Xue Chongxun put up bamboo poles, protractors, and some tools for carpenters on the sand, so he asked several carpenters to start and started working there.
The generals and civil servants in the yamen next to him watched curiously when they saw the boss doing something strange there.
The officials in the engineering department were most looking forward to it. They looked carefully with a keen attitude of knowing, and saw how Duke Wei would measure the height of the cliff...
After tinting on this sand for a while, you can tinker with the height of the cliff in the distance?
That's too mysterious!
Xue Chongxun first erected a wooden board on the ground, then took the ink line with an iron cone hanging. After a light bounce, he left a vertical ink line on the wooden board.
According to this method, he drew a vertical ink line on the wooden board located in the back.
Then, a bamboo pole was erected next to the two wooden boards, keeping parallel to the two ink lines; then another bamboo pole was placed horizontally on the two bamboo poles.
After fiddling with this for a long time, Xue Chongxun adjusted the angle and let the bamboo pole placed horizontally aim at the top of the cliff.
Then he began to use woodworking tools to record the angle of the inclined bamboo pole, draw it on rice paper, and use a protractor to measure the angle...
The angle is about fifty degrees.
At this moment, a cavalry rushed over and shouted loudly: Ming Gong, Zhao Si judged that the distance to the foot of the mountain has been measured.
The knight rushed outside the crowd and jumped down, strode in, bowed to present it with a piece of rice paper in both hands.
A clerk took the rice paper and took it to Xue Chongxun again.He took it and took a look: One hundred and thirteen feet.
Xue Chongxun remained silent, took the angle he measured and the data from Zhao Sijue and left the place, walked under the big umbrella beside him, and said in a big way: "Praying ink and serving."
Get order!
This is not a battlefield, it is like a prince and nobleman going out for an outing!The soldiers around were busy serving Xue Chongxun, and the scene was so funny.
As soon as Xue Chongxun sat down, an engineering official hurriedly surrounded the clerk who had just handed the rice paper and asked: How long?
113 jos.
The officials hurriedly recorded in their notebooks, and stretched their heads to see what Xue Chongxun was writing.
Their desire for knowledge comes from application. New methods of measuring heights (although rough) are a skill as long as they learn it, and are very beneficial to the career development of engineering officials.
Xue Chongxun took the things around him, and while writing and calculating, he explained like a teacher: "Nine Chapters of Arithmetic" is about hooking three, four, and five, which means this kind of triangle shape.As long as the shapes are similar and the angles are the same, the lengths of the three lines are proportional...
Some officials nodded as if they understood, and some were taking advantage of the opportunity to flatter him. They were like Duke Wei and his knowledge were extensive and knowledgeable, and they said whatever they were disgusting. He heard it so much that Xue Chongxun wanted to jump up and slapp him a few times.
Xue Chongxun started the calculation while explaining.
Now he has two data in his hand, the angle of the right triangle and the parallel distance from the bottom of the mountain. The two conditions calculate the height of the cliff without any pressure.
As for the tg's 50-degree value, it is impossible to check it without a function table, but there is no pressure: draw a right-angle triangle with an acute angle of 50 degrees, and use the opposite side length to divide the length of the adjacent side, and then it is not calculated?
At this moment, a soldier came to report: The vanguard of the Tuyuhun Allied Army was ten miles away from Huangshui, and the Khan King Murong personally led the guard to visit.
The staff on the side suggested: Tuyuhun is now our friendly army. In order to show the etiquette of the Tang Dynasty, the lord should welcome him out of the gate.
Xue Chongxun pondered for a moment and said: I understand.Then continue writing and painting.Using a similar triangle method, he finally calculated that the 50-degree value of tg is about 1.19.
Then it was brought into the length of 113 z. The cliff height was 134 z.
Everyone understands the multiplication operation afterwards. Jiujiuge was found in the Zhou Dynasty, but Xue Chongxun used Arabic numeral formulas to make everyone confused.
Xue Chongxun must not explain the benefits of using columnar expressions to calculate complex multiplication.
