Chapter 218 Zhang Tianxuan

For the first time in his life, Zhang Fangping felt that his brain was a little hypoxic: "This is the avenue!" The road is simple, and it can be explained from here! There are so many people who study mathematics, why has no one ever mentioned this trick? ”

Su You said with a smile: "Ming Gong, let's think about these later, let's solve this problem first, and there are a few more theorems to use here." ”

"First of all, we have to prove the perpendicular diameter theorem and the Pythagorean theorem......"

"Next, we're going to prove the similarity triangle theorem......"

"Okay, so let's connect the highest point of the arc and the beginning of the arc, and now we have two similar triangles, this, and this, right? Next, we set the height from the top to the water surface as the arch, the diameter of the great circle as the diameter, and the width of the river as the chord. ”

"Now we have a lot more conditions, and we can use these theorems to list such a relational equation......"

This equation can be changed like this...... Again...... Okay, master, will you prescribe a magic technique? Yes? Then you do the math. ”

The master said, "Wait for me to get the chips!" ”

After being at the mercy of a while, the master laughed: "It's calculated!" Ming Gong, now we have calculated the diameter of the great circle! ”

Zhang Fangping was overjoyed: "Amazing! ”

It's not right to think about it: "Wait, I was almost taken crooked, what's the use of knowing this?" We're not going to count that...... Is the arc long? ”

Only then did the master come back to his senses: "Yes......"

Su You said with a smile: "Knowing the diameter, you can get the circumference by the circumference." ”

The master nodded again and again: "Yes, yes, yes!" ”

Su You took out another booklet: "This is a trigonometric function table, which has the conversion relationship between right-angled edges of different lengths and corresponding angles. From it, we can get the angle of the arc. ”

"The circle is three hundred and sixty degrees, and the arc length can be obtained by dividing the number of angles of the arc by three hundred and sixty, and then multiplying by the length of the circumference."

The master's pen kept coming: "The arc length is multiplied by the width of the bridge to get the area of the bridge deck!" Divide by the area of a single stone to get the number of stones! ”

After finishing the calculation, he threw away the pen and gave a long salute: "Childe is really a genius in arithmetic!" Cangshu is not either! ”

Su You bowed his hand to Zhang Fangping and said: "Ming Gong, in propositional logic, unproven narratives are called conjectures, and conjectures judged to be true by reasoning can be called theorems." The system constructed by countless theorems is the mathematical system. Geometry is a branch of mathematics, and everything, in the final analysis, is proved from these simple axioms. This is the essence of mathematics. ”

Zhang Fangping stroked his beard: "Wonderful! Mingrun, how many theorems have you proven now? ”

Su You took out a book from his school bag: "This is a new teaching material for Wei'er, children are weak, and if they want to support themselves, they must be assisted by machinery, and the foundation of machinery is mathematics." The Land Temple Primary School proceeded from the practicality and obtained some certificates, and there were two books before and after, each with three volumes, called "Arithmetic Preliminary" and "Geometric Preliminary". ”

Zhang Fangping opened it, and there were some graphics and symbols inside: "Wei'er, can you understand it too?" ”

Shi Wei began to complain: "I'm not as smart as Brother Xiaoyou, this book doesn't seem to be difficult, but the title book is weird." ”

"Brother Xiaoyou has a lot of questions, you have to use a very ingenious method to solve them, if you can't think of it, send it back to him, Brother Xiaoyou will use a red pen to correct me, and then punish me to do it five times!"

Zhang Fangping asked, "For example?" ”

Shi Wei said: "For example, I can add, subtract, multiply and divide, but Brother Xiaoyou said that with three five and one one, addition, subtraction, multiplication and division, each number can only be used once, and it will be difficult to get the result of twenty-four in the end." ”

The master suddenly realized: "This is the extended question, just like the last question of the remaining theory......"

Zhang Fangping smiled at Su You: "I came out of the Ji Division, and now I am still leading the household servant, so I naturally know the importance of mathematics. Try it today, it seems that it really went from simple to complex, and realized it on its own. ”

"The old man was also taught by no one back then, and he borrowed books to read through and was sensible. It's rare, Mingrun, you have the style of an old man when he was young! ”

Su You was frightened: "How dare you, Su You is dull, but Ming Gong is unforgettable, this is incomparable......"

