Portrait of Liu Hui
Liu Hui is a famous mathematician in ancient China and even in the world. Through continuous research, he put forward' circumcision' in a very simple environment and got a more accurate pi. This was a very great discovery at that time, and it also led China to calculate pi in the world.
Liu Hui put forward the theory of circumcision in his works, which can be used to calculate pi. In the ninth chapter of Arithmetic, it is mentioned that "Wednesday is the diameter", which means that the approximate value of pi is three. But Liu Hui thinks this figure is too general and inaccurate, and points out that this figure cannot be regarded as pi. Later, in an accidental event, Liu Hui discovered that the more sides a circle inscribed with polygons, the closer the perimeter of polygons is to the perimeter of the circle, which is the reason for secant circle technology. Using secant technology, Liu Hui started cutting from the inscribed regular hexagon and then from the dodecagon. Before calculating 96 hexagon, the approximate value of pi can be obtained as 3. 14. However, Liu Hui is not satisfied with this. He continued to calculate further and got the most accurate pi 3. 14 16 in the world at that time.
Liu Hui was a great mathematician. His achievements in mathematics had a far-reaching impact on the development of mathematics in later generations.
Pi is in Liu Hui.
Liu Hui was a famous mathematician in ancient China. He invented circumcision, which laid the foundation for the calculation of pi. His works are regarded as a treasure house of mathematics. So, what's the story between Liu Hui and Pi? Liu Hui was the greatest mathematician in Wei and Jin Dynasties. His theory had a far-reaching influence on the later development of mathematics. It was Liu Hui who put forward the calculation method of pi, which made China take the lead in calculating pi.
Pi chart
What is pi? Why do you need pi? The so-called perimeter ratio is the ratio of the perimeter to the diameter of a circle. Pi is directly related to the calculation accuracy of spheres and circles. Liu Hui uses the "tangent circle method" to tangent the circle from the regular hexagon of the circle. So he found that as long as he cut more carefully, the gap between polygon and circle would become smaller and smaller. The main idea of his sentence is: "The smaller the incision, the smaller the gap. Cut and cut, until you can't cut any more, you can overlap the circumference. There is no difference. " In order to prove this theory and calculate pi more accurately, Liu Hui cut it very carefully. Finally, he calculated the area of 3072 sides and verified that pi was 3. 14 16.
Liu Hui always insisted on calculating the approximate value of pi, and his foreskin operation provided a theoretical basis and a perfect method for calculating pi, which was 3. 14 16. This was a big step ahead of others in the calculation of pi in mathematics at that time, which made the calculation of pi in China reach a high starting point.
Liu Hui and Circumcision
Liu Hui was the most famous mathematician in Wei and Jin Dynasties. Although he was born in poverty, he studied mathematics hard and made great achievements in mathematics. The invention of secant circle is one of his achievements. Next, let's see how Liu Hui invented the secant circle.
Slice picture
What's turning? Liu Hui described it this way: "If you cut it carefully, you will lose less. Cut it again, so you can't cut it again, and there is no loss when it becomes round. " Generally speaking, the method of finding the perimeter ratio is to multiply by the number of sides of the inscribed regular polygon.
Newton discovered the law of universal gravitation, and Liu Hui discovered the process of tangent circle similar to Newton. One day, Liu Hui happened to see a stonemason cutting stones. Looking at it, he found it interesting. He stood by and observed carefully. Liu Hui saw a square stone with four corners cut off by a stonemason. The four corners of the stone instantly become eight corners, then the eight corners are cut off, and so on. Masons have been cutting corners one by one until there is no place to cut corners. Finally, Liu Hui found that the square stone had unconsciously turned into a smooth pillar.
Masons polish stones every day, but these are small things. Liu Hui suddenly opened it and saw something that others couldn't see. Liu Hui kept drawing circles like a stonemason, and finally invented the "tangent circle method".
Inspired by Liu Hui's accident, he invented the "tangent circle method" combined with the calculation method of pi, which provided a set of rigorous theory and perfect algorithm for the calculation of pi.
Liu Hui's masterpiece.
Liu Hui is a great mathematician in the history of China. His representative works "Nine Arithmetic Notes" and "Arithmetic Classics on the Island" are treasures in the field of mathematics in China and are of great significance to the development of mathematics. Next, let's take a look at Liu Hui's representative works.
Portrait of Liu Hui
Liu Huisheng was born about 250 years ago. He has been obsessed with mathematics all his life. He worked tirelessly in the ocean of mathematics and put forward many important theories. He summed up his research and wrote Nine Chapters of Arithmetic Notes, Arithmetic Classics of Islands and Nine Chapters of Difference Diagram. Unfortunately, Liu Hui's last two works were lost in the Song Dynasty and can't be found anywhere. However, Liu's key position in mathematics is unshakable.
Written in the early Eastern Han Dynasty. This book puts forward solutions to 246 problems. But these schemes are relatively primitive, so Liu Hui made some supplementary explanations. From these explanations, we can clearly see the depth of Liu Hui's research on mathematics. First of all, he put forward decimals, which linked the cubic roots of irrational numbers with decimals. In addition, he also explained positive and negative numbers, which made a great contribution to geometry.
This is the earliest survey work in China. Nine questions in this book are calculated by measuring height, depth, width and distance. Because the first question is
Liu Hui's two works contain profound scientific thoughts. On the basis of inheritance, Liu Hui used all kinds of excellent ideas to innovate mathematics research, which made mathematics research enter a new stage.