"All of you here today, in addition to these four uninvited guests, as well as me and Gao Yuan, there are also ...... In addition to the students of Jiuzhangtang, there are always a few families who have a rich collection of books, so they have been in contact with "Nine Chapters of Arithmetic" and other arithmetic scriptures. ”

Zhang Shou almost pointed out the emperor directly, but fortunately, he reined in the precipice in time and took the students of Jiuzhangtang vaguely. At this time, seeing that among a large number of people, there were quite a few people with wandering eyes, including even Lu Sanlang's two elder brothers, he couldn't help laughing.

Obviously, because of the emperor's praise for Lu Sanlang's prodigal son turning into a genius, the eldest and second eldest of the Lu family were not convinced, and they all went to read the scriptures.

Even if, as the middle-aged man said just now, it is even difficult for the people to find a trace of "Nine Chapters of Arithmetic" these days, but the Lu family must have it, otherwise where would the little fat man look at it? As for what the two brothers gained after seeing it, as long as they deliberately avoided his gaze at this time, they knew that there were nine kinds of dragons, each with different bad arithmetic talents.

He smiled slightly, and continued unhurriedly: "However, after reading it, I think most people are confused and throw the book aside. Why do you have the opportunity to learn, but you can't go deeper? Is it because you don't know the blessings in the midst of blessings, so you don't know how to cherish them, or is it because the author doesn't care whether others can understand it, so ordinary people can't understand it at all? ”

As soon as he said this, the middle-aged man who had angrily accused Zhang Shou before couldn't help but be stunned, and then he was so angry that he rushed to the crown: "What nonsense! Zhang Shou, you are living the belly of a gentleman with the heart of a villain! How can you distort and slander those outstanding works that have been left behind by everyone who has worked so hard to do so? ”

Zhang Shou was not angered by the other party's accusation, he glanced at Ye Mengqiu, and saw that the person had stopped to solve the problem, and he didn't know if he was disturbed by the tense atmosphere at this time, or if he couldn't do it in the first place, so he smiled: "Those works are really outstanding, I want to ask you, just the "Ancient Calculations" mentioned by Ye Xiaogongzi just now, can you understand all of them?" ”

The middle-aged man who was still indignant just now was suddenly choked and his face was flushed, and he said for a long time, and then he said: "That's because my qualifications are shallow, so I can't fulfill the essence of my predecessors!" ”

"I can admit that my qualifications are shallow, but I am unwilling to slander the former sages, and I am indeed of good character." Zhang Shou quietly praised people, and then said neatly, "Then, even if you can't understand everything, then you don't have to be arrogant." Because even if Tang Shi Guozi opened the arithmetic department, the middle school students were not really able to study the ten books of the arithmetic scriptures. ”

"The Ten Books of Arithmetic, "Sun Tzu" and "Five Cao", together need to be studied for one year, "Nine Chapters" and "Island" are added together for three years, and "Zhang Qiujian" and "Xiahouyang" each need to be studied for one year, "Zhou Ji" and "Five Classics" are also added to one year, and "Notes" and "Three Equal Numbers" are just enough to study in the practice of the other eight classics. However, there are two scriptures that are different. ”

"First, the "Ancient Calculations" mentioned by Ye Xiaogongzi just now, this book alone will take three years to study. As for the other more difficult book, it is the "Fixation Technique" mentioned by Gao Yuan just now, this book has been lost, and it took four years to study in the Guozi Supervision Department of the Tang Dynasty. ”

And judging from the time spent on the ten books of the Sutra, it adds up to a total of fourteen years. Some people may say that scholars study hard for ten or even decades in order to take the imperial examination, isn't that the same? But you must know that it is the Guozijian, which dynasty and which generation of the Guozijian, in addition to arithmetic, what other subject can allow people to read in it for fourteen years, and after fourteen years, they may not be able to get started? ”

Zhang Shou got up from his seat as he spoke, and when he arrived in front of the middle-aged man, he bent down to pick up the book that he had just thrown on the ground, and then gently dusted off the dust on his head with his hand, and then turned back to look at everyone.

"You just asked why you didn't pursue the arithmetic scriptures that were once lost by your ancestors, but instead introduced the symbols of small foreign countries, and I can answer you now. In this way, take the second question in the ancient scriptures, if the Taishi is to build a viewing platform as an example. ”

Zhang Shou snapped his fingers casually, this is his usual action in Jiuzhangtang, and at this time, it is often the time for him to write hard and let people see the extraordinary board book skills. Today, the students of Jiuzhangtang came to cheer for Lu Sanlang, the first fasting chief, the most, and when they heard this voice at this time, they didn't know how many people immediately felt cold in their backs and numb scalps.

