History of the Yuan Dynasty Volume 52 (4) (5)
The reason why the column stays in the sky is because there are eight out of twenty, which is very strange for the degree of 365. Unless it is a day, there is no way to correct the degree, unless it is a house, there is no way to discipline the degree, and Zhou Du is caused by both. Celestial bodies are round. When the poles are in the north and south, they are connected with the equator, and the sun, the moon and the five stars often go in and out. The sky turns left, the sun, the moon and the five stars turn right. People in the past, such as the sun, the moon and the stars, are also called this. However, with different column spacing, the measurement of past dynasties is also different. If there is no slight movement, the previous measurements may not be dense. Peephole was used in ancient times, but now a new armillary sphere is made, which is measured by second line. The measured minutes and seconds are different from the previous generation and listed on the left.
(table omitted)
Riyou
The sun is beautiful, the county elephant is the most beautiful, and Daming is doomed. If the ancients want to measure the degree of darkness, they must use the magnitude of midnight to test their distance and their proper position; However, it is not easy to get the truth in the middle of the night. If there is a time difference, the distance and the right time and place cannot be ignored. Some Jinjiang eclipses for the first time and know where the sun is; The "Era Calendar" is based on the fact that the distance between them is too white, and the degree of stars is determined after fainting and before the Ming Dynasty, so the sun is shining. Today, with the total lunar eclipse in April, it is inferred that the winter solstice is at the equator 10 degrees and the ecliptic is 9 degrees. Or from the first month to the end of the year, between three years, measure the number of nights left in the lunar calendar and the distance from the old star to Taibai to determine the reference. * * * got 134 things, all of which are suitable for eclipse. According to Ming Li compiled by Jin, the winter solstice is still 36 minutes and 64 seconds, which is 76 minutes and 64 seconds worse than the new measurement.
Daily surplus and contraction
The journey between the sun and the moon has winter and summer, and winter and summer are different. People only know once a day, once a year and once a week, but they never know the profit and loss. Four orders are different. Zhang Zixin accumulated in the Northern Qi Dynasty, and when the total eclipse increased, he felt that the daily travel gas was different, but the profit and loss were not correct. Zhao Daoyan re-approved the length of the scene, set the date of advance and retreat, and even made concessions for grain transportation. For Liu Zhuo, it is different from the fourth-order lifting. Although the gains and losses are different, future generations will use them.
Husband and wife exchange yin and yang, tame changes, once strong in winter solstice, but 24 degrees away from the equator. Since then, the solar orbit has gradually moved northward, accumulating 9 1 point on the 88th, and 9 1 degree 3 1 minute when it crosses the equator three days before the vernal equinox. Since then, its profit has been losing money, and it recovered at 7 1 minute on the 93rd. On the day of summer solstice, it entered the equator at 24 degrees, and it was realized at 9 1 degree 3 1 minute. The daily line was once weak, and its profit was completely lost. Since then, the sun's track has gradually moved southward, reaching 7 1 min in 93 days, crossing the equator three days after the autumnal equinox, and recovering at 9 1 day 3 1 min. Since then, it has shrunk to 9 1 min on the 88th, and it is 24 degrees weaker outside the equator. In 9 1 min 3 1 min, it will be the winter solstice again, and there will be no loss. There are gains and losses, the first is profit and the second is loss. Since winter solstice, vernal equinox, vernal equinox and summer solstice, the sun has turned from Hokuriku to the west and from the west to the south, benefiting from surplus, benefiting from extreme loss and reducing losses. Since summer solstice, autumnal equinox, autumnal equinox and winter solstice, the sundial has turned from the south to the east, from the east to the north, from atrophy to benefit, from benefit to loss, and from loss to re-surplus. Initial profit, final contraction, all 9 1 point on the 88th. At the beginning of contraction, at the end of surplus, they all walk at 7 1 point on No.93; The surplus and contraction are extremely poor, both of which are two degrees and forty minutes. Whether it is actually observed or arithmetically inferred is consistent with the measurement.
Late diseases on the moon
The ancient calendar said that the moon was parallel to 13 degrees, divided into seven degrees and nineteen degrees. Han Geng Shou Chang thought that the sun and the moon went to Petunia and Dongjing, and the day was excessive. The moon went 15 degrees and began to be parallel to the building and the corner, which was caused by the equator. Jia Kui thought that the new moon, the string moon and the eclipse were all overtime, and those who missed it didn't know that the moon would be late. Li Fan and Su Tong are both ill in the evening, and they don't have to be between Petunia, Tokyo and Loujiao, but born near the street. After more than 20 years of careful thinking, Liu Hongzuo's "Dry Elephant Calendar" began to understand its reason and listed it as slip rate to avoid gains and losses. After the calendar, it is salty. When I arrived at Tang and his party, I took nine twists and turns and got the cause of monthly illness.
