Translation of Nine Books, Nine Chapters and Nine Poems

In September of the seventh year of the Southern Song Dynasty (A.D. 1247), Qin prefaced with nine poems: the majestic Kunlun Mountain,

The origin of the world lies in mathematics.

The sage discovered the great origin of the computational calendar,

The exquisiteness of Dayan originated from Zhouyi. Performing with odd bamboo sticks,

Divide one into two and discard the multiple of the module.

Solve the unknown with "Da Yan Shu",

We must explore the mystery in order to know the reason. The occurrence and development of mathematics,

It depends on practical application to make a judgment.

I have nine chapters of math books here

First, record the principle of geese. Although the almanac knows how to calculate,

I don't know why these algorithms do this.

I tried to explain, to make people understand,

Let's look at the promotion from special to general. This chapter is called "Wild Goose", ranking first. Seven planets, the sky rotates,

Everything in the world is changeable.

Using "synthesis" to approach the motion of celestial bodies,

Measure the sun during the day and observe the stars at night. Calendar is used for a long time, and the error increases.

Calendar must reform the old calendar.

If you don't actually observe the celestial bodies,

It is absolutely useless to follow the old model. Farmers in plain mountains and rivers cultivate and harvest,

It all depends on the fine weather in nature.

Sunshine and rain, crops grow,

The rain is dripping and the snow is wet. Agricultural officials worry about meteorological astronomy,

How much rain? Measure with instruments.

Fill it with water and put it in another container.

Sometimes worry is measured, sometimes joy is measured. This chapter is called "Weather" and ranks second. Although there are few people, priority should be given.

Judge the situation and see the world.

Older women have a stable life,

This is the place where benevolent government is practiced. The history of dynasties, the population from generation to generation,

Cultivated land is increasing day by day.

It is necessary to measure fields and control taxes,

It is very important to make accurate measurement statistics. In Fiona Fang, the shapes of fields are different.

There are oblique, positive, high and low.

Measurement technology, profound content,

Only by studying hard can we tell the difference. When measuring, the difference is one millimeter.

The end result is thousands of miles away.

It is a great disadvantage to distinguish between public and private.

The tax should be collected very carefully. This chapter is called "Tian Yu" and is listed as the third chapter. A mountain is not high.

If the water is not deep, it is not called Dachuan.

When Dayu was controlling water, he measured mountains and rivers.

The square ruler used can be passed down from generation to generation. The creation of wisdom, ingenious exposition,

Use "gravity difference technology" to calculate.

The solution is detailed and comprehensive,

The object of measurement is always variable. Height, depth, width and distance,

It is not easy to make measurements.

Sometimes it's too dangerous to get in,

Sometimes it's an enemy camp. You can't touch the side. What should I do if I ask an unknown question?

It has been measured twice with a watch.

Calculated by the difference between the two measurements,

Away from its territory, we can know its height, depth and breadth. This chapter is called "observation" and is listed as the fourth one. The state stipulates that taxes should be levied,

Folk Pepsi to be established.

According to the population in this field,

To measure what is appropriate. Although corvee is inevitable,

But it must be discussed and calculated in advance.

The application of proportional distribution should be appropriate,

The corvee should share the burden equally. The Han Dynasty was not too far away from ancient times.

They collect taxes in proportion to the fields.

Coordinate and balance the grain collected,

Used for disaster prevention, flood control and drought relief. Be benevolent for officials and think for the people.

Put yourself in the other's shoes, as if you were starving and freezing.

If the corvee is unevenly distributed,

Is it reassuring? Call this chapter "Fu" and list it as the fifth chapter. Paying grain tax depends on the grade,

Grain storage depends on the season.

A grain of millet, an inch of silk,

It is the result of the labor of men and women. The government should levy food and taxes on the people,

Corruption is frequent in later generations.

Dignitaries cling to each other and oppress the people.

These corrupt officials, big and small, have tried their best. I heard that managing finance,

It should be like a wise man managing water.

Tracing back to the source, methodical,

Treat both the symptoms and root causes and eliminate hidden dangers. Those stupid corrupt officials turn a blind eye,

The people are miserable and continue to be tortured.

This is getting farther and farther away from reason,

Being an official is heartless! Alas, alas! This chapter is called "Qian Gu" and is listed as the sixth one. This house, this wall,

National pillar, social security.

Where people live,

A market where wealth gathers and disperses. Urban architecture plays a huge role,

Be sure to make a plan.

If the planning and construction are not standardized,

Will waste people and money, waste a lot. When King Chu Zhao besieged Cai,

This is the adoption of Xixi's suggestion.

Artisans in the Han Dynasty designed astronomical observatories,

Emperor Wen of Han was also worried about the high cost. Only force can compete for meritorious military service.

Only thrift can make money and accumulate virtue.

Only when the country is peaceful can the family be safe.

Where do we get the specifications now? This chapter is called "Construction" and is listed as Chapter VII. There are Jin Mu water and soil fires in nature,

Metal weapons are indispensable.

Soldiers go to war without training,

This is a serious mistake of the superior. Vivian's lineup, strict steps,

We should follow the example of geese and storks.

When there are rules for the deployment of military camps,

This is the general's duty. If the army wants to win this war,

Rely on the wisdom, kindness and courage of officers and men.

Reading art books at night focuses on understanding.

First of all, pay attention to strategy. I heard that in the past wars,

If you underestimate your enemies, you will lack wisdom and wisdom.

If you are lucky, you will fail and hurt the people.

This is not alarmist. This chapter is called "Army" and ranks as the eighth. The sun has risen and the market is very lively.

Everyone's livelihood depends on buying and selling.

Businessmen can accumulate wealth through transactions,

They will care about every penny. Slave the poor for the rich and the heartless,

His province must nod.

At the expense of this, annex wealth,

This is not a reasonable way to govern the country. This chapter is called "Poetic Meaning" and is listed as the ninth chapter.