Sure enough, the next moment, Ah Liu came in with a blackboard in one hand, and two things that were not light were gently and skillfully placed in front of Zhang Shou, and he quietly retreated with a white pen, but after a while, he went and returned and sent two more blackboards......

When he drew the gourd back and forth again and again, a total of ten blackboards filled the huge place, and even the emperor couldn't help covering his forehead. He just felt that Lu Sanlang had stolen the limelight through the assessment, but now it's good that Zhang Shou, who is a teacher, has personally rolled up his sleeves and gone into battle!

However, the emperor is indeed very curious, you must know that "The Ancient Sutra" is indeed as complicated as Zhang Shou just said, anyway, did he understand it back then...... And when he watched the step-by-step "New Edition of Ge's Arithmetic", he was even less interested in reading the awkward and complicated questions and answers in the "Sutra of Ancient Arithmetic".

"Looking at the title, it can be seen that this viewing platform is in the shape of a child. If you are not familiar with "Nine Chapters of Arithmetic", but have read "Ge's Arithmetic New Edition", then let's change the term, this is a rectangular quadrangular platform. That is, the top and bottom are rectangles parallel to each other. ”

After repeating the title first, Zhang Shou began to explain, however, his explanation is actually redundant, and those who can understand his explanation at this time will never be a layman, a term like a child, ordinary people can't understand it, but those people absolutely understand.

However, he deliberately used the proper nouns in the "New Edition of Ge's Arithmetic" to replace the child, and after a little explanation, he began to write on the blank blackboard.

"The width of the rectangle on the top surface of the quadrangular platform is x zhang, the length is x + 3 zhang, the length of the bottom rectangle is x + 7 zhang, the width is x + 2 zhang, and the height of the observatory is x + 11 zhang. In this way, the volume of the quadrangular table is ......"

Zhang Shou didn't look at everyone's expressions, and continued to take care of himself:

“V={[2(x+7)+x+3](x+2)+x[x+7+2(x+3)]}(x+11)/6=[(3x+17)(x+2)+x(3x+13)](x+11)/6+17400……”

"Finally, the volume equation ......"

Zhang Shou directly annotated it in the style of cubic and obtained a one-dimensional cubic equation. He glanced up at everyone, and saw that the students of Jiuzhangtang were thoughtful, Lu Sanlang on the side was already dancing with his eyebrows, and the emperor was also gently tapping on the table with one hand, and the four Ye Mengqiu who had just broken in, some were frowning and puzzled, and some were thoughtful, so he smiled slightly and continued to write.

Solving a cubic equation was naturally difficult for the ancients, especially in the era when there was no symbol system.

But for Zhang Shou, he didn't want to think about it, so he directly used the general root-finding formula of Caldan formula.

When he used a bunch of formulas, wrote two blackboards, and finally came up with a result of x=7 (the other two complex roots were directly discarded by him), he only heard an exclamation from behind him.

"Is this the solution to the Tian Yuan Technique? It's so simple and intuitive...... "Although Ye Mengqiu just shouted a sentence, and the voice stopped abruptly, but seeing that the three senior brothers suddenly looked at him, he still showed an expression of annoyance but unwillingness.

Zhang Shou glanced at the other party, and saw that a large pile of blackboards that Ah Liu had moved in were still empty, so he smiled, and casually solved the remaining equations of this question one by one, and then solved the third problem of the ancient arithmetic scripture that also involved three unary cubic equations, this time using four blackboards. When it came to the fourth problem, he simply omitted the problem solving step and solved the three cubic equations casually.

Only then did he drop the white pen, then turned around and clapped his hands gently, looking directly at the four uninvited guests who were menacing at the beginning, but at this time they looked disillusioned, and said with a faint smile: "Now do you understand?" ”

"Young Mengtong learns the history of scriptures, there are "Three Character Classics", there are "Thousand Character Texts", but what about arithmetic, is Jiujiu Song also a basic arithmetic book? Throughout the ages, so many arithmetic masters have written works for people who have at least a foundation in arithmetic, but where does the so-called foundation come from? Meng Tong can learn the three-character scripture and the thousand-character text, but Meng Tong can learn nine chapters of arithmetic? Obviously, no. ”

"However, if there are these simple and intuitive symbols, as long as they can be recognized, Mengtong can learn from the simplest addition, subtraction, multiplication and division, from all kinds of simple graphics, and from the simple application of numbers."