The ancients called the moon and the five stars, all of which were sick recently, and the days were far away and late. In the legislation of calendar, the date of entering a week is the second calendar of late illness, and each calendar has two limits, which are beneficial at first and harmful at last. At the beginning and end of the disease, the mobility is too parallel; The speed is not as good as that of parallel imports. From the beginning to the beginning of the day, the line strength14.5 degrees, from beginning to end, seven days, suitable for parallel. It is called the initial disease limit, and its product is five degrees and forty-two points higher than the parallel line. The disease is naturally a daily loss, lasting for seven days, and the line is slightly stronger than 12 degrees. Those who benefit from it are exhausted and have nothing left, which is called the end of illness. Double track is naturally delayed and lasts for seven days, which is suitable for parallel. It is called the initial limit of delay, and its product is less than five degrees and forty-two minutes. After that, the degree of travel gradually increased, reaching seven days, 14.5 degrees. Those who benefit from it have nothing to lose, which is the so-called late limit. A week later, at 55: 46 on the 27th, the range of advanced illness was 5 degrees and 42 minutes. The old calendar is limited to one day, and all are limited to 28 days. The test center is different when you advance and retreat today. Today is 12 days, the limit is * * * 336, half a week and a half, analyze the four quadrants.
Bai Dao jiao Zhou
When the two poles are in the north and south, the equator is also the pole that passes through the celestial body to maintain the degree. Entering and leaving the equator is a one-day trajectory, and the ecliptic is also. The so-called intersection of the ecliptic and the white road makes sense. The ancients followed Li Fang's name and divided it into eight lines, which are nine and the ecliptic. In short, it is actually a. But it changes with the exchange, so it is strong in the name of square color.
When the moon goes in and out of the sun, the two intersect. At the new moon, the sun is covered by the moon, and at the full moon, the moon is washed by the sun, so everyone has food. However, the distance involved and the depth of food can be calculated. The so-called week is the day when the moon goes in and out of the sun. The distance between Sun Road and the equator is 20 degrees. The moon goes in and out of the sun, no more than six degrees; It is also far from the equator, but not more than 30 degrees and not less than 18 degrees. Outside the ecliptic is yang, and inside the ecliptic is yin and yang, which are divided into four elephants. In the middle of the month, when the ecliptic is orthogonal, the six degrees outside the ecliptic are half-crossing, so when the ecliptic is in the middle, the six degrees inside the ecliptic are half-crossing, which is four images. Like seven days, 91 in each line, surrounded by calendars, representing the end of a meeting. In days, it is 27 days, 21 minutes, 22 minutes and 24 seconds. Every time you pay, you will return to heaven for 93 points, and every time you pay 249 points, you will return to heaven for a week and start all over again. Spring is orthogonal, six degrees outside the ecliptic and eighteen degrees inside the equator. Autumn is orthogonal, six degrees outside the ecliptic and thirty degrees outside the equator. The intersection point is in spring, and the half intersection point is six degrees of the ecliptic and thirty degrees of the equator. The middle intersection is in autumn, and the half intersection is six degrees inside the ecliptic and eighteen degrees outside the equator. The path of the moon is orthogonal to the equator, and the orthogonal stay from the equator in the Spring and Autumn Period is less than two-thirds of fourteen degrees from east to west. The summer solstice is in the lunar calendar, and the winter solstice is outside the solar calendar. The moon and the equator are different. The summer solstice is outside the solar calendar, the winter solstice is inside the lunar calendar, and the difference between the moon and the equator is small. Cover the white road, there are oblique and straight, yin and yang calendar, inside and outside, the straight one is dense and narrow, the oblique one is sparse and wide, and the differences are also different. Today, the method of setting an image is used to find it. The difference is only three degrees and fifty minutes, at least not less than one degree and thirty minutes. This is the difference between the Moon Road and the equator.
Day and night sculpture
Sunrise is day, day is night, day and night is a week, and * * * is a hundred minutes. Divide it into twelve days, each day is one third of eight days. There is no difference between north and south. It is natural that the days are short and the nights are long and the nights are short and the days are long. At the vernal equinox and the autumnal equinox, when the equator passes in and out, they wait day and night, each for 50 minutes. From the vernal equinox and summer solstice, the sun enters the equator and sinks near the pole, with short nights and long days. From the autumn equinox to the winter solstice, the sunrise is outside the equator, and the days are short and the nights are long. If you shoot on the ground, it will not be longer than 60 minutes, nor shorter than 40 minutes. In the south of the earth, the solstice in summer goes to the sun, the farthest in and out, less than 60 minutes in length; The solstice in winter is close to the day, and its short duration is more than forty minutes. In the north of the earth, the summer solstice is close to daylight, with a length of more than 60 minutes; It took a long time to go to Japan that winter solstice, and its short time was less than forty minutes. Today, the winter solstice sunrise in Shi Jing is now in the morning of the second quarter and enters Shen Zheng in the second quarter, so it is carved at 38 in the day and 62 in the evening. The summer solstice sunrise is exactly two minutes, and one day enters the second quarter of the first day, so the day is sixty-two and the night is thirty-eight. There is a north-south cover, and the competition is extremely fierce. One day is early and late, so it is different. Today's "Timing Calendar" is carved day and night, with the capital as the positive, and its measurement of the height of the North Pole is shown in "Tian Wen Zhi".