and accurately calculate the area of land is also very high.
In addition to his love of opera, He Liangjun also likes to study mathematics without any trouble. He has bought and sold land before, and He Liangjun measured and calculated the land himself, but the methods he used seemed to be not as good as Xiao Luotuo said.
However, Xiao Luobotou only knows how to establish a coordinate system, and the answers are all calculated by him using the formula.
The two discussed for a long time, but He Liangjun couldn't figure out how to calculate the area.
Su Ze knew Chen Moqun, so he stepped forward and greeted him, "I have met Chen Shanchang."
Su Ze didn't understand why Chen Shanchang from Yanping Academy wanted to find him, but since he was here, Su Ze treated him with courtesy.
After Chen Moqun replied, he pulled He Liangjun and said to Su Ze: "Su Rulin, this is my friend He Yuanlang, and he is named Mr. Tuohu. Today he has something to find you."
He Liangjun and Chen Moqun are about the same age as those of Chen Moqun. They have a gray beard and a crest of a Confucian scholar. They look like a celebrity at first glance.
However, He Liangjun's appearance was not a famous scholar at this time. He had toner on his hands, and his beard was messed up because he thought about Joshita's calculation problem.
It turned out that Mr. Tuohu, who was in Yanping Prefecture, also saluted He Liangjun.
He Liangjun pulled Su Ze and said, "Su Rulin, is this child your disciple?"
"I am Master Wei Xuemeng, and I am just enlightening these children."
"Is this kid taught the method of Joshita? Can I solve my doubts?"
Su Ze looked at He Liangjun in confusion. Are you not a famous opera artist? Why are you interested in mathematics?
He Liangjun couldn't wait to say: "The child said that after establishing the coordinate system, he could calculate the area of the land through the formula. What is the principle?"
Professor Su Ze’s radish head is a calculation formula of the shoelace theorem. This formula can roughly calculate the area of a polygon, but the radish head only knows the formula and does not know the specific calculation principle.
He Liangjun also used the division sum method to verify the answer, and the answer was similar to the result calculated by the formula for the Little Radish Headband.
Moreover, Su Ze's method is faster and more convenient, and children can calculate it as long as they know the formula.
The Gaussian shoelace formula, also known as the Gaussian area formula, is a mathematical algorithm that can determine the area of a simple polygon in a determined area.
It turns out that I was asking this. The principle of the Gaussian shoelace formula is actually very simple. It is to divide the polygon into multiple triangles, and then calculate the areas of these triangles separately.
Gauss further formulated this method and gave a formula that can roughly calculate the area as long as you know the vertex coordinates.
In fact, in the late Ming Dynasty, the people also invented the same principle method, which is called the push-step gathering technique in the calculation book.
After hearing Su Ze's formula principle, He Liangjun verified it with a charcoal pen and said admirably: "It's amazing! It's so amazing! Su Rulin was able to invent this algorithm, and he was really a genius in mathematics!"
Chen Moqun knew his friend's math attainments. He could not understand the algorithm explained by Su Ze and He Liangjun just now, so he nodded mechanically. He Liangjun said that he was a genius, so he must be a genius.
Su Ze was wondering, these two old men came from the county town all the way to discuss mathematics with him?
He Liangjun finally remembered the serious matter and said to Su Ze: "Ru Lin, you wrote the article "Du Shiniang's Angry Treasure Box" in "Surprise"?
It turned out that it was for this article. Su Ze smiled and said, "Mr. Tuohu was written by his late-life student."
He Liangjun said: "This, I want to change "Du Shiniang's Angry Treasure Box" into a play and let the troupe rehearsal. What do you think about Rulin?"
Su Ze frowned and said, "I am afraid that I can't get into Mr. Tuohu's eyes if I don't understand the rhythmic rhymes in my later years."
He Liangjun hurriedly said, "I came here in person for the adaptation, and I also came to rehearse the show."
Seeing that Su Ze did not agree immediately, He Liangjun said, "Don't worry, Rulin, you are still the signature of this play. I am only responsible for adapting and arranging the composition. In addition, this essay contest will be the first. This hundred taels of silver are your money for money, how about it?"
One hundred taels of silver!
Su Ze's eyes lit up! Otherwise, it would be easier for scholars to make money! One article would cost 100 taels of silver!
For the authorization of an adaptation, these two old men came to Changning Wei. Is there little pirated copying in the Ming Dynasty?
Su Ze quickly figured it out that Du Shiniang's angrily treasure chest was published in the tabloid. Now everyone in Nanping City knows that this article was written by Su Ze.
If He Liangjun can't get Su Ze's authorization and adapt the opera privately, he will definitely be despised by scholars all over the city.
Su Ze now understood the importance of controlling public opinion. Although "Shooting the Case" is still a tabloid sold in Nanping, it can already make gentry like Chen Moqun and He Liangjun afraid of it and dare not snatch Su Ze's articles at will. He also had to respectfully spend money to buy Su Ze's adaptation authorization.
No wonder Donglin Academy was so famous in the late Ming Dynasty. If you master the public opinion, you will have everything!
Su Ze even firmly decided on running a newspaper. "Pai Chou Jing" not only needs to be done, but also needs to be a national newspaper in the province!
Su Ze agreed, and He Liangjun also relaxed. He was very confident in the story of "Du Shiniang's Angry Treasure Box", just like a famous director who found the best script, and he was confident that he would make a play that was famous in history books!
To be continued...