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Zu Chongzhi and the Chinese Calendar Reform of 462 AD
SECTION 1:INTRODUCTION - A BRIEF BIOGRAPHY OF ZU CHONGZHI
Zu Chongzhi (429-500 AD) is one of the most famous ancient Chinese
mathematicians in both China and the Western world, but his contributions in the field
of astronomy are largely ignored outside Asia, partly due to ignorance of the Chinese
system of astronomy. This project seeks to address that gap in understanding, and also
to explore the interesting question of whether Zu Chongzhis achievements, while
under-rated in the West, might also be over-rated in his own homeland.
First of all, a description of Zus life and work will be necessary. Zu
Chongzhi was born in a family with a tradition of scholarship and scientific research.
The Zu clan had their ancestral home in Fanyang, to the southwest of what is now
Beijing. During the barbarian rebellion of the early 300s (more of which will be
spoken in the next section), however, they were forced to flee south across the Yangzi
River and settle in the new southern capital of Jiankang (present-day Nanjing).
Chongzhis grandfather Zu Chang was himself a skilled engineer and inventor who
held the post of Minister of Construction (Da Jiang Qing) in the imperial court. His
father Zu Shuozhi held the post of Minister by Appointment (Feng Chao Qing),
somewhat equivalent to a technical consultant.
From his youth, Zu Chongzhi had a keen interest in mathematics and
astronomy. His inquiring nature led him to read widely into scientific works both old
and new, but always with a critical and analytical eye. In his 20s, he was appointed by
the reigning emperor Liu Jun to serve in the Imperial Institute (Hualin Xueshen), the
largest research body within the state. During this time, based on the work of previous
experts from the Han and Wei Dynasties, he derived the most refined and accurate
value for ð in the world up to that time between 3.1415926 and 3.1415927. This
value, correct to 7 decimal places, was far more exact than the previous value of 3.14
derived by Liu Hui in the Wei Dynasty, and in fact was not surpassed until the 15th
century, when a value to 17 decimal places was obtained.
Zu Chongzhi was later posted out of the capital, as a staff officer to the
governor of the province of South Xuzhou, based in Jingkou (present-day Zhenjiang).
While holding this post, he researched into the workings of the Yuanjia calendar
which had been in use since 443, discovered its flaws, and privately formulated a new
calendar to replace it. Upon its completion in 462, he submitted it to the imperial
court. However, due to political reasons (which will be explained in Sections 5 and 6),
it did not come into use until the year 510. By then, Zu Chongzhi had been dead for10
years.
Zu Chongzhi was a man of many talents. Besides his work in astronomy and
mathematics, he was said to be a master of court music and the mathematical games
Bo and Sai. He also engaged in several feats of engineering and invention in his
later life. From his post in South Xuzhou, he was promoted first to magistrate of the
county of Louxian, and then to Executive Secretary of Protocol (Yezhe Pushe) at the
imperial court. Then, in 478, the powerful Grand Marshal Xiao Daocheng (who
usurped the throne the next year) commissioned Zu to reconstruct the famous south
pointing chariot (Zhinan Che) which had last been built by the genius inventor Ma
Jun in the Wei Dynasty, 250 years ago. This chariot incorporated the figure of a man,
arm outstretched, who would rotate to point south no matter which direction the
chariot faced. However, the relevant technology for building it (said by modern
researchers to involve advanced differential gears) had been lost in the tumultuous
years since the Wei. Zu Chongzhi succeeded in this task, but a traveling expert from
the North, named Suo Yulin, then claimed to also know how to construct such a
chariot. The emperor therefore held a demonstration for both chariots in the Imperial
Gardens, whereupon Suos chariot proved much inferior and was confiscated and
burnt.
⇒ Introduction to Chinese Calendar - How the astronomers developed it
⇐ The Mathematics of the Chinese Calendar
✍: Yang Shao-yun, et al.
2021-10-23, 2727🔥, 0💬
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