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  Chapter 832 828【Geometry problem】

(Yesterday, this chapter was reviewed by the card, and all the red parts that violated the regulations were deleted. When applying for unbanning, there were several large sections of illegal content. If you want to apply for unbanning again, you have to wait until two days later. So this chapter is simply rewritten, too lazy The application has been lifted.)

  Batavia City, the former Dutch municipal building.

  Zhang Xianzhong has made meritorious service in continuous battles, and now he has grown up in awe. He slapped the table and said, "Angel Liu, these Indian prisoners can no longer be used. They can't work one by one, and they eat like rice buckets. Why not use them all as cannon fodder in the siege!"

   "Just give me a bowl of gruel every day." Liu Hanyi said.

Zhang Xianzhong said: "I definitely won't let them eat more, but they only eat a bowl of gruel, and they don't want to work at all. They can't move a few times when they are whipped. If the supervisor doesn't watch, they will lie on the ground to dry." The sun. I also ordered that if you do a good job, you can eat more. This trick is useful for Taiwanese headhunters, but it doesn’t work for those Indian captives.”

Deputy envoy Sun Jie said: "I asked rich Indian businessmen, and these captives are all untouchables. They can only do things like dig out excrement and move corpses. They are not allowed to believe in religion, and they are not allowed to reincarnate. They will be like that in this life, no matter you They won't believe any promises you make. You said you can eat more if you do a good job, have you ever rewarded anyone?"

   "Return the reward? The work given will never be finished, and I don't kill them." Zhang Xianzhong said angrily.

Sun Jie said with a smile: "Only when the Shang monarch migrates to the woods and establishes the faith can he reform the law in Qin. Village head Zhang can also reward the rice and establish the faith, regardless of whether the Indian captives have completed their work or not. Every day, choose the three who do the most work, in front of the rest. For the captives’ noodles, give them an extra bowl of porridge. Those who are willing to work more will be rewarded to four people every day. Keep going up, ten or twenty will be rewarded every day. Then divide the Indian prisoners into groups, which group will work the best Well, give everyone an extra bowl of porridge. The team leader will punish those who don’t want to work in order to eat more. But remember, even after receiving rewards, they can’t really make them full. Only hungry people, Only then did I realize that eating more is very precious.”

   "Will this work?" Zhang Xianzhong questioned.

   "Try it, Village Chief Zhang is still reluctant to give a few more bowls of porridge a day?" Liu Hanyi laughed.

  Zhang Xianzhong said depressedly: "Then give it a try."

  The insensitivity of the Indian untouchables makes them completely blind to hope.

Sun Jie said: "These hundreds of Indian captives can actually be used for good. First reward Lixin, change their ideas, and make them feel that they are also useful. Then let them be tenants in Luzon. They are real tenants, not what Serfs. As long as they are willing to work, as long as they learn how to farm, no matter how lazy they are, they will be enough. In the future, the Datong army will kill India, and if these hundreds of Indian untouchables are captured, they will be able to recruit and educate more untouchables."

   Liu Hanyi said: "We will talk about the Indian affairs later, should we step up our offensive? In a few days, the rainy season will come. I heard that the rainy season will last for three months."

Sun Kewang said: "It's not easy to fight. The Dutch castle has four bastions. The walls are short and thick, and the artillery can't break them down. No matter which side you attack from, you will be hit by the enemy in the bastions. arrive."

Zhang Xianzhong said: "The usual method of digging ditches is not easy to use here. There are moats on all sides of the castle, and all the moats must be filled first. One side of the moat is also connected to the sea. The other two sides of the moat are connected to the Tiger Canal. Connected. It can’t be directly filled there, but a canal must be dug first to divert the water from the Tiger Canal to another place to flow into the sea.”

   Everyone was speechless.

   To fill the moat of the Dutch castle, the amount of work is not so large. You have to dig a canal to drain the water first, otherwise the city where the Datong Army is stationed will be flooded.

   "Can it be flooded..." Sun Jie said halfway, and he felt amused, "Well, pretend I didn't say it."

  The castle is near the sea, so even if it is flooded, it will soon flow into the sea.

  Everyone discussed repeatedly, but couldn't think of a good way, so they could only besieged until the castle ran out of food.

   Tie Hong asked: "Do you want another night attack?"

   "I'm afraid it's not easy to fight." Zhang Xianzhong shook his head.

   At this moment, an officer in his twenties raised his hand.

  The officer's name is Li Cunhui, and he is a missionary officer transferred from Liaodong. If there were casualties in the Luzon Datong Army, ordinary soldiers would supplement them on the spot, but mission officers were transferred from the mainland.

Li Cunhui said: "The cities of Liaodong Tartars also have sharp-edged enemy towers similar to bastions. Later, they learned from us to build bastions. I have participated in several siege battles. The difficulty of attacking bastions is that the besiegers are on the way to attack. , was bombarded by the defending artillery and caused a large number of casualties. However, the artillery of the siege side hardly caused damage to the defenders. I was in the army, and I have been teaching myself mathematics. I think this is a geometric problem.”

  The people present did not understand.

Li Cunhui took out a small notebook and wrote and drew: "Our army's previous trench digging was too complicated, and the amount of work was too large. In fact, it can be simplified. Just align the edges and corners of the bastion, and align the edges and corners of the bastion. Extending outwards, dig a ditch in the shape of a "B" along this line. At each corner of the trench, dig a section of parallel trenches. In this way, it is difficult for the defending artillery to hit the attacking party. And the attacking party In front of each section of parallel trenches, you can use sacks of soil to build fortifications, hide behind the fortifications and in the trenches, use firecrackers to shoot at the city, cover the friendly troops who continue to dig the trenches, and block the enemy who goes out of the city to destroy the trenches."

   This little book was passed down, and one by one was carefully read.

