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- W4300366111 abstract "This geometry problem rose to great prominence among Japan's mathematicians after it was posted on a sangaku in 1749. Several scholars presented solutions, most famously Ajima Naonobu in 1774. Here we present Ajima's celebrated solution, along with a modern interpretation of his analysis, which notably employs the computation of a determinant via cofactor expansion. This article consists, in large part, of a translation of a modern Japanese language reconstruction of Ajima's solution. Some historical context is also provided. 1749年以前に公開されたにこの算額の問題に刺激され日本の数学者の間で図形問題の研究が盛り上がった。 この問題に対して数人の数学者が解答を公開した。 そのうち1774年の安島直円の解法が有名である。 この論文で安島の解法を忠実にたどって紹介する。 その解法中に行列式の余因子展開が示されている。 この論文は安島の解法を現代の日本語に直したものを基にしている。 歴史的事項も加えた。" @default.
- W4300366111 created "2022-10-03" @default.
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- W4300366111 date "2022-11-01" @default.
- W4300366111 modified "2023-09-27" @default.
- W4300366111 title "Ajima's solution to the Gion shrine problem: A modern interpretation" @default.
- W4300366111 doi "https://doi.org/10.1016/j.hm.2022.06.001" @default.
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