• Title/Summary/Keyword: 유씨구고술요도해

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Right Triangles in Traditional Mathematics of China and Korea (산학서의 직각 삼각형)

  • Her Min
    • Journal for History of Mathematics
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    • v.18 no.3
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    • pp.25-38
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    • 2005
  • We briefly survey the history of Chinese mathematics which concerns the resolution of right triangles. And we analyse the problems Yucigugosulyodohae(劉氏勾股述要圖解) which is the mathematical book of Chosun Dynasty and contains the 224 problems about right triangles only. Among them, 210 problems are for resolution of right triangles. We also present the methods for generating the Pythagorean triples and constructing polynomial equations in Yucigugosulyodohae which are needed for resolving right triangles.

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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.