  The schematic diagram is very simple and vivid. Even those who have not learned geometry, as long as they have a normal mind, they can understand the benefits of this method of excavation.

  Double reduce the amount of trench excavation, while reducing casualties when digging trenches. Especially the additional parallel trenches, where fortifications were built on the spot, made it impossible for the defenders to come out to make trouble.

  Zhang Xianzhong was very interested and asked: "How to deal with the artillery of the defenders? The artillery of the attacking side can hardly hit the defenders. But the artillery of the defenders can easily hit the attacking side."

   "This is also a geometry problem."

Li Cunhui continued to draw the pattern: "The artillery on the attacking side should not be laid out in a single word. A castle with four corners as bastions, such as the castle of the Dutch. The artillery positions on the attacking side only need to be set at eight points. Every An artillery position is on the parallel line of the castle wall. As for which point to set on the parallel line, it needs to be calculated based on the height of the wall, the caliber of the artillery, the weight of the shell, and the shooting elevation angle.”

  Zhang Xianzhong was really confused this time: "Do you still need to use arithmetic?"

"This involves the analytic geometry created by His Majesty, and it is also related to the physical and mechanical movement," Li Cunhui continued to draw a schematic diagram, "After careful calculation, the shells fired by each artillery position, as long as the error is not too large, can fall on the city wall. Moreover, the cannonballs jumped and rolled forward along the city wall, and a single cannonball could hit a string of enemy troops, and it was useless for the soldiers on the defensive side to hide behind the parapet."

  Everyone gathered around, and they understood the general principle, but they were completely confused about how to calculate it.

Li Cunhui said: "I have calculated the Dutch castle in front of me in detail. Because one side of the castle faces the sea and the other side is too close to the city, only three of the theoretical eight excellent artillery positions can be used. In addition, due to the Complexity, the angular line extension excavation method I designed can only dig the trench to the moat, but can't dig all the way to the bastion. Therefore, the artillery can only be suppressed by parallel shooting at low elevation angles, and then people have to use their lives to attack. "

   Tie Hong said: "Don't be in a hurry to attack the city, go and try your cannon parallel shooting."

   Everyone went out of the city together. Li Cunhui was on the east side of the castle, using the improved version of the measuring ruler to observe. First find the extension line of the castle wall, then use the equation to calculate the height of the wall, and then calculate the shooting elevation angle and the drop point of the shell.

  For dozens of minutes, I did nothing but do math problems.

   The position of the artillery position is calculated, and then the artillery position is built.

  In front of the artillery positions, sacks filled with soil were used to pile up fortifications layer by layer, leaving only a hole at the barrel.

  Three cannons were pushed up and arranged vertically in a line.

  The artillery of the defenders can already hit this artillery position. But this location is too weird to pose a threat to the city wall at all, so the Dutch defenders all stood in the castle to watch the excitement, waiting for the Datong army to waste ammunition by firing cannons outside the city.

   "Can this be done?" Sun Kewang expressed doubts.

   "Boom boom boom!"

  Three shells were fired, crossed the bastion in the southeast corner, and then hit the wall connecting the two bastions.

   This style of play will not cause any damage to the city wall, and the continuous bombardment will not be able to collapse the city wall for a year. However, the flying direction of the cannonball is kept parallel to the city wall, as long as it is not shot too crookedly, it will definitely land on the city wall.

   As for where it falls on the city wall, it doesn't matter anymore.

  Because the shooting elevation angle was very small, after the shells fell, they bounced on the city wall. Every time it bounced and rolled, it would hit the defenders of the city, and a dozen shells would form a large string.

  The watchman on the hot air balloon was dumbfounded.

  Three shells smashed out, hitting more than 20 enemies while bouncing. The Dutch army was all in the bastion, and the walls were full of Dutch civilians. They were frightened by this method and ran away crazily. In a blink of an eye, no one dared to stand on the wall.

   "Fight back, fight back!"

  The Dutch artillery commander finally couldn't sit still, and ordered the city defense artillery to aim at the artillery position and shoot.

   "Push the cannon back!" Tie Hong ordered quickly.

   Now it is not a formal siege, only three artillery pieces are used for experiments. And the city fire artillery of the defenders will definitely be able to smash the fortifications of the artillery positions.

  After the experiment was over, everyone went back to summarize.

  Sun Kewang said: "This method is really useful. But it can only attack the defenders on the city wall, not the defenders in the bastion."

Lieutenant General Zhan said: "It is enough to hit the defenders on the city wall. The bastion is dealt with by digging trenches. The artillery suppresses the enemies on the city wall, and many people will be killed when attacking the city. If the city has no ridges Fortress, with this bombardment method alone, the defenders dare not stand on the wall, so the siege can be taken easily?"

  Zhang Xianzhong said: "Yes, if there was such a method of shooting artillery a month ago, why would we use night attacks to attack Batavia?"

"It's not that easy to win," Li Cunhui said, "but it can indeed reduce the casualties of the siege. I have been thinking about it when I was in Liaodong, but I didn't learn analytic geometry at that time. It was the bombardment of the city of Batavia. At that time, I had some ideas, and I finally figured it out two days ago."

  The method is very good and can be promoted by the whole army, but it is useless to deal with the bastion in front of you, mainly because the moat is too disgusting.

  Of course, it can be knocked down with a little effort.

  Dig the canal first, and divert the water from the Tiger Canal to other places into the sea. Then fill the moat with negative soil, then excavate Z-shaped trenches with angular lines, build fortifications with extended parallel trenches, and suppress the city wall in a parallel and low-elevation angle, so that the bastion can be forcibly attacked.

  This offensive plan has to wait until the rainy season has passed.

  If everything goes well, it should take three months from digging the canal to capturing the castle.

  (end of this chapter)