Article ID: CBB000401219

Discussing on the Zengcheng's Method of Extraction and JIA Xian's Arithmetical Triangle (2004)

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Duan, Yaoyong (Author)


Studies in Dialectics of Nature
Volume: 20 (4)
Issue: 4
Pages: 83-87


Publication Date: 2004
Edition Details: [Translated title.] In Chinese.
Language: Chinese

By contracting the method of extraction with DAIZONG method (MDZ, which is the general form of extraction and matches with solving numerical equations) and ZENGCHENG method (MZCH, which is a kind of extraction method like Honer's method), it shows that extraction is MZCH's origin and MDZ is the bridge from extraction to MZCH. Moreover MZCH is the result of conclusion and deduction from the extraction. JIAXIANG'S Triangle, the earliest in the world, records the coefficients of binomial, though JIAXIAN didn't realized the relationship of quantity between two lines one after another. JIAXIAN, in fact, created the MZCH in which the ZENGCHENG method is the soul.

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Description History of mathematics in ancient China.


Citation URI
https://data.isiscb.org/isis/citation/CBB000401219/

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Authors & Contributors
Zou, Dahai
Yuan, Min
Qu, Anjing
Chemla, Karine Carole
Zhu, Yiwen
Zhou, Chang
Journals
Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Historia Mathematica
Chinese Annals of History of Science and Technology
Studies in Dialectics of Nature
Science and Education
Publishers
Ke xue chu ban she
Johns Hopkins University Press
Champion
Concepts
East Asia, civilization and culture
Mathematics
Astronomy
Calendars
Discrete mathematics
Mathematics education
People
Wang, Lai
Seki, Takakazu
Liu, Hui
Leibniz, Gottfried Wilhelm von
Feng, Zhongtong
Chen, Huaishu
Time Periods
Ancient
Medieval
Song-Yuan dynasties (China, 960-1368)
Tang dynasty (China, 618-907)
Qin dynasty (China, 221-207 B.C.)
Six dynasties (China, 220-589)
Places
China
Japan
Greece
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