Yang Reform listened to Shen Yongmao's explanation somewhat casually. (.pAosHU8._ bubble & book & bar)

Yuan Chonghuan bombarded the Seto Inland Sea in Japan, and the work of recovering reparations was in full swing, and according to the news reported, the war against Japan was not very expensive in terms of cost, and as expected, it was a war with investment prospects.

All the ministers held their breath, and listened carefully to the explanation of the military department Shangshu Shen Yongmao, no one came out to defend anything, and no one wanted to say anything, now all this is just as the emperor said, it doesn't cost a few dollars, and even makes money, there are not too many people who follow Yuan Chonghuan to the war in the Japanese country, they don't want to pay silver, and they will also pay a large part of the things they get from the war as a license fee, this kind of thing, everyone will definitely scoff at it before, and it will definitely be regarded as a dream, But now the fact is that the world view of the ministers has completely subverted the ...... of the ministers, this is true, there are many people who follow Yuan Chonghuan to listen to Yuan Chonghuan's call, and the imperial court only gives a name, and only the core warships and troops are supported, which can have the effect of beating the Japanese country into a mess.

"Since I am not willing to compensate, then I will take the ...... myself" Yang Gai said absent-mindedly, according to the results of contact with the Japanese people, the Japanese people are obviously unwilling to compensate for the astronomical war reparations, so the rest, needless to say, there is only one word, fight.

The ministers continued to hold their breath, and no one came out to answer. Tens of millions of taels of silver have to be paid out by the Japanese state, is it possible? That's daydreaming. The life or death of the Wa Kingdom has nothing to do with everyone. Why stand up and speak for the Wa Kingdom? Since the Imperial Cooperative Army is so good. The emperor's method of dealing with the Japanese state is very effective, so there is no need to stand up and say it, what if the emperor lets himself lose so much silver?

……

Yang Reform was absent-minded and dispersed the small court. The reason for being absent-minded was that Xu Xiake had arrived in the capital. The map and latitude and longitude that Yang Reform has been planning for should also be born.

Yang Gai believes that with the combination of latitude and longitude, the safety of navigation at sea will be greatly improved, and it will definitely have indescribable benefits for expansion.

Now there is theory, and there are people who practice. The clocks used for timing are also barely available, and the human and financial resources can be supported without limits, and the set of longitude and latitude is actually about to come out, of course. Maybe the accuracy can't be too high, but even the rough version is definitely a big killer, and the realization of the Pacific Inland Lake is completely up to him.

"......Huh" Yang Genghe exhaled, although being an emperor has many restrictions, and it is even difficult to get out of the capital, although it was almost a desperate situation when he first became an emperor, but I have to say that once he has real power. Once you have prestige, once you can use the power of the entire empire, many things become easy, simple, and easy, which is beyond the reach of other traversers, others.

……

"Ministers, see Your Majesty'......"

"No courtesy......" Yang Gai said with a smile, this time, it was the people who met outside the small building, and there were many people coming. There are Sun Yuanhua, Li Tianjing, Song Yingxing, Tang Ruowang, and some officials of the previous bureau. and the most important Xu Xiake.

After everyone finished saluting, Yang Reform saw a "living person" in the crowd at a glance.

"Xu Xiake?" Yang Gengai shouted with a smile. Yang did not arrange a separate meeting for Xu Xiake. Instead, he regarded him as an old friend or courtier who he already knew well, and generally regarded him as his own.

Everyone's eyes followed the emperor's voice, but they saw a Xu Xiake wearing a shirt.

"The students are here." Xu Xiake replied immediately with some panic and restraint. …,

"I love reading your travelogue, it's very well written!" Yang Gengai said with a smile.

"Thank you, Your Majesty, for your praise!" Xu Xiake replied very formally, when he came here, he was still wearing a shirt and no official uniform, which looked a little dazzling in this palace.

