Article ID: CBB000933513

Reviewing the Process of Liu Hui's Deducing the Circular Constant through “Modifying by Ratio” (2008)

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Zhu, Yiwen (Author)


Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Volume: 27
Pages: 59--70


Publication Date: 2008
Edition Details: [Translated title.] In Chinese.
Language: Chinese

Abstract Liu Hui's method for deducing the circular constant is recorded in his comments to Nine Chapters on the Mathematical Art. However, there exits a dispute about how Liuhui got the circular constant =39271250 through modifying by ratio. Mikami Yoshio, Shen Kangshen, Li Jimin and Guo Shuchun all have their own explanations. This article reviews Liu Hui's comments and recovers the process of Liu Hui's deducing the circular constant =39271250, and analyzes the cause of the difference among the scholars. The ariticle stands at the point that the process of =39271250 created contains both mathematic principle and other factors, and finally gives a new explanation to the historical fact.

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Citation URI
https://data.isiscb.org/isis/citation/CBB000933513/

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Authors & Contributors
Zhu, Yiwen
Guo, Shuchun
Duan, Yaoyong
Chemla, Karine Carole
Wagner, Donald B.
Zou, Dahai
Concepts
Mathematics
East Asia, civilization and culture
Fractions
Cross-cultural interaction; cultural influence
Astronomy
Manuscripts
Time Periods
Ancient
Six dynasties (China, 220-589)
Qing dynasty (China, 1644-1912)
Song Dynasty (China, 960-1279)
Edo period (Japan, 1603-1868)
Ming dynasty (China, 1368-1644)
Places
China
Japan
Institutions
Jesuits (Society of Jesus)
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