Xue Chongxun was not wearing official uniforms or armor. He was wearing his blue thirty-six-six-wiped knotted clothes. He was like a wise man who taught the teachings. He sat among the officials in blue and red robe and talked freely. Unconsciously, he felt like he was spreading the great way like Confucius, Mencius and sentient beings, and felt very good at himself for a while.
He handed the result in his hand to Zhao Sijue, the cliff is 134 and a half meters high, and the difference will not be too big. If you don’t believe it, you can measure it with a rope when you take down the stone castle city. Do you think I’m wrong? You can just use this height to design and build a dirt mountain.
This is the data given by the marching chief executive. Even if it is made wrong, it is not related to their office work. If you can shirk responsibility, what is the matter of Zhao Sijue who is unwilling to do so. He answered without hesitation: Ming Gong has made a deep calculation, how can there be any reason for inaccuracy?It's indeed God!We can see that this cliff is almost a hundred feet tall, which is a great calculation!
Xue Chongxun smiled and said: Don’t say it all nicely, I don’t know what you are thinking?Zhao Si was immediately embarrassed.
He often speaks without following the rules, making people speechless and knowing how to answer, which is very boring.
Xue Chongxun's butt left Hu Shui, stood up and stretched, feeling happy, but she didn't expect that she could do math problems so well...
A sense of accomplishment arises naturally.
He still looked back at the officials with unsatisfactory satisfaction: You must not understand the throwing acceleration of the catapult cart, the calculation of the parabola, etc., and when you need to estimate the throwing height, just ask me and I will calculate it for you.
The officials looked promiscuous and flattered. Everything was in the lord's clever plan. How could there be a reason to invincible attacks in the city?It is true that Zhuge is born and Kong Ming is reborn...
Wang Changling calmly waited for everyone to have enough flattery before admonishing him: The Tuyuhun Khan King Murong is coming soon, will the lord change his clothes?
Xue Chongxun looked down at the linen on his body, and looked back at everyone and said: Do I need to change my clothes?
Everyone doesn't understand why, and don't know how to answer.
Xue Chongxun patted Wang Changling on the shoulder and smiled: If I were not the Duke of the Tang Dynasty, no matter how fancy I was dressed, the Khan would not have looked at him directly, but am I not a Duke?Look, how spectacular the soldiers and horses are, what does it matter if I wear linen?
Everyone burst into laughter, as if they had encountered some great fun. Only Xue Chongxun immediately stopped his smile, without a smile at all.
He immediately ordered his troops to go out to welcome Murong Xuan. The flags were flying like iron armor. The army surrounded him, and Xue Chongxun was in a good mood and almost became poetic and sang loudly. I talked about the young man's crazy, holding Huang on the left and capturing Cang on the right...
White clouds floated in the blue sky, and the sky on the Qinghai-Tibet Plateau was extra clean, just like it had just been washed, with blue sky and green space and winding Huangshui, Xue Chongxun's heart was wide open, go!
He shouted, shook the reins, gently kicked the horse's belly, and ran out along the road on the river bank.
The troops hurriedly followed, and the dust and smoke were flying, adding a lively atmosphere to the pure and quiet plateau.
I saw a group of people coming here from afar. It was Murong Xuan's team, and the scouts had already discovered it.
When the people got closer, they could see clearly that there was a man in white robe in front of the Tuyuhun crowd, which should be Khan Murong Xuan.
This is the second time Xue Chongxun has seen this Khan King and knows that he is still a young boy.
When the people on both sides were hundreds of steps apart, Xue Chongxun raised his arms to signal everyone to stop, and the opposite side also stopped. There was a knight behind the white-robed boy carrying a golden animal totem. Xue Chongxun had also seen that thing, and remembered that it was inserted into the king's tent last time.
The man in the robe could not see clearly the face of the man in the robe. The man with Luomu was wearing the thing, which could cover up the wind and sand.
When Xue Chongxun stepped forward, the man in white robe also rode his horse alone and met in the middle.