Zhang Shou didn't know if the four people who came today had read the "New Edition of Ge's Arithmetic", and listed the table of contents at the moment, talked about the step-by-step content, and which knowledge points of the arithmetic scriptures were involved - this is also something he has been busy sorting out for more than a year, of course, most of them are the credit of Ge Yong and Chu Ying Qi Jingshan, in order to lay the most solid foundation for the so-called Ge's arithmetic.

Sure enough, after he explained like this, among the four people in front of him, the round-faced young man Ye Mengqiu lowered his head deeply, and the remaining three looked at each other, quite embarrassed to find a crack in the ground but had no place to drill.

Seeing this scene, Zhang Shou had to glance at today's real protagonist Little Fat Man: "Gao Yuan, today is your crown gift, there are friends from afar, you have to be responsible for entertaining well." The sake of the banquet should also be given to these guests! ”

"That's that!" As long as he has the upper hand, Lu Saburo doesn't mind putting on a humble posture at all. Seeing him enthusiastically greeting the four uninvited guests, while ordering his subordinates to add seats and tableware, and at the same time beckoning people to sit down, Zhang Chen, who had just endured sleep, breathed a sigh of relief.

He whispered to Zhu Er, who was also blue on the side: "I now feel that when Lu Sanpang and you were mixed up with us, they were really hidden. I am an outstanding noble in my life with you, he is different, he may be like Wang Xiaotong who he just looked down on, he wrote a book and said, in the future, he may be called an arithmetic master! ”

Zhu Er didn't know how to face Zhu Ying last night, and stayed at Lu's house for a night, and at that time he had already seen the different lives of Lu Sanpang in the past and now - just the stacks of textbooks and exercises in the human study, he felt his scalp tingle when he flipped through them.

At this time, when he heard Zhang Chen's words, he snorted lightly and said: "If Lu Sanpang has that day, he also deserves it, this kid has indeed spent a lot of effort to study arithmetic, otherwise he would not be able to be the head of Jiuzhangtang, let alone the East Palace...... It's just that when Lu San becomes a master of arithmetic, my brother-in-law should become a master of arithmetic first! ”

At this moment, there was some chaos in the huge place, and not many people heard Zhu Er's words, but the emperor was deaf and clear-sighted, but he heard it keenly.

found that Zhu Er was not envious, jealous and hateful because his former fox friends and dog friends were now powerful, and he used Zhang Shou to suppress Zhang Chen, he thought about it for a while, and beckoned to Zhu Ying, who was looking around and bored. Seeing that this girl got up and sat down beside him without any scruples, he smiled and said, "Yingying, you go and tell your second brother that I will give him a task." ”

Zhu Ying suddenly became curious: "What task?" He is very sensitive now, and he shouted at me before, saying that as long as he is willing to put in the effort, he will not be worse than Lu Saburo! ”

"That's right." The emperor smiled, and then said lightly, "There is not only one road in this world, but most scholars can only take the road of studying for the imperial examination and being a eunuch, cultivating one's self and ruling the country and leveling the world." But your second brother has wealth and glory anyway, if you are really willing to spend effort, maybe there will be a day when you will be famous in history! ”

If the name of the history is changed to the glory of the ancestors, Zhu Ying still feels that Zhu Er does have a great opportunity, but even the famous ministers of the past dynasties may not be able to leave a name in history - don't look at Zhang Shou is now in full swing and hot, but a hundred years later, five hundred years or even a thousand years later, maybe no one will remember his name, how can his second brother have such a great opportunity?

Zhu Ying was full of doubts, but when the emperor whispered something to her, she was stunned.

After staring at the emperor for a long time, she couldn't help but say sullenly: "Uncle, are you sure this is not a hollow gnocchi?" If my second brother really listened to your words and buried himself in it, this would not be a year and a half, three or five years, or even ten or eight years! Don't look at his lack of longevity in the past, he is different now than before! ”

"I just saw that he was different from usual, so I asked him to do it. In the past, your second brother's virtue, I didn't mention it. ”

The emperor smiled, and then saw that Zhang Shou had returned to his seat, and was talking and laughing with the elders who could at least be Zhang Shou's father or even grandfather, so he sighed and said: "I used to think that those who are close to Zhu are red, and those who are close to ink are black, which is a bit exaggerated, but now I believe it." ”

"The closer anyone gets to Zhang Shou, the greater the impact. Whether it's your second brother, or Zhang Chen, Lu Zhu, Zhang Wu, Zhang Lu, or San Lang Shilang...... Everyone is changing for the better. Not to mention those students in Jiuzhangtang, that kind of positive style of study has not been seen in Guozijian for a long time. ”

"From this point of view, Zhang Shou is indeed a good teacher."

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