After Gongsun Qing shook his head, everyone's eyes looked at Zu Yuzhi in unison.

Even if the Shengchen does not speak Chinese language and does not understand Chinese customs, he is not slow to react, and naturally understands that the man in white who is focused on him is not an idle person.

So he took the initiative to leave the table and talked with Zu Yuzhi accompanied by an interpreter.

The holy minister very sincerely asked Zu Yuzhi to share a relatively deep research proposition on arithmetic in the Central Plains.

Zu Yuzhi hesitated for a moment, but still took out the unfinished secret biography of "Fixation".

He really wanted to sell the contents of the book.

Writing a book that no one can understand is really a lonely thing.

: Ahhh

Zu Xuanzhi took out the book, and while showing off the picture, he used body language to make a comparison, but he still translated it as a rare scratching of his ears and cheeks.

In short, the book is divided into five chapters.

Chapter 1, Cutting the Dry with the Branches, and Cutting the Branches with the End.

It is an in-depth study of Liu Hui's circumcision, cone cutting, and circumcision.

According to modern mathematics, it is differential calculus.

In the second chapter, the end is the branch, and the branch is the stem.

This is the algorithm for reintegrating and finding the area after the cutting method.

That is, the integral science of modern mathematics.

Chapter 3, remove the leaves and save the branches, remove the branches and save the stems.

This chapter talks about simplifying, arithmetic analysis, and partial differentiation when there are multiple unknowns.

Chapter 4, the number of embellished into trees, embellished trees into forests.

This is a technique by studying the changes of different variables and finding out the original operational relationship between them.

It was roughly equivalent to today's differential equations.

Chapter 5, there is a map, and the case is a case.

This is actually the simplest chapter of the book, but it needs to be based on the research of the first four chapters.

Study functions, analytic geometry, these algorithms on a graph-by-graph basis.

If this book is put on the present, it can be directly changed on the cover and pasted with the four big characters of "Advanced Mathematics", and then it can be directly sent to major universities as textbooks.

He talked about it for about two hours, from noon to about dinner time.

The irrelevant crowd was a little tired of talking,

But the little circle hasn't finished talking, but the Shengchen, Xin Dufang, Tao Hongjing, and the poor interpreter haven't finished talking.

To be honest, if it weren't for King Wei's intention to make the country strong, this banquet would have been dispersed a long time ago.

However, if it is stiff at this time, it will save trouble, and you can just turn the table and change the dinner.

The holy minister listened attentively for two hours,

When he finished speaking, he tilted his head horizontally, vertically, diagonally and repeatedly swayed.

Some of them express their affirmation of Zu's writings and think that they have gained something.

But it's more about expressing that I can't figure it out and don't understand.

Don't say that he doesn't understand, Xin Dufang, Tao Hongjing can only understand no more than thirty percent.

Tao Hongjing stroked his beard and sighed,

"This book of "Fixation", I have heard Zu Wenyuan talk about it three times before and after.

Today, I heard it again, but most of it was still in the clouds.

But every time it is compared to its truth, the Zu father and son rely on it, and the results are basically the same.

The poor road can only worship one way, and no longer think about it. ”

At this time, the holy minister had long lost the courage to win, and he did not dare to put on a posture of examination except for expressing his willingness to ask for advice and learn from him.

With this half-day of emotional exchange, in the evening, it is possible to talk about relatively formal topics.

The King of Wei first thanked the Tianzhu Mission for their help,

With their participation, the gold content of this uncovered event is naturally a few points higher.

It's just that the Wei scouts met the mission by chance in the territory of Shu,

Since it was a beautiful coincidence, the mission naturally came for another purpose.

So the king of Wei very tactfully asked the holy ministers about the intentions.

The retainer stood up respectfully and began to introduce the predicament encountered by the Himeto dynasty.

To the west of the Green Ridge, there used to be a big country and a noble frost.

and its empire collapsed, the rise of the Chaori King, the recovery of Northern Tianzhu, the unification of Tianzhu, the establishment of the Jiduo Dynasty flourished.

But since the death of King Chaori, Ji Duo has actually been going downhill.

The White Xiongnu in the Babin region re-established the Bada Empire, quickly took control of the Kushan homeland, and began to encroach on the Tianzhu territory recaptured during the Chaori Dynasty.

By the time of the young king, the Bada Empire had invaded the Ganges River valley and began to squeeze the strategic hinterland of the Jido Dynasty.

The young king did not want to sit still, so he sent an envoy to ask for help from Great Wei.

King Wei pondered for a moment, and Zhengse replied,

"Da Wei and Ji Duo are thousands of miles apart.

The south is separated by Xiao Qi, the southwest is separated by the mountains outside the mountains, and the west has to pass through the vast Western Regions, and it is necessary to reach Tianzhu from the south.

