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해도산경(海島算經)과 조선(朝鮮) 산학(算學)

Haidao Suanjing in Joseon Mathematics

  • 투고 : 2019.11.14
  • 심사 : 2019.12.26
  • 발행 : 2019.12.31

초록

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.

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참고문헌

  1. GUO Shuchun ed. Zhongguo Kexue Jishu Dianji Tonghui Shuxuejuan, Henan Jiaoyu Pub. Co., 1993.
  2. GUO Shuchun, Jiuzhang Suanshu, Zhongguo Kexue Jishu Daxue Pub. Co., 2014.
  3. GYEONG Seon-jing, Mugsa Jibsanbeob, Seoul National University Library.
  4. HEATH T. L., The Thirteen Books of Euclid's Elements, Cambridge University Press, 1908.
  5. HONG Dae-yong, Damheonseo-Juhae Suyong, Sinjoseonsa, 1939.
  6. HONG Jeong-ha, Gu-il jib (1724), Seoul National University Library.
  7. HONG Sung Sa, HONG Young Hee, KIM Chang Il, Jo Tae-gu's Juseo Gwan-gyeon and Jihe Yuanben, Journal for History of Mathematics 31(2) (2018), 55-72. https://doi.org/10.14477/jhm.2018.31.2.055
  8. HONG Sung Sa, HONG Young Hee, KIM Young Wook, Hong JeongHa's Tianyuanshu and Zengcheng Kaifangfa, Journal for History of Mathematics 27(3) (2014), 155-164. https://doi.org/10.14477/jhm.2014.27.3.155
  9. JO Tae-gu, Juseo Gwan-gyeon (1718), Seoul National University Library.
  10. LEE Chang Koo, HONG Sung Sa, Chinese Mathematics in Chosun, Journal for History of Mathematics, 26(1) (2013), 1-9. https://doi.org/10.14477/jhm.2013.26.1.001
  11. LI Jimin, A Study on the Oriental Classic Nine Chapters of Arithmetic and Their Annotations by Liu Hui, Shanxi Renmin Jiaoyu Pub. Co., 1990.
  12. TIAN Miao, The Westernization of Mathematics in China, Shandong Jiaoyu Pub. Co., 2005.
  13. WU Wenjun, 海島算經古證探源, WU Wenjun ed. Jiuzhang Suanshu and Liu Hui, Beijing Normal Univ. Pub. Co., 1982, 162-180.
  14. WU Wenjun ed. Zhongguo Shuxueshi Daxi, Zaoqi Shuxue Wenxian, vol. 1, Beijing Normal Univ. Pub. Co., 2004.
  15. The Annals of the Joseon Dynasty, http://sillok.history.go.kr