The man in white robe lifted the Luomu on his head, revealing a thin and beautiful face, with deep eye sockets, and his face was indeed somewhat similar to Murong Yan. He is worthy of being a real sibling, not Murong Xuan, who is it?
Murong Xuan sat quietly on the horse, his pale face seemed to be sick. He said calmly: The Murong family in Xihai raised an army of 100,000 in response to the imperial edict of the Emperor of the Tang Dynasty and participated in the big move in Shibao City.
It’s hard to say whether there are really 100,000 people.
Xue Chongxun looked at Murong Xuan with a smile and said: Chang'an will know the loyalty and contribution of King Khan, please.
Murong Xuan put down the Luomu on his head, turned around gently, and the people behind him slowly started and followed.
At this time, Xue Chongxun saw an acquaintance, Tuyuhun was a great conscience. This fat man was really a tragedy, and his wife became Xue Chongxun's lover.
When Xue Chongxun saw him, he smiled and said with a smile: "Goodbye, are you okay?"
Fu Lu laughed and said: "It's okay, I don't expect to meet Duke Wei again in a few months."
Fate Ah.Xue Chongxun felt relaxed when talking to Fu Lu, not as reserved as Murong Xuan. He said in a joking tone, by the way, didn’t the princess come?
Fu Lu said: I had been yelling to come before, but the king said that he would join the various tribes this time. He was afraid that a woman would be laughed at, so she didn't come.
Xue Chongxun felt a little disappointed.
Murong Xuan and Xue Chongxun walked on their troops and said at this time: In the letter, Duke Wei said that he would give our tribe an armed aid, hoping that he could reduce casualties.
He said as he looked up at the cliff in the distance, the city was in danger...
What I wrote in my letter is not false, and many people will not die this time.Xue Chongxun said confidently, even if you die tens of thousands of times like before, it would be a bit tragic to win.
When a group of people approached the Tang army camp stationed by the Huangshui River, Xue Chongxun pointed to the other side and said: We plan to build a few earthen cities there so that we can directly attack the fortress on the cliff with siege weapons.Forces are not a problem, but building a city requires a lot of manpower, so you have to borrow the Khan King’s men... Sweating is better than bleeding, right?
The generals and civil servants in the yamen next to him watched curiously when they saw the boss doing something strange there.
The officials in the engineering department were most looking forward to it. They looked carefully with a keen attitude of knowing, and saw how Duke Wei would measure the height of the cliff...
After tinting on this sand for a while, you can tinker with the height of the cliff in the distance?
That's too mysterious!
Xue Chongxun first erected a wooden board on the ground, then took the ink line with an iron cone hanging. After a light bounce, he left a vertical ink line on the wooden board.
According to this method, he drew a vertical ink line on the wooden board located in the back.
Then, a bamboo pole was erected next to the two wooden boards, keeping parallel to the two ink lines; then another bamboo pole was placed horizontally on the two bamboo poles.
After fiddling with this for a long time, Xue Chongxun adjusted the angle and let the bamboo pole placed horizontally aim at the top of the cliff.
Then he began to use woodworking tools to record the angle of the inclined bamboo pole, draw it on rice paper, and use a protractor to measure the angle...
The angle is about fifty degrees.
At this moment, a cavalry rushed over and shouted loudly: Ming Gong, Zhao Si judged that the distance to the foot of the mountain has been measured.
The knight rushed outside the crowd and jumped down, strode in, bowed to present it with a piece of rice paper in both hands.
A clerk took the rice paper and took it to Xue Chongxun again.He took it and took a look: One hundred and thirteen feet.
Xue Chongxun remained silent, took the angle he measured and the data from Zhao Sijue and left the place, walked under the big umbrella beside him, and said in a big way: "Praying ink and serving."
Get order!
This is not a battlefield, it is like a prince and nobleman going out for an outing!The soldiers around were busy serving Xue Chongxun, and the scene was so funny.
As soon as Xue Chongxun sat down, an engineering official hurriedly surrounded the clerk who had just handed the rice paper and asked: How long?
113 jos.
The officials hurriedly recorded in their notebooks, and stretched their heads to see what Xue Chongxun was writing.