"I also surrounded this palace, otherwise, I would have to walk around, hahaha......" Yang Reform said with a smile.

A few people on the side listened to it, and they all thought it was a joke, the emperor went out of the palace, it was not a good thing, and there was to be something wrong, although the emperor verbally said that he wanted to go out, but until now, the emperor has not gone out, so there is no need to worry too much.

"......" Xu Xiake was restrained again.

“…… Xiake is from Jiangyin, right......" Yang Gengai asked with a smile, and began to meet this famous geographer, traveler and explorer in history in front of his own people, which can be regarded as an interview and an introduction to his own team, so that Xu Xiake can integrate into his team in the shortest possible time, and clearly label Xu Xiake with his own people.

"Returning to Your Majesty, yes......" Xu Xiake still replied in a restrained manner, and his heart was also turned up in a monstrous wave, he was a small lifter, and he didn't even have an official robe, but the emperor was talking to him as if he was chatting with an old friend, this feeling was really unimaginable.

Yang Gai smiled and chatted with Xu Xiake for a while, and he did all the homework that should be done, although this is boring, it is also a process that must be taken, and it cannot be omitted because it is cumbersome.

……

"Okay, Xiake is also my old acquaintance, so I won't say anything about it, I gathered everyone together today, it is indeed an important matter, and I will say it directly......" Yang Reform gave himself, and after knowing Xu Xiake to his own people here, he directly said business, for this kind of person who has not seen it, but is an "old acquaintance", Yang Reform is not hypocritical at all.

Everyone was also surprised, the emperor must have never seen Xu Xiake, but judging from the emperor's attitude, the emperor seems to have already known Xu Xiake, and he speculated in his heart, it seems that the rumored emperor likes to read the travelogue written by Xu Xiake is true, it seems that there is correspondence between the emperor and Xu Xiake, and it is also true, otherwise, it is absolutely impossible to be so familiar with Xu Xiake for the first time, and he has a high look at Xu Xiake.

"Please also ask Your Majesty to show ......" Li Tianjing is the highest official here. Said.

"A few days ago. I've said that I'm going to remap the map, but what's the progress? Yang asked reform.

"Returning to Your Majesty......" Li Tianjing heard that this was the case, and immediately stood up and replied, this matter, a while ago, was also spread in the imperial court, and it was a small matter, and Li Tianjing had also begun to work on this matter, and immediately explained his work to the emperor. Bubble *book* bar (.paoShu8.)

Yang Gengai listened for a while. I kept nodding my head, listening carefully.

After Li Tianjing finished speaking, Yang Gai began to prepare to say it himself.

“…… These are all good, though. But it still can't meet my requirements......" Yang Reform first gave such a comment, Li Tianjing made a map according to the traditional method, although there are also Yang Reform's harsh requirements, and the drawings made are exquisite, but in Yang Reform's heart, he still can't meet the requirements, and even said that it is far from his own requirements. Yang Reform is going to get the big killer of latitude and longitude, not an ordinary map, by judging latitude and longitude. Through a certain formula, you can calculate your location, which is undoubtedly a magic weapon for the ship sailing in the ocean, which is a magic weapon for centering and saving lives, and with him, the ocean will also become small.

Li Tianjing looked at the emperor with an innocent face, he was really serious and careful in doing things, but unfortunately, the emperor didn't even give him a pertinent comment. Directly rejected it entirely. …,

“…… Hehehe, don't look at me like this, what I said is true, it's not that the Qing family is not serious, and it doesn't mean that the Qing family doesn't draw well. But...... I really can't meet my needs......" Yang Gengai saw Li Tianjing's aggrieved look, and immediately explained with a smile.

“…… I also ask Your Majesty to make it clear...... "Li Tianjing is indeed very aggrieved. He really worked hard, and he did what the emperor asked him to draw the map, but why didn't he get the slightest affirmation? This is really too aggrieved.

