ABSTRACT

By combining theoretical and computational techniques from geometry, calculus, group theory, and Galois theory, we prove the nonexistence of a closed-form algebraic solution to a Japanese geometry problem first stated in the early nineteenth century. This resolves an outstanding problem from the sangaku tablets which were at one time displayed in temples and shrines throughout Japan.

中文翻译：

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森川未解决的问题

摘要

通过将来自几何，微积分，群论和Galois理论的理论和计算技术相结合，我们证明了19世纪初期首次提出的日本几何问题的闭式代数解不存在。这就解决了曾一次出现在日本各地寺庙和神社中的僧伽碑的一个突出问题。