Zhang Fangping turned to Su Xun and said: "Zizhan Ziyou, the pen is strong, and the knowledge is solid, there is no need for me to say anything, you father and son, just prepare for next year's exam." ”

Su Xun bowed and said: "In the spring of next year, we will come to Chengdu early to prepare for the Yunsi Gong test." ”

Zhang Fangping waved his hand: "No, with your talent, you must go to Jinghua to take the test!" ”

"Ouyang Neihan's generation of Wenzong, Zeng Gong, another disciple, is quite close to Dasu's article, I will definitely be happy to see you when I want to come and see you."

"Although I disagree with him politically, I don't have any contact on weekdays, when the old man was doing the imperial history, he even criticized the actions of the Qingli people, and Uncle Yong was also very dissatisfied with me."

"But now the court is still upright, and our disputes are for the sake of state affairs, and each has its own insistence, which does not hurt the way of a gentleman. Speaking of national talents, I think you are all in the same mood, so you have to go to Bianjing to participate in the exam, make friends with Chinese people in Beijing, and let your reputation spread. ”

"Lao Lei and I are far away from the court, and there are some things that I can't do, but don't worry, I will definitely entrust you to Uncle Yong and Shengyu."

Su Xun felt inexplicable: "Thank you Ming Gong for your support." ”

Zhang Fangping said with a smile: "The matter of a letter, this is not called carrying. ”

He turned his head and looked Su You up and down: "But this kid, can you stay by my side and train?" ”

What? Su You's eyes widened, I'm so destined for an old man?

"Uh, Ming Gong, don't be surprised, I'm ...... in Meishan Academy"

Zhang Fangping waved his hand: "I will go to Longshan Chang to say, Chengdu Xuegong has the original copy of the "Thirteen Classics" engraved in Shu, and Yizhou as a whole is not as good as Meishan, but the teaching level in Chengdu is still good, how to drop?" Look down on my three-list background? ”

Old man, don't talk nonsense, Su You is going to be scared to pee! Your old man is the "genius of the world" promised by Song Shou and Cai Qi. The chosen person who was born in the two-time system, who dares to be disrespectful to your old man?!

Speaking of Zhang Fangping's background, we have to mention a special examination system at that time - the subject system.

The procedure for making the subject examination is more cumbersome than that of the imperial examination. Those who take the examination are recommended by the ministers in the imperial court, usually low-level local officials, or they can be well-known local sages, and then take a preliminary examination, and finally, the emperor himself will produce the examination questions.

The imperial examination is held every three years, while the examination is irregular.

The selection is very strict, far more perverted than the Jinshi test.

First of all, the Renzong Dynasty stipulated that those who participated in the system must be recommended by two ministers.

To get the recommendation quota, you also need to submit the usual strategies and 50 opinions to the two systems, that is, the Hanlin bachelors who are in charge of the internal system and the external system, the intellectual system, and the Zhongshu Sheren, which are generally all article masters.

After reading it, the two systems felt that this baby was very reasonable, so they could be sent to participate in the pavilion exam.

There are six questions in the secret pavilion test, and all roads are obstacles.

First of all, the scope of the questions is extremely wide - the Nine Classics, the Classics, and the Official History.

Don't be busy, that's just the main thing, next, I have to side with the Seven Books of Wujing, that is, the Art of War series issued by the Northern Song Dynasty as an official book - "The Art of War", "The Art of War of Wu Zi", "Liutao", "Sima Law", "Three Strategies", "Wei Zhenzi", "Li Weigong Asks Right".

Not endlessly, but also include "Chinese", hundreds of schools.

Wait, the above is the text, how can these alone reflect the forced qualifications of our Great Song system candidates? Therefore, the commentaries written by the great Confucian scholars of all dynasties for these scriptures are also within the scope of the examination......

Using the system that Su Shi participated in as an example, the six essays of the cabinet examination are as follows:

1. "The King Doesn't Rule Yidi", source: "The Legend of the Ram in the Spring and Autumn Period", He Xiu's note;

2. "Liu Kai Ding Hong and Xian", source: "Hou Han Shu Liu Kai Biography", "Hou Han Shu Ding Hong Biography";

3. "Etiquette, Righteousness and Faith Are Enough to Become Virtuous", source: "The Analects of the Confessions", Bao Xian's commentary;

Fourth, "The Situation is Not as Good as Virtue", source: "Historical Records: The Biography of Wu Qilie";

5. "Etiquette is Centered on Raising People", source: "Hanshu Lile Zhi";

Six, "Drunk and Prepared for Ten Thousand Blessings", source: "The Book of Poetry, Daya, Shengmin", Zheng Xuanjian's note.

Among the six questions, there are three classics and three histories, three texts and three annotations, and the scope can be said to be extremely wide.