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Zu Chongzhi (429-500 AD) was a native of Laiyuan County, Hebei Province during the Northern and Southern Dynasties of China He read many books on astronomy and mathematics since he was a child, and he was diligent and studious, and practiced hard, which finally made him an outstanding mathematician and astronomer in ancient China
Zu Chongzhi's outstanding achievement in mathematics is about the calculation of pi Before the Qin and Han dynasties, people to"Trail three times a week"As pi, this is"Ancient rate"Later, it was found that the error of the paleorate was too large, and the pi should be"The circle diameter is more than three days", but how much is left, opinions differ Until the Three Kingdoms period, Liu Hui proposed a scientific method for calculating pi"Circumcision", use the circumference of the circle inscribed regular polygon to approximate the circumference of the circle Liu Hui calculates that the circle is inscribed with 96 polygons, and obtains =, and points out that the more sides of the inscribed regular polygon, the more accurate the value obtained Zu Chongzhi on the basis of the achievements of his predecessors, after hard work, repeated calculations, found In between and and obtained the approximate value in the form of fractions, taken as the approximate rate , taken as the dense rate, where the six decimal places are taken, it is the fraction of the closest value of the numerator denominator within 1000 What method did Zu Chongzhi use to get this result, Now there is no way to examine if it is assumed that he will press Liu Hui's"Circumcision"If you want to find this method, you have to calculate that the circle is connected with 16,384 polygons, which requires a lot of time and labor! It can be seen that his tenacious perseverance and intelligence in his scholarship are admirable Zu Chongzhi's calculation of the dense rate, it has been more than a thousand years since foreign mathematicians achieved the same result In order to commemorate Zu Chongzhi's outstanding contributions, some foreign historians of mathematics have suggested that = be called"Ancestral rate".
Zu Chongzhi read the famous classics at that time, insisted on seeking truth from facts, he compared and analyzed a large number of materials from his own measurement and calculation, found the serious errors of the past calendar, and had the courage to improve, and at the age of 33, he successfully compiled the "Ming Calendar", opening up a new era in the history of the calendar
Zu Chongzhi also worked with his son Zu Xuan (also a famous mathematician in China) to solve the calculation of the volume of the sphere with ingenious methods One of the principles they adopted at that time was:"If the power potential is the same, the product cannot be different"That is, two three-dimensional dimensions located between two parallel planes are truncated by any plane parallel to these two planes, and if the areas of the two cross-sections are constantly equal, then the volume of the two three-dimensional dimensions is equal This principle is called Cavaleri's principle in Spanish, but it was discovered by Cavaleri more than a thousand years after Zu In order to commemorate the great contribution of Zu's father and son in discovering this principle, everyone also calls this principle"The principle of ancestry".
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Zu Chongzhi was from 429 A.D. to 500 A.D., and was an outstanding mathematician and scientist in China. He was born in the sixth year of Emperor Yuanjia of Song Wen and died in the second year of Yongyuan, Marquis of Qi.
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Zu Chongzhi (429 A.D. - 500 A.D.) was an outstanding mathematician and scientist in China. During the Northern and Southern Dynasties, the Han people, the characters were far away. He was born in the sixth year of Emperor Yuanjia of Song Wen and died in the second year of Yongyuan, Marquis of Qi.
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Zu Chongzhi (zǔchōngzhī, 429 AD – 500 AD) was an outstanding mathematician and scientist in China. During the Northern and Southern Dynasties, the Han people, the characters were far away. He was born in the sixth year of Emperor Yuanjia of Song Wen and died in the second year of Yongyuan, Marquis of Qi.
Therefore, it is the Southern Dynasty people during the Northern and Southern Dynasties.
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Zu Chongzhi was from the Northern and Southern Dynasties.
Zu Chongzhi (429 500 years), the character Wenyuan, was a native of Fanyang County (now Laishui County, Hebei Province), and was an outstanding mathematician and astronomer during the Northern and Southern Dynasties.
Born in the Fan Yang Zu clan. He devoted his life to the study of natural sciences, and his main contributions were in mathematics, astronomical calendar, and mechanical engineering. On the basis of the precise method of exploring pi pioneered by Liu Hui, he for the first time actuarially calculated "pi" to the seventh decimal place, that is, between and , and the "ancestral rate" he proposed made a significant contribution to the study of mathematics.
