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http://dx.doi.org/10.14477/jhm.2019.32.6.259

Haidao Suanjing in Joseon Mathematics  

Hong, Sung Sa (Dept. of Math., Sogang Univ.)
Hong, Young Hee (Dept. of Math., Sookmyung Women's Univ.)
Kim, Chang Il (Dept. of Math. Education, Dankook Univ.)
Publication Information
Journal for History of Mathematics / v.32, no.6, 2019 , pp. 259-270 More about this Journal
Abstract
Haidao Suanjing was introduced into Joseon by discussion in Yang Hui Suanfa (楊輝算法) which was brought into Joseon in the 15th century. As is well known, the basic mathematical structure of Haidao Suanjing is perfectly illustrated in Yang Hui Suanfa. Since the 17th century, Chinese mathematicians understood the haidao problem by the Western mathematics, namely an application of similar triangles. The purpose of our paper is to investigate the history of the haidao problem in the Joseon Dynasty. The Joseon mathematicians mainly conformed to Yang Hui's verifications. As a result of the influx of the Western mathematics of the Qing dynasty for the study of astronomy in the 18th century Joseon, Joseon mathematicians also accepted the Western approach to the problem along with Yang Hui Suanfa.
Keywords
Chongcha (重 差 ); Haidao Suanjing (海 島 算 經 ); Yang Hui Suanfa (楊 輝 算 法 , 1274-1275); Joseon (朝 鮮 ) mathematics; Jihe Yuanben (幾 何 原 本 , 1607); Celiang Fayi (測 量 法 義 , 1608); Celiang Yitong (測 量 異 同 , 1608); Shuli Jingyun (數 理 精 ?, 1723); Gyeong Seon-jing (慶 善 徵 , 1616-1690); Hong Jeong-ha (洪 正 夏 , 1684-1727); Jo Tae-gu (趙 泰 耉 , 1660-1723);
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Times Cited By KSCI : 2  (Citation Analysis)
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