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An Old Chinese Way of Finding the Volume of a Sphere*

Published online by Cambridge University Press:  03 November 2016

T. Kiang*
Affiliation:
Dunsink Observatory, Castlenock, Co. Dublin, Eire

Extract

On the reverse side of the Moon, just south of the Sea of Moscow, is a crater named Tsu Ch’ung-Chih. Who is Tsu Ch’ung-Chih? What did he do to be thus admitted to the honoured company of Maxwell and Hertz, of Mendele’ev and the Curies, of Lomonosov and Tsiolkovsky?

Tsu Ch'ung-Chih was a Chinese mathematician-astronomer who nourished in the fifth century A.D. He made notable contributions to the calendar calculation and determined several constants with remarkable accuracy. For example, he gave a value of 27·21223 days for the length of the nodical month, the modern value being 27·21222 days. As another example, he found that the planet Jupiter completes seven and one-twelfth circuits of the heavens in every seven cycles of 12 years; this corresponds to a sidereal period of Jupiter of 11-859 years, which differs from the modern value by only 1 part in 4000.

Type
Research Article
Copyright
Copyright © Mathematical Association 1972

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Footnotes

page 88 note *

Text of a talk first given as a Lunch-hour Lecture at University College London on February 27, 1964. Since then it was given to the Irish Astronomical Society, Dublin and Armagh Centres, and to University College Dublin Mathematical Society. Messrs. C. R. Spratt and P. Murphy, respectively of University of London and Dunsink Observatories, made solid models for illustration.

References

In the Hànyŭ Pinyin system now in use in China, the name is spelt Zŭ Chōng-Ji. The Chinese characters are given in Figure 2.