IsisCB Explore

Article ID: CBB000952278

Chinese Mathematicians' Researches on the Golden Section in the Early Qing Dynasty (2008)

Dong, Jie (Author)
Wang, Wei-dong (Author)

Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Volume: 37, no. 4
Issue: 4
Pages: 573-578

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

Outside Links

WorldCat

Google Scholar

JSTOR

Academia.edu

During the late Ming Dynasty, Golden Section, which is named by Xu Guangqi as Lifenzhongmoxian, was introduced into China by Euclid's element, and furthermore, Chinese mathematicians in the early Qing Dynasty enriched Golden Section by clarifying its principles according to their understandings. Three Chinese mathematicians, Li Zijin, Mei Wendingand Yang Zuomei, studied Golden Section from different aspects. What underlies their understandings is that they all adopted the same principle, gougu principle3, as the basis for explaining Golden Section. At the same time, they illustrated Golden Section by using various clear diagrams. Therefore, although there is different among them in the depth of adopting Golden Section, it is beyond all doubt that the three arithmeticians brought forth new ideas from the western arithmetic.

...More

Description [Citation contributed by Duan Yaoyong.]

Citation URI

https://data.isiscb.org/isis/citation/CBB000952278/

Citations Indexes

Similar Citations

Chapter Andrea Bréard; Annick Horiuchi; (2014)
History of Mathematics Education in East Asia in Premodern Times (/isis/citation/CBB183789002/)

Article Scheid, Volker; (2013)
Transmitting Chinese Medicine: Changing Perceptions of Body, Pathology, and Treatment in Late Imperial China (/isis/citation/CBB001510504/)

Article Ch'iu, Chung-lin; (2006)
Smallpox inoculation in China from the Ming to Qing Dynasties: regional spread, knowledge dissemination, and bacterin production (/isis/citation/CBB000701138/)

Article Chen, Yue; (2009)
The Influence of Jie Xuan's Cosmology in China (/isis/citation/CBB000952333/)

Article Tian, Miao; (1999)
Jiegenfang, Tianyuan, and Daishu: Algebra in Qing China (/isis/citation/CBB000330319/)

Book Jami, Catherine; (2012)
The Emperor's New Mathematics: Western Learning and Imperial Authority during the Kangxi Reign (1662--1722) (/isis/citation/CBB001250505/)

Thesis Ping-Ying Chang; (2015)
Chinese Hereditary Mathematician Families of the Astronomical Bureau, 1620–1850 (/isis/citation/CBB621834765/)

Book Ori Sela; (2018)
China's Philological Turn: Scholars, Textualism, and the Dao in the Eighteenth Century (/isis/citation/CBB127543370/)

Article Guo, Shirong; Li, Di; (2004)
The Background of the Discussion about Mathematics between the Chinese He Guozhu and the Korean Hong Chôngha (/isis/citation/CBB000401194/)

Article Zhang, Fang; (2015)
Changes in and Influence of the Images in the Bencao Yuanshi (/isis/citation/CBB543046519/)

Book Ian M. Miller; Paul S. Sutter; (2020)
Fir and Empire: The Transformation of Forests in Early Modern China (/isis/citation/CBB869490594/)

Article Xiaoyan Dong; (2022)
The Contest between Life-Oriented and Specialization : A Study on the Self-treatment Phenomenon in Ming and Qing Dynasties in China (/isis/citation/CBB847702798/)

Book Zhang, Bai-chun; (2001)
The Europeanization of Astronomical Instruments in the Ming and Qing China (/isis/citation/CBB000340053/)

Article Michela Bussotti; Han Qi; (2014)
Typography for a Modern World?: The Ways of Chinese Movable Types (/isis/citation/CBB818470899/)

Article Po-Huei, Hsieh; (2012)
Wang Shuhe Maijue (the Pulse-Diagnostic Song of Wang Shuhe) Controversy and the Construction of Scholarly Medical Knowledge in Late Imperial China (/isis/citation/CBB001213714/)

Article Wang, Bin; (2011)
A Preliminary Inquiry into the Rise and Collapse of Traditional Chinese Needle-Making in Its Social Context (/isis/citation/CBB001221313/)

Article Golas, Peter J.; (2003)
Technical Representation in China: Tools and Techniques of the Trade (/isis/citation/CBB000410984/)

Article Wang, Guangchao; Wu, Yunhao; Sun, Xiaochun; (2008)
The Impact of the Telescope on Chinese Astronomy during the Late Ming and Early Qing Period (/isis/citation/CBB000933532/)

Article Sun, Chengsheng; (2009)
On the Composition and Circulation of Jie Xuan's Xuanji Yishu (/isis/citation/CBB000933760/)

Article Dagmar Schäfer; (2018)
10000 Dinge – Modelle und Technologie im China der Ming (1369–1645)- und Qing (1645–1912)-Periode (10000 things - models and technology in Ming (1369-1645) and Qing (1645-1912) period China) (/isis/citation/CBB120099008/)

Comments

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}