Zu Chongzhi (429 - 500) lived in the period
of Song and Qi of Southern dynasties. He devoted himself to study in his youth,
being especially fond of mathematics. He also liked ancient astronomical research.
Zu Chongzhi greatest achievements lay in maths. He calculated a more precise ratio
of the circumference of a circle. Pi is the ratio between the diameter and
circumference of the circle. Ancient Chinese understood this concept very early,
but not too accurately. Zu Chongzhi summed up the experience and decided to use
the way of "Cut Circle" pioneered by Liu Hui, who lived in the period of "Three
Kingdoms", to seek pi. However, the computation tools at that time were bamboo
sticks. For the nine-digit arithmetic, 130 times of computation were needed, which
was prone to error. Zu Chongzhi repeated each count at least twice. until a few
calculations got the same results. After working hard on the calculation, he finally
reached the ratio of the curcumference of a circle to its diameter at between 3.1415926
and 3.1415927.
Zu Chongzhi was the world's first scientist operator to put pi seven digits
after the decimal point. And it was not until the 15th century that an Arab mathematician
named Al-Kashi and a 16th century French mathematician Viete surpassed him by projection
it to 16 digits after the decimal point. In addition, Zu Chongzhi compiled his major
achievements in mathematics into a book called Zhuishu, which became the
main textbook on mathematics in China during Tang Dynasty.
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