Their desire for knowledge comes from application. New methods of measuring heights (although rough) are a skill as long as they learn it, and are very beneficial to the career development of engineering officials.
Xue Chongxun took the things around him, and while writing and calculating, he explained like a teacher: "Nine Chapters of Arithmetic" is about hooking three, four, and five, which means this kind of triangle shape.As long as the shapes are similar and the angles are the same, the lengths of the three lines are proportional...
Some officials nodded as if they understood, and some were taking advantage of the opportunity to flatter him. They were like Duke Wei and his knowledge were extensive and knowledgeable, and they said whatever they were disgusting. He heard it so much that Xue Chongxun wanted to jump up and slapp him a few times.
Xue Chongxun started the calculation while explaining.
Now he has two data in his hand, the angle of the right triangle and the parallel distance from the bottom of the mountain. The two conditions calculate the height of the cliff without any pressure.
As for the tg's 50-degree value, it is impossible to check it without a function table, but there is no pressure: draw a right-angle triangle with an acute angle of 50 degrees, and use the opposite side length to divide the length of the adjacent side, and then it is not calculated?
At this moment, a soldier came to report: The vanguard of the Tuyuhun Allied Army was ten miles away from Huangshui, and the Khan King Murong personally led the guard to visit.
The staff on the side suggested: Tuyuhun is now our friendly army. In order to show the etiquette of the Tang Dynasty, the lord should welcome him out of the gate.
Xue Chongxun pondered for a moment and said: I understand.Then continue writing and painting.Using a similar triangle method, he finally calculated that the 50-degree value of tg is about 1.19.
Then it was brought into the length of 113 z. The cliff height was 134 z.
Everyone understands the multiplication operation afterwards. Jiujiuge was found in the Zhou Dynasty, but Xue Chongxun used Arabic numeral formulas to make everyone confused.
Xue Chongxun must not explain the benefits of using columnar expressions to calculate complex multiplication.
Xue Chongxun was not wearing official uniforms or armor. He was wearing his blue thirty-six-six-wiped knotted clothes. He was like a wise man who taught the teachings. He sat among the officials in blue and red robe and talked freely. Unconsciously, he felt like he was spreading the great way like Confucius, Mencius and sentient beings, and felt very good at himself for a while.
He handed the result in his hand to Zhao Sijue, the cliff is 134 and a half meters high, and the difference will not be too big. If you don’t believe it, you can measure it with a rope when you take down the stone castle city. Do you think I’m wrong? You can just use this height to design and build a dirt mountain.
This is the data given by the marching chief executive. Even if it is made wrong, it is not related to their office work. If you can shirk responsibility, what is the matter of Zhao Sijue who is unwilling to do so. He answered without hesitation: Ming Gong has made a deep calculation, how can there be any reason for inaccuracy?It's indeed God!We can see that this cliff is almost a hundred feet tall, which is a great calculation!
Xue Chongxun smiled and said: Don’t say it all nicely, I don’t know what you are thinking?Zhao Si was immediately embarrassed.
He often speaks without following the rules, making people speechless and knowing how to answer, which is very boring.
Xue Chongxun's butt left Hu Shui, stood up and stretched, feeling happy, but she didn't expect that she could do math problems so well...
A sense of accomplishment arises naturally.
He still looked back at the officials with unsatisfactory satisfaction: You must not understand the throwing acceleration of the catapult cart, the calculation of the parabola, etc., and when you need to estimate the throwing height, just ask me and I will calculate it for you.
The officials looked promiscuous and flattered. Everything was in the lord's clever plan. How could there be a reason to invincible attacks in the city?It is true that Zhuge is born and Kong Ming is reborn...
Wang Changling calmly waited for everyone to have enough flattery before admonishing him: The Tuyuhun Khan King Murong is coming soon, will the lord change his clothes?
Xue Chongxun looked down at the linen on his body, and looked back at everyone and said: Do I need to change my clothes?
Everyone doesn't understand why, and don't know how to answer.
