Departmental Bulletin Paper 建部賢弘『研幾算法』による弓形の弧長の導出式の復元について

佐藤, 賢一

30 ( 1 )  , pp.52 - 61 , 2018-02-01 , 電気通信大学
This paper introduces one traditional Japanese mathematical book, Kenki Sanpo (1683) by Katahiro Takebe (1664 - 1739). In this book Takebe solved a problem of area of segment utilizing the approximate formula for the length of arc reduced by means of Lagrange interpolation. The author points out Takebe’s solution was constructed on the base of simultaneous equations which the ancient Chinese mathematician developed on the 1st century A.D.

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