Liu Hui's ? algorithm
Автор:
Jesse Russell,Ronald Cohn, 104 стр., издатель:
"Книга по Требованию", ISBN:
978-5-5144-4066-5
High Quality Content by WIKIPEDIA articles! Liu Hui's ? algorithm was invented by Liu Hui (fl. 3rd century), a mathematician of Wei Kingdom. Before his time, the ratio of the circumference of a circle to diameter was often taken experimentally as three in China, while Zhang Heng (78–139) rendered it as 3.1724 (from the proportion of the celestial circle to the diameter of the earth, 92/29) or as . Liu Hui was not satisfied with this value. He commented that it was too large and overshot the mark. Another mathematician Wan Fan (219–257) provided ? ? 142/45 ? 3.156. All these empirical pi values were accurate to two digits (i.e. one decimal place). Liu Hui was the first Chinese mathematician to provide a rigorous algorithm for calculation of pi to any accuracy. Liu Hui's own calculation with a 96-gon provided an accuracy of five digits: ? ? 3.1416. Данное издание представляет собой компиляцию сведений, находящихся в свободном доступе в среде Интернет в целом, и в информационном сетевом...
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