Rod Calculus - Extraction of Cubic Root

Extraction of Cubic Root

Jiuzhang suanshu vol iv "shaoguang" provided algorithm for extraction of cubic root.

〔一九〕今有積一百八十六萬八百六十七尺。問為立方幾何?答曰:一百二十三尺。

problem 19: We have a 1860867 cubic chi, what is the length of a side ? Answer:123 chi.

North