“…… This thing I want is to be used on the sea, and I can use this thing to determine the location in the depths of the vast ocean, so as to solve the problem of not being able to locate myself in the depths of the ocean...... or the more accurate kind of ......, I don't mean that the Qing family can't do things, but my requirements are different...... "Yang Gai said with a smile.

As soon as Yang Reform's words came out, everyone was surprised.

“…… Your Majesty means that you want to be geographically overseas? Build a map for overseas? Sun Yuanhua was the first to wake up. The emperor has always done things "outrageous", he likes to plan and then act, and has bizarre behaviors such as building a "hukou" for Dongyu, and now he wants to immigrate overseas, so it is easy to understand that he will build a "hukou" for overseas and make a map.

When Sun Yuanhua said this, everyone woke up.

"Sort of, now that things at sea have become more and more important, and our dynasty is preparing to emigrate overseas in a big way, naturally, we have to get the map out first, and they all say that according to the map, at least there must be a map, isn't it?" Yang Gengai said with a smile. Yang is in a very good mood for reform, engaging in latitude and longitude, surveying the world map, this kind of work, can only be done well with the support of an empire, an individual, an organization, a small country is destined to be unable to complete these things, using the energy of the empire to do this kind of "basic" things, is exactly what an empire should do, but also a sign of the maturity of an empire.

Li Tianjing was speechless for a long time, the previous emperor could say that he was surveying and mapping the geographical mountains and rivers of the Ming Dynasty, but he did not say that even overseas should be surveyed and mapped together, surveying and mapping the mountains and rivers of the Ming Dynasty This is already a huge and heavy matter, and now the emperor is still thinking about surveying and mapping the map of the whole world, this workload, Li Tianjing has been frightened, thinking of the position of the Ming Dynasty on the globe, the proportion, Li Tianjing's two eyes began to straighten, the whole body began to soften, and his brain began to be confused.

“…… In addition to surveying and mapping maps, there is another thing, that is, to determine their own location, this matter, I think, and the map is as important as the map, I think everyone also knows, in the vast sea, there is no reference, it is difficult to determine their position, the route is slightly deviated, there may be a catastrophe, if you can accurately determine your location, there must be no fear of the sea, you can go wherever you want............ Yang Gai said.

Everyone looked at the emperor in amazement, this is indeed needless to say, it is obvious that the emperor is going to prepare for the expansion of the sea in the future, and now this matter is likely to bear fruit in ten years, twenty years, or even decades, and at that time, it happens to be the Ming Dynasty going to the South Seas. A critical time to go to the West. At that point, everything fell into place again......

"Dare to ask Your Majesty, how can this be achieved? It's almost impossible to achieve! If it is on land, there are mountains and rivers as a reference, and there are local people who can inquire, but on this vast sea, in addition to sea water or sea water, how can it be determined? Li Tianjing asked, this topic is the first time it has appeared. Li Tianjing's whole person was stunned.

"I've been thinking about this for a while, and I have some immature ideas, so let's come with me......" Yang Gai looked at the sky. Said with a smile. The so-called longitude and latitude positioning method is actually not a very advanced thing, and the basic principle has actually been there for a long time. …,

……

Yang Gai led everyone to an open area.

There is no shade here, and the scorching sun immediately shines on people. The open area is paved with cement all around, making it look clean and level. In the middle of the open field, a stick was erected, and the sun shone on the stick, and the shadow of the stick dragged on the ground.

"Have you ever seen this thing?" Yang Gengai asked with a smile.

"Back to Your Majesty. Know, this is something used to measure the season, and there are also ...... in the Qin Heavenly Prison," Li Tianjing said immediately. This kind of thing that relies on the shadow of the sun to determine the seasons is not a very profound thing, and Li Tianjing recognized it at a glance.

"Yes, I've seen some things about astronomy and calendars, and if I'm not mistaken, if it's noon, it's the shortest shadow of a stick that's as long as this stick. Then a right-angled equilateral triangle is formed between the vertices of the stick and the vertices of the shadow of the stick. ”

"Your Majesty, yes......" Li Tianjing said immediately.

