• Title/Summary/Keyword: Lee Sang Hyuk

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Lee Sang Hyuk's ChaGeunBangMongGu and Shu li jing yun (이상혁(李尙爀)의 차근방몽구(借根方蒙求)와 수리정온(數理精蘊))

  • Hong, Sung-Sa;Hong, Young-Hee
    • Journal for History of Mathematics
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    • v.21 no.4
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    • pp.11-18
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    • 2008
  • In this paper, we investigate Lee Sang Hyuk (李尙爀, $1810{\sim}?$)'s first mathematical work ChaGeunBangMongGu(借根方蒙求, 1854) and its relation with Shu li jing yun and Chi shui yi zhen. We then study an influence of western mathematics for establishing his study on algebra.

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Nam Byung Gil and his Theory of Equations (남병길(南秉吉)의 방정식논(方程式論))

  • Hong, Sung-Sa;Hong, Young-Hee
    • Journal for History of Mathematics
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    • v.20 no.2
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    • pp.1-18
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    • 2007
  • In the middle of 19th century, Chosun mathematicians Nam Byung Gil(南秉吉) and Lee Sang Hyuk(李尙爀) studied mathematical structures developed in Song(宋) and Yuan(元) eras on top of their early studies on Jiu zhang suan shu(九章算術) and Shu li jing yun(數理精蘊). Their studies gave rise to a momentum for a prominent development of Chosun mathematics in the century. In this paper, we investigate Nam Byung Gil's JipGoYunDan(輯古演段) and MuIHae(無異解) and then study his theory of equations. Through a collaboration with Lee, Sang Hyuk, he consolidated the eastern and western structure of theory of equations.

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Gou Gu Shu in the 19th century Chosun (19세기(世紀) 조선(朝鮮)의 구고술(句股術))

  • Hong, Sung-Sa;Hong, Young-Hee;Kim, Chang-Il
    • Journal for History of Mathematics
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    • v.21 no.2
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    • pp.1-18
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    • 2008
  • As a sequel to the previous paper Gou Gu Shu in the 18th century Chosun, we study the development of Chosun mathematics by investigating that of Gou Gu Shu in the 19th century. We investigate Gou Gu Shu obtained by Hong Gil Ju, Nam Byung Gil, Lee Sang Hyuk and Cho Hee Soon among others and find some characters of the 19th century Gou Gu Shu in Chosun.

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Utilizing 'Wonyongsambanghogu' in mathematics education (원용삼방호구(圓容三方互求)의 수학교육적 활용)

  • Yang, Seong Hyun
    • Journal for History of Mathematics
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    • v.27 no.5
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    • pp.313-327
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    • 2014
  • Based on the importance and the necessity of the study on history of mathematics and mathemtics education using history of mathematics for finding the cultural identity and values of our traditional mathematics, we refer to two types of teaching and learning methods utilizing 'WonYongSamBangHoGu', the second theme of 'SanSulGwanGyeon' written by Lee Sang Hyuk. First, we present various cases of 'WonYongSamBangHoGu' constructed utilizing kind of mathematics learning software, GeoGebra by high school freshmen belonging to the Education Centers for the Gifted in Seoul Science Park. Second, We modernly reinterpret the questions contained in 'WonYongSamBangHoGu' and show several developed items using it.

Gou Gu Shu and Theory of equations in Chosun (조선(朝鮮)의 구고술(勾股術)과 방정식론)

  • Yun, Hye-Soon
    • Journal for History of Mathematics
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    • v.24 no.4
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    • pp.7-20
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    • 2011
  • Investigating constructions of equations by Gou gu shu(勾股術) in Hong Jung Ha(洪正夏)'s GuIlJib(九一集), Nam Byung Gil(南秉吉)'s YuSiGuGoSulYoDoHae(劉氏勾股術要圖解) and Lee Sang Hyuk(李尙爀)'s ChaGeunBangMongGu(借根方蒙求), we study the history of development of Chosun mathematics. We conclude that Hong's greatest results have not been properly transmitted and that they have not contributed to the development of Chosun mathematics.

KaiFangShu in SanHak JeongEui

  • Hong, Sung Sa;Hong, Young Hee;Kim, Young Wook;Kim, Chang Il
    • Journal for History of Mathematics
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    • v.26 no.4
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    • pp.213-218
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    • 2013
  • This paper is a sequel to the paper [8], where we discussed the connection between ShiShou KaiFangFa originated from JiuZhang SuanShu and ZengCheng KaiFangFa. Investigating KaiFangShu in a Chosun mathemtics book, SanHak JeongEui and ShuLi JingYun, we show that its authors, Nam ByungGil and Lee SangHyuk clearly understood the connection and gave examples to show that the KaiFangShu in the latter is not exact. We also show that Chosun mathematicians were very much selective when they brought in Chinese mathematics.