The geography of the mountains is not suitable for large-scale marches,

And Xiao Qi will definitely not use the road to let the Wei ** team pass, which is a taboo for soldiers in the Central Plains.

The allusion of the false Dao Vayu, Yao Sixia, you translated it for me when you were translating.

The westward route is even more tortuous.

My Great Wei's control over the Western Regions is not stable,

Rouran, Gaoche, Tuyuhun, Kangju and other big countries are very sensitive to our movements, and it is not wise to rashly use large armies.

Therefore, it is more difficult for my Great Wei to directly enter the Tianzhu War.

However, since the two countries intend to become friends, there is no reason for us to ignore them.

I, the Great Wei, will send military experts and smelting craftsmen to Tianzhu,

But I also hope that Tianzhu can exchange one thing. ”

After listening to Yao Sixia's translation, although Shengchen was a little disappointed, he did this when he thought about it carefully.

What King Wei promised was already the greatest help they could provide at the moment.

It's just that I don't know what King Wei will ask for, is it a specialty of his hometown?

It is an important strategic resource, and only Tianzhu was produced in the world at that time, but unfortunately the King of Wei did not know this thing.

When the holy minister asked questions, King Wei's answer made him laugh dumbly,

"I need Tianzhu's Holy Yellow Dye.

Today's Huaxia printing and dyeing Ming Huang uses the precious mineral deposits of the Yellow Emperor's red essence.

This yellow mineral powder is found in Hexi and has very low yields.

I intend to replace the Han deep coat with a yellow robe to restore the appearance of the Yellow Emperor's reign.

However, due to the scarcity of raw materials, it is really painful to use it for printing and dyeing.

I heard that the clothes of the holy monks of Tianzhu are dyed yellow, and I think that there must be special dye resources in your country.

I, the Wei State, have no way to give you direct military assistance, so I don't have a lot of mouth.

A little dye should be fine, right? ”

The holy minister did not hesitate for a moment, and immediately agreed.

King Wei really doesn't have much appetite, and he still has these authorizations.

Just talking about this Tianzhu Shenghuang, I have to talk about the god cow of drowning gold again.

Although modern Indian scholars have proved through "rigorous experiments" that small gold can really be extracted from the urine of their holy cow Gil,

But you all know, it's good not to break it.

It's not hard to say that there is a god cow drowning gold, and it is not a fantasy.

For example, the dye of this holy yellow is indeed refined by cattle drowning,

In ancient times, it was exported to Europe and Asia, and it was worth a lot of money, and it did earn a lot of real money for Tianzhu.

The master fed the cow with mangoes, and found that the digestive system of the cows could not break down the yellow pigment contained in the mangoes, and would excrete all the chromogenic substances through the urine.

Once dried, these cattle can be used as dyes.

The yellow pigment in the dye comes from mango, and through the action of cow kidney, it becomes soluble and has good color fixation.

It can be described as a very original and environmentally friendly green process.

》》》》》 time to knock on the blackboard《《《《《

The costume of the Chinese emperor began to take the Ming Huanggon dragon robe from the Sui Dynasty, and it is well documented at this time. But the Sui was made by Wei, so in the Northern Wei Dynasty, this wind direction should have begun. Since the Han Dynasty, the Yellow Emperor's twelve chapters of gon robes have not been dyed bright yellow, mainly because of the scarcity of dyes. However, Tianzhu is close to the tropics, and there are more natural plants with bright colors, so there has always been no shortage of yellow dye. The beef drowning Indian yellow mentioned in this article is a real ancient process, and the finished product was once exported to the British Empire, and it also has a history of application in the modern textile industry.

We haven't finished talking about the past of Tianzhu in the previous section. However, the history of Tianzhu is estimated to be not the focus of attention of the officials, and it should not affect the reading mood too much if it is put back a little. However, if there is no reasonable explanation for the two calendars, the author will probably receive the blade soon.

There are many things, without making horizontal comparisons, we never know how much ancient China is ahead of the world. This is true in arithmetic. Aya Bodo, a master of Indian arithmetic, has the same status as Zu Chongzhi in China. Let's skip the calendar part for now. There are three main breakthroughs in arithmetic: the deduction of pi to the fifth decimal place; The formula for calculating the area of triangles is summarized, and the concept of suspected trigonometric function is proposed. A breakthrough in series algorithms and limit understanding.

With these three points alone, compared with the three generations of the ancestors of China's arithmetic masters at that time, we can only reply with "Hu~".

When we listen to Westerners evaluate Chinese mathematics, of course, they will affirm many facts that cannot be erased, such as the ancestral rate, the presquare algorithm, and so on. But in general, they still have a deep discrimination against Chinese mathematics, saying that ancient Chinese mathematics has no concept of irrational numbers and no concept of trigonometric function calculation, so the calculations that can be carried out are very preliminary.