"If you take this as a base point, in the same hour, two hundred miles south of you, set up another stick of the same length. Do you say, will the shadow of that stick be as long as the shadow of this stick? Yang asked reform.

There was a slight silence.

“…… Two hundred miles is too short. What if it's 2,000 miles? What will happen to the shadow of this stick? Yang Gengai saw that no one spoke for a while, and asked again.

“…… Returning to Your Majesty, in the same hour, the shadows of these two sticks will definitely not grow the same ......," Li Tianjing replied immediately.

"In the same hour, the distance between north and south has changed, and the shadow has also changed, so is there some inevitable connection between the distance between the stick and the gap between the shadow? Have some kind of proportion? Yang asked reform. Yang Reform didn't plan to completely make it clear how to get the latitude and longitude, he only planned to give a direction, and the rest would be left to these people to study by themselves. According to what Yang Reform knows, this kind of basic basic thing in science often requires the hard work of researchers year after year to produce results, and this kind of thing needs to endure loneliness and resist suffering, which is not suitable for the current Yang Reform, Yang Reform is also very self-aware, and does not intend to "preemptive" the invention of the invention of latitude and longitude. Leave it to those who work for it.

“…… Returning to Your Majesty, there should be some kind of connection, at the same hour, north and south are on the same line, then the distance between the shadows of the two sticks and the sticks must be in a certain proportion, Your Majesty means, knowing this ratio, you can deduce the distance from other places to this stick? In other words, the map can be very accurate? Li Tianjing did have a deep knowledge of astronomy, and he quickly understood.

“…… Yes, that's how I understand it......" Yang said. After saying that, he walked to another place.

Here, there is a globe, which is still relatively large. Above, according to the standard of "Kunyu Wanguo Quantu", it is very clear, and it has roughly the appearance of a world map, although it is not very accurate.

The globe looks a little strange under the sun. Yang Gengai flicked the globe, and the globe immediately rotated along its axis, making a loud sound.

“…… Look at it again, now the sun is shining on this globe, just like the sun is shining on this world, it can only shine on one side forever, isn't it? Yang asked reform.

“…… Returning to Your Majesty, yes......" Li Tianjing took the lead in replying, his brows furrowed.

"Just now, I was talking about the measurement of the distance between north and south, and in the same way, now at the same time, such as now, the shadows of several sticks on this globe must be different, the length is different, and the direction is not the same, right?" Yang Gengai said as he turned the huge globe. on this huge globe. Inlaid with several small sticks that protrude. The position of these small sticks is not very even. Yang Gengai shifted a small stick in the middle to a position facing the sun. The shadow of this small stick overlaps with the stick itself, and there is no shadow in sight, while the other small sticks that protrude around it have shadows of different lengths and directions. …,

“…… Look at it again, if it is the same stick in the same hour, because the position is different, the shadow of the stick is not the same. The orientation is different, isn't it? Yang asked reform.

"Back to Your Majesty, yes......" Li Tianjing replied only after half a sound.

“…… Then let's see if I turn this globe. Are all these shadows also changing? Yang asked again.

"Back to Your Majesty, yes......" Li Tianjing replied again.

“…… Therefore, I feel that with the change of time, the change between the shadows of the stick is fixed and regular, which should explain one thing, that is, the length of the shadow of the stick can be passed in the same hour. direction to determine one's position......" Yang Reform made a decision.

"Your Majesty means ......" Everyone led by Li Tianjing was puzzled. What is the emperor going to do?

“…… Let's put it this way, it may be helpful for you to understand, you see, this is the earth we live in......" Yang Gai said, turning the globe.

Everyone is silent, this thing, almost everyone in the Ming officialdom now has one, and if they don't put one in their own office, it is definitely a sign of being outdated and unable to keep up with the situation. So, no one was surprised by this.

