Journal for History of Mathematics (한국수학사학회지)

The Korean Society for History of Mathematics (한국수학사학회)
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Areas in MukSaJibSanBeob and GuIlJib

묵사집산법(默思集算法)과 구일집(九一集)에서의 넓이

  • Received : 2014.07.04
  • Accepted : 2014.08.08
  • Published : 2014.08.31
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Abstract

In China and Joseon, the measurement of the areas of various plane figures is a very important subject for mathematical officials because it is connected directly with tax problems. Most of mathematical texts in China and Joseon contained Chinese character '田', which means a field for farming, in title name for parts that dealt with problems of areas and treated as areas of plane figures. The form of mathematical texts in Joseon is identical with those in China because mathematicians in Joseon referred to texts in China. Gyeong SeonJing and Hong JeongHa also referred to Chinese texts. But they added their interpretations or investigated new methods for the measurement of areas. In this paper, we investigate the history of the measurement of areas in Joseon, which described in two books MukSaJibSanBeob and GuIlJib, with comparing some mathematical texts in China.

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References

  1. CHO Tae Gu, Ju Su Gwan Gyun, Collection of the Historical Sources in the Science and Technology of Korea, Mathematics Part 2, 1-199, Ryeogang Pub. Co., 1985. 趙泰耈, 籌書管見, 韓國科學技術史資料大系, 數學篇, 卷二, 1-199, 驪江出版社, 1985.
  2. CHOI SeokJeong, Gu Su Ryak, Collection of the Historical Sources in the Science and Technology of Korea, Mathematics Part 1, 369-704, Ryeogang Pub. Co., 1985. 崔錫鼎, 九數略, 韓國科學技術史資料大系數學篇卷一, 369-704, 驪江出版社, 1985.
  3. GUO Shuchun ed., ZhongGuo Kexue Jishu Dianji Tonghui Shuxuejuan, Henan Jiaoyu Pub. Co.,1993. 郭書春主編, <中國科學技術典籍通彙>數學卷全五卷, 河南敎育出版社, 1993.
  4. GYEONG SeonJing, MukSaJibSanBeob, Collection of the Historical Sources in the Science and Technology of Korea, Mathematics Part 1, 1-368, Ryeogang Pub. Co.,1985. 慶善徵, <黙思集算法>, 韓國科學技術史資料大系數學篇卷一, 1-368, 驪江出版社, 1985.
  5. HONG JeongHa, GuIlJib, Collection of the Historical Sources in the Science and Technology of Korea, Mathematics Part 2, 201-693, Ryeogang Pub. Co., 1985. 洪正夏, 九一集, 韓國科學技術史資料大系數學篇卷二, 201-693, 驪江出版社, 1985.
  6. HONG Sung Sa, Hong Young Hee, Lee Seung On, Mathematical Structure of Joseon mathematician Hong Jeong Ha, Journal for History of Mathematics 27(1) (2014), 1-12. https://doi.org/10.14477/jhm.2014.27.1.001
  7. HONG Sung Sa, Hong Young Hee, Kim Chang Il, Volumes of Solids in Joseon Mathematics, Journal for History of Mathematics 27(2) (2014), 101-110. https://doi.org/10.14477/jhm.2014.27.2.101
  8. KIM Chang Il, Hong Sung Sa, Hong Young Hee, Chosun Mathematician Hong Jung Ha's Genealogy, The Korean Journal for History of Mathematics 23(3) (2010), 1-20. 김창일, 홍성사, 홍영희, 朝鮮算學者洪正夏의 系譜, 한국수학사학회지 제23권 제3호 (2010년 8월), 1-20.
  9. JIN Yuzi, Kim Young Wook, Chosun mathematics in the 17th Century and Muk Sa Jib San Beob, The Korean Journal for History of Mathematics 22(4) (2009), 15-28. 김옥자, 김영욱, 17 세기 朝鮮算學과 <黙思集算法>, 한국수학사학회지 제22권 제4호 (2009년 11월), 15-28.
  10. YUN Hye Soon, Mathematics Educational Constructions and Structures in Suan Xue Qi Meng and Muk Sa Jib San Bub, The Korean Journal for History of Mathematics 25(4) (2012), 11-19. 윤혜순, 算學啓蒙과 黙思集算法의 수학 교육적 구성과 구조, 한국수학사학회지 제25권 제4호 (2012년 11월), 11-19.

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