Zu Chongzhi's approximation of pi
Meanings
1 sense · 4 examplesnoun
Zu ratio; Zu Chongzhi's approximation of pi (π) calculated to be between 3.1415926 and 3.1415927
formalHistorical mathematical term named after the mathematician Zu Chongzhi (祖冲之, 429–500 AD) of the Northern and Southern Dynasties. While Zu Chongzhi also proposed the approximate ratio 22/7 (疏率, rough ratio) and the precise ratio 355/113 (密率, precise ratio), the term 祖率 specifically refers to his decimal approximation of pi between 3.1415926 and 3.1415927. This was the most accurate approximation of pi in the world for nearly a thousand years.
The Zu ratio calculated pi to the seventh decimal place.
The Zu ratio calculated by Zu Chongzhi falls between 3.1415926 and 3.1415927.
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To commemorate Zu Chongzhi, later generations called the pi value he calculated the Zu ratio.
The Zu ratio was more accurate than the calculation results of other countries in the world at that time.