“…… Look, is this sun forever? Shine on this ball year after year? Yang asked reform?

“…… Returning to Your Majesty, yes......" Li Tianjing replied, this question. It seems that there is no need to think too much about it, where the facts are. If there is no sun, the earth will be dark.

“…… Look at it again, is this ball turning day after day, year after year? Is there a fixed 365 days every year? What's changed? Yang asked reform.

"Back to Your Majesty, the four seasons of this year, indeed year after year, since ancient times, there is almost no change, although the weather is different every year, but the four solar terms, but never changed......" Li Tianjing replied firmly, as he has a deep knowledge of astronomy and calendar, of course he understands this truth, the eternal immutability of many things is an important condition for the production of the calendar, if the sun turns differently every year, the earth is not repeated year after year, and the calendar is impossible to talk about.

“…… Very well, since day after day, year after year, the sun and the earth are repeated, then the shadow of the earth ,...... For example, if you record the length and direction of the shadow of this stick, three hundred and sixty-five days in a year, twelve hours a day, and an hour divided into eight quarters, if you record every minute, every moment, every hour, every day, every month,...... Guess next year, will these shadows coincide with this year's? Yang asked reform.

“…… This ...... "Everyone, including Li Tianjing, was puzzled.

Seeing that everyone was puzzled, Yang Gengai vigorously toggled the globe with his hand, and the globe immediately rotated, and Yang Gengai pointed to the globe with a smile. As the globe turned, the shadow of the little stick on it kept getting longer, shorter, and longer, as if time was going on day after day.

“…… Returning to Your Majesty......, it should be, it seems that ......, will not change ......, even if there is, it should be difficult for us to detect, if there is, it means that the heavens, the earth, the sun and the moon are changing......" Li Tianjing said with difficulty.

“…… Returning to Your Majesty, there should be no change...... "The more determined is Sun Yuanhua.

“…… My Majesty, it shouldn't change......" John Tang also agreed.

After some thought, the unanimous answer is that it will not change, people here, have a certain understanding of mathematics, astronomy, and calendars, the sun has not changed, the earth has not changed, the stick has not changed, this shadow will naturally repeat the shadow of last year day after day, there will be no change, if there is a change, it means that the sun has changed, the rotation of the earth has changed, if so, this is definitely a big blow to the calendar, and the calendar has no basis for existence. …,

“…… It is well said that not only is the shadow of this stick repeated year after year, but the shadow of any place on this earth should also be repeated year after year. Nothing will change. Because the sun hasn't changed, the earth hasn't changed, and the shadow naturally won't change......" Yang asked Gengai.

“…… Since the shadow does not change, it is natural to infer the hour from the shadow, and if the hour is certain, then through the change ratio between the shadow and the shadow of this stick, it should be possible to get the distance and direction, right? Yang asked reform.

The crowd fell silent.

“…… His Majesty's intention is to exhaustively enumerate the shadow changes of the four seasons of the year, and to infer the hour by comparing the shadow changes of the four seasons of the year, and if the hour is certain. Through the proportion, and then calculate the distance and bearing between the ratios? …… Your Majesty, it seems that it is possible, though. It seems too cumbersome to record the length of the shadow at each moment of the year......" Sun Yuanhua seemed to understand something, and said. Sun Yuanhua has a special understanding of the emperor's thoughts, that is, to be exhaustive, to record the shadow changes of every moment of the year, which seems very silly and difficult to understand, but it is not unacceptable for Sun Yuanhua, who is accustomed to exhaustive actions. Of course, even Sun Yuanhua still thinks it's too cumbersome.

“…… Well, to put it mildly, it is indeed cumbersome to record the changes in the shadow at every moment of the year, and it can be simplified, such as recording the changes of each solar term, and then converting it through a certain proportion, I believe it should be able to simplify a lot......" Yang said.