Bah~

As mentioned in the main body of this article, China's arithmetic focuses on calculations and has an independent system, which is completely different from the West in terms of concept. Modern mathematics in the West is developed using the vocabulary of ancient Greece, and if you think that their concepts are accurate and the words are accurate, it is because of the advantages of the native language. As the author mentioned before, is "Geometric Original" the original? Ancient Greek books that are completely retranslated in modern languages.

It is true that China has not explicitly put forward the concept of "irrational numbers". However, the mathematical crisis of irrational numbers was not settled until the end of the nineteenth century in the West, and the first people who discovered irrational numbers were thrown into the sea as heretics and fed to fish! If it is believed that the West was the first to master irrational numbers because of the discovery of a niche scholar who has been abandoned by the world, then can it be said that China's "Xuanye Theory" proves that China has mastered the truth of the universe? Is it possible to prove that China was the first to land on the moon with "Youyang Miscellaneous"? But China did master the algorithm of square squares, and there is a whole chapter of square opening problems in the Nine Chapters of Arithmetic. Not only square, but also cube can be opened. This article is just one example:

"Nine Chapters of Arithmetic Shaoguang" has another 3,97,215,625 steps. Q: How square is geometry?

Answer: 63,0025 steps.

The prescription said: ...... Specific prescribing algorithm.

The square is used as one of the basic algorithms in the nine chapters of arithmetic. The calculation of opening squares and cubes was quite mature by the time of Zu Chong. "Nine Chapters of Arithmetic" is equivalent to a junior high school textbook of one of the ancient six arts and mathematics. So to discuss issues like the root number two is too naïve and naïve in China!

Let's talk about trigonometric functions like this. Chinese mathematics does not use the scale method of noting angles, and has always used the method of noting angles of trigonometric functions. That is, the Pythagorean metaphysical angle method. India does not either. Let's not talk about those ambiguous statements, just look at the substance, isn't the essence of Pythagorean is trigonometric operation?

As early as the Zhou Dynasty, in the "Zhou Sutra", there is a saying that "the Pythagorean multiplies each other, and divides it by the square".

"Nine Chapters of Arithmetic" says: Pythagorean is said: Pythagorean multiplication, merge, and divide by the square, that is, the string. And the strand is multiplied by itself, and the rest is divided by the divided, that is, the hook. and hook self-multiplication, to reduce the string self-multiplication, and divide the rest of the square, that is, shares.

This is China's own definition of trigonometric functions, sine = hook / string, cosine = strand / chord...... Analogy. All trigonometric functions can be expressed in Pythagorean terms, and the magnitude of all angles can be labeled with these trigonometric values. We have our own definitions, formulas and calculations, so why copy the West entirely? You say that China has not mastered the application of analytic geometry other than the right triangle? Please, Descartes, the originator of analytic geometry, was a mathematician in the 17th century, and Zhang Cang and Geng Shouchang in the first century AD are not a little unfair?

The application of triangular relationships in China shines brightly in metrology. When reading Liu Hui's book "The Book of Calculations on the Islands", the American mathematician Z said, "China's achievements in mathematical surveying have surpassed those of the West by about a thousand years. "Yes, because they didn't really master trigonometric complex calculations until a thousand years later. When trigonometry was introduced to China, Chinese and Western scholars generally believed that John Tang and Xu Guangqi's "Great Test" did not surpass the content of "Island Calculation". Here's an example of island arithmetic:

Today, it is expected that there will be white stones under the clear abyss. On the shore, the hook is three feet high. Slanted at the water's edge, into the lower strand four feet five inches. Looking at the white stone, enter the lower strand two feet four inches. and set the weight on it, and the distance between them was four feet. He also obliquely looked at the waterfront from the end of the hook and entered the upper strand four feet. Looking at the white stone, enter the upper strand of two feet two inches. Q: What is the depth of the water? Answer: One foot and two feet.

The technique says: look at the water, the lower strand is subtracted, and the rest is the upper rate of the upper strand of the lookout stone. The upper and lower shares of the Wangshi are subtracted, and the remaining is multiplied by the water stocks as the lower rate. The two rates are subtracted, and the remainder is real between the multiplication moments; Multiply the difference by two. It is true that the law is one, and the water is deep.

This example question can be understood, high school ancient literature, trigonometry, geometry, all graduated. Since I don't draw pictures, I can't explain this problem, so about the specific algorithm of this problem, you can only Baidu by yourself.

What level does this "Island Sutra" belong to in ancient mathematics textbooks? Like the nine chapters of arithmetic, it is also a junior high school textbook. This section is already a bit long, and we will talk about the ancient mathematics textbooks, the ancient notation, and the magical "Fixation" in the next chapter.

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