Composition technique
In his creation, Zu Chongzhi raised the issues of "distraction" and "distraction position". The word "difference power" is found in the note of Liu Hui's Nine Chapters Arithmetic, which refers to the difference in area.
"Open variance power" is the difference between the area and the length and width of a known rectangle, and its length and width are calculated by the method of square root. Its concrete solution is to solve the positive root problem with quadratic algebraic equations. And "deviation" means knowing the difference between the volume and the length, width and height of a cuboid, and finding its side length by drawing a square; At the same time, it also includes the problem of knowing the volume of cylinders and spheres and finding their diameters.
The calculation method adopted is to solve the positive root problem with cubic equation. The solution of cubic equation has never been done before, and Zu Chongzhi's solution is a pioneering work.
"ancestral ratio"
Zu Chongzhi calculated the true value of pi (π) between 3. 14 15926 and 3. 14 15927, which is equivalent to being accurate to the seventh decimal place and simplified to 3.141. Therefore, Zu Chongzhi was ranked first in the world record association world.
Reform leap method
Zu Chongzhi absorbed Zhao Xu's theory, and combined with his own observation, thought that there were too many jumps in 19 years, and there was a day difference in 200 years, while Zhao Xu's leap in 600 years was not very accurate. So Zu Chongzhi put forward a new leap method of 39 1 year 144 leap month.
Zu Chongzhi's leap week is extremely accurate. According to his calculation, the length of a tropical year is 365.438+04438+0 days, which is only 46 seconds away from today's calculation.
Extended data:
Early experience
Zu Chongzhi once said in his works that he began to "specialize in mathematics and search for the past and the present" from a very young age. He collected almost all documents, records and materials from ancient times to the present.
Zu Chongzhi was sent to Hualin University, an academic research institution of the imperial court at that time, by Emperor Xiaowu of the Southern Dynasties, and then worked in Zongmingguan.
Zu Chongzhi has come into contact with a large number of ethnic books, including books on astronomy, calendars and arithmetic, and has the conditions for reference and expansion.
Baidu Encyclopedia-Zu Chongzhi