“…… Your Majesty is reasonable......" Sun Yuanhua said.

“…… Your Majesty. It seems that it takes several shadows to be used as a reference! Moreover, it is necessary to calculate the distance between the reference shadows, and then calculate a fixed proportion, which seems to be difficult to justify, and it seems that there is still something missing......," Li Tianjing said. Although the emperor said a lot of things, it seems that he was right. But he always felt that there was still something lacking, and the emperor's statement could not be justified.

“…… Yes, I thought about this question, and I still have to work on this ball......" Yang said. After speaking, Yang Gengai stopped the globe, flipped a switch, and disassembled the globe, and suddenly the globe was like a watermelon that had been cut open, revealing the flesh inside.

“…… I looked at Master Xu's "Geometric Originals", and suddenly found an interesting thing, that is, I took off one-eighth of this ball, just like I am now, from the center of the earth to the surface of the earth, there is a right angle of 90 degrees in the north-south direction, and this east-west direction seems to be also a 90-degree right angle, don't you see? Yang Gengai said with a smile, indeed, the removed piece, if not counting the spherical surface, is a right-angled triangle.

The rest of the sphere has a hole, from the center of the earth to the surface, up and down 90 degrees, left and right seem to be 90 degrees.

“…… Look, if you take this line as the base point, is it exactly a 90-degree angle from here to here? Yang asked reform. Yang Reform removed a piece of eighth, and the remaining sphere section can be intuitively seen to be 90 degrees up and down, and 90 degrees to the left and right.

Speaking of geometry and angles, these people have all read Xu Guangqi's translation of "Geometric Originals", and they all know what an angle of 90 degrees means, but they all understand it.

“…… If you look at it again, if you take this line as the base point, is it also a 90 degree here? Yang asked again.

“…… Returning to Your Majesty, it seems to be ......" but Sun Yuanhua was the first to understand, worthy of being Xu Guangqi's student, and worthy of being the person who personally participated in the translation of "Geometric Original", and quickly reacted, and his expression was immediately different. …,

“…… Hehehe, what did Chu Yang see? Yang Gengai saw Sun Yuanhua's sudden realization, and immediately asked.

“…… Your Majesty, the minister understands, understands! In this way, any point on this hemispheric surface will be a unique point, and there must be two unique angles between this point and the specified horizontal and vertical lines! Your Majesty, if the minister is not mistaken, and then by calculating the actual distance between each clamp angle number, knowing the two degrees of this point, you can deduce the distance of the azimuth of this point, so that the diagram made is simply perfect! Especially on the vast sea, it is no longer a trace ......, Your Majesty, this is simply amazing......" Sun Yuanhua was the first to react to what was going on. He is very familiar with geometry, and he is really familiar with angles, circles, points, these things, and once he is reminded, he immediately understands that any point that delineates two prescribed lines horizontally and vertically, and any point will produce a certain angle with these two lines, and the values of these two angles are unique. For example, the right angle is 90 degrees, that is, the hemisphere is divided into four equal pieces, and its angle must be 90 degrees, as long as the actual distance of one of the degrees is clarified, then, according to the proportion, the actual distance of two degrees, three degrees, and four degrees can be converted, so that as long as you figure out the number of two angles at any point on this sphere, you can calculate his position, cover the ball with a map, and apply it to this globe, you can clearly know where you are on this globe. Based on the map, you can easily determine your location. And to find out the degree you are in, it is also very simple, at the same time, all the objects on the earth, the shadow will not change, there is a fixed proportion, through the proportion between the shadow and the degree, you can get the corresponding degree.

[About latitude and longitude, I am dizzy to write, I hope I am not wrong, if I make a mistake, I hope that some book friends can point it out and correct it. 】

[In addition, I want to say sorry.,I've been Kavin lately.,There's no motivation for updates.,People are very lazy.,It's been a long time.,I'm really sorry.] (To be continued......)

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