It wasn't until the 16th century that the Arab mathematician Al Qasi broke this record.
Compilation of the "Great Ming Calendar":
After actual observation, Zu Chongzhi found that there were many errors in the "Yuanjia Calendar" compiled by He Chengtian at that time, such as the position of the sun and the moon has been 3 degrees away from the measured value, the winter solstice and summer solstice have been 1 day apart, and the appearance of the five stars has been more than 40 days, so he began to compile the "Great Ming Calendar".
In the compilation of the "Great Ming Calendar", Zu Chongzhi distinguished between the return year and the sidereal year, was the first to introduce the precession into the calendar, proposed the method of measuring the length of the sun at noon to determine the time of the winter solstice, and used the new leap week of 391 years plus 144 leap months to calculate a return year as the day. It was not until the Southern Song Dynasty's "Tongtian Calendar" that more accurate data than this was adopted.
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Zu Chongzhi was from the Northern and Southern Dynasties.
Zu Chongzhi (429-500), the character is far away. Born in Jiankang (now Nanjing), his ancestral home is Fanyang County (now Laishui County, Hebei), and he was an outstanding mathematician and astronomer during the Northern and Southern Dynasties of China.
Before the Han Dynasty, China generally used three as the value of pi, that is, "three diameter one". This is a large error when calculating the circumference and area of a circle. On the basis of the scientific method of using "circumcision" to find pi created by Liu Hui, Zu Chongzhi used the method of opening and density, and after repeated calculations, found that pi is:
Major contributions. In terms of the astronomical calendar, Zu Chongzhi compiled the "Daming Calendar", and debated the implementation of the "Daming Calendar" with the ** at that time, and wrote many refutations. And for the first time, the annual difference was used to calculate the number of days in the month of the node, the number of days in the return year, and the method of measuring the winter solstice by using the Gui table was also invented.
In terms of machinery manufacturing, Zu Chongzhi designed and manufactured many very advanced machinery and equipment at that time, such as guide cars, water mills, timers and thousand-mile ships.
In addition, Zu Chongzhi is also very proficient in music and rhythm, and also has a very high attainment in literature and research, and is good at playing chess, writing "Shu Wei Ji", is a rare erudite scientist in history.
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Zu Chongzhi was an astronomer during the Northern and Southern Dynasties of China.
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Zu Chongzhi was an outstanding mathematician and astronomer during the Northern and Southern Dynasties. The "Da Ming Calendar" written by him was the most scientific and progressive calendar at that time, and provided the correct method for the astronomical research of later generations. His main works include "Anbian Treatise", "Fixation", "Narrative of Differences", "Calendar Discussion" and so on.
Zu Chongzhi wrote five volumes of "Fixation", which was included in the famous "Ten Books of Calculation". The Book of Sui commented that "scholars could not investigate its profundity, so it was discarded and ignored", believing that the theory of "Fixation" was very profound, the calculations were quite precise, and it was not easy for scholars with high learning to understand its contents, and it was the most difficult book on mathematical theory at that time.
In "Fixation", Zu Chongzhi raised the problem of "opening the difference power" and "opening the difference". The term "difference power" is found in Liu Hui's annotation for "Nine Chapters of Arithmetic", which refers to the difference between the surface and the product. The "open difference power" is the difference between the area of the known rectangle and the length and width of the rectangle, and its length and width are found by the method of opening the square, and its specific solution is to solve the problem of solving the positive root with a quadratic algebraic equation.
The "opening difference" is to know the difference between the volume and the length, width and height of the cuboid, and use the method of opening the square to find its side length; It also includes the problem of finding the diameter of cylinders and spheres by knowing their volumes. The calculation method used is already to solve the problem of the positive root with a cubic equation, and the solution of the cubic equation has not been done before, and Zu Chongzhi's solution is a pioneering work.
It has also been circulated to Korea and Japan, and has been mentioned in the ancient education systems and bibliography of Korea and Japan.
In the History of the Song Dynasty Chu Yan Biography, it is said: "In the "Nine Chapters", "Ancient Seizure", "Fixation" and "Island", the grandsons tease and tell the scriptures, which is especially wonderful. Tiansheng (1023-1031) made a new calendar".
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