Xue Chongxun patted Wang Changling on the shoulder and smiled: If I were not the Duke of the Tang Dynasty, no matter how fancy I was dressed, the Khan would not have looked at him directly, but am I not a Duke?Look, how spectacular the soldiers and horses are, what does it matter if I wear linen?
Everyone burst into laughter, as if they had encountered some great fun. Only Xue Chongxun immediately stopped his smile, without a smile at all.
He immediately ordered his troops to go out to welcome Murong Xuan. The flags were flying like iron armor. The army surrounded him, and Xue Chongxun was in a good mood and almost became poetic and sang loudly. I talked about the young man's crazy, holding Huang on the left and capturing Cang on the right...
White clouds floated in the blue sky, and the sky on the Qinghai-Tibet Plateau was extra clean, just like it had just been washed, with blue sky and green space and winding Huangshui, Xue Chongxun's heart was wide open, go!
He shouted, shook the reins, gently kicked the horse's belly, and ran out along the road on the river bank.
The troops hurriedly followed, and the dust and smoke were flying, adding a lively atmosphere to the pure and quiet plateau.
I saw a group of people coming here from afar. It was Murong Xuan's team, and the scouts had already discovered it.
When the people got closer, they could see clearly that there was a man in white robe in front of the Tuyuhun crowd, which should be Khan Murong Xuan.
This is the second time Xue Chongxun has seen this Khan King and knows that he is still a young boy.
When the people on both sides were hundreds of steps apart, Xue Chongxun raised his arms to signal everyone to stop, and the opposite side also stopped. There was a knight behind the white-robed boy carrying a golden animal totem. Xue Chongxun had also seen that thing, and remembered that it was inserted into the king's tent last time.
The man in the robe could not see clearly the face of the man in the robe. The man with Luomu was wearing the thing, which could cover up the wind and sand.
When Xue Chongxun stepped forward, the man in white robe also rode his horse alone and met in the middle.
The man in white robe lifted the Luomu on his head, revealing a thin and beautiful face, with deep eye sockets, and his face was indeed somewhat similar to Murong Yan. He is worthy of being a real sibling, not Murong Xuan, who is it?
Murong Xuan sat quietly on the horse, his pale face seemed to be sick. He said calmly: The Murong family in Xihai raised an army of 100,000 in response to the imperial edict of the Emperor of the Tang Dynasty and participated in the big move in Shibao City.
It’s hard to say whether there are really 100,000 people.
Xue Chongxun looked at Murong Xuan with a smile and said: Chang'an will know the loyalty and contribution of King Khan, please.
Murong Xuan put down the Luomu on his head, turned around gently, and the people behind him slowly started and followed.
At this time, Xue Chongxun saw an acquaintance, Tuyuhun was a great conscience. This fat man was really a tragedy, and his wife became Xue Chongxun's lover.
When Xue Chongxun saw him, he smiled and said with a smile: "Goodbye, are you okay?"
Fu Lu laughed and said: "It's okay, I don't expect to meet Duke Wei again in a few months."
Fate Ah.Xue Chongxun felt relaxed when talking to Fu Lu, not as reserved as Murong Xuan. He said in a joking tone, by the way, didn’t the princess come?
Fu Lu said: I had been yelling to come before, but the king said that he would join the various tribes this time. He was afraid that a woman would be laughed at, so she didn't come.
Xue Chongxun felt a little disappointed.
Murong Xuan and Xue Chongxun walked on their troops and said at this time: In the letter, Duke Wei said that he would give our tribe an armed aid, hoping that he could reduce casualties.
He said as he looked up at the cliff in the distance, the city was in danger...
What I wrote in my letter is not false, and many people will not die this time.Xue Chongxun said confidently, even if you die tens of thousands of times like before, it would be a bit tragic to win.
When a group of people approached the Tang army camp stationed by the Huangshui River, Xue Chongxun pointed to the other side and said: We plan to build a few earthen cities there so that we can directly attack the fortress on the cliff with siege weapons.Forces are not a problem, but building a city requires a lot of manpower, so you have to borrow the Khan King’s men... Sweating is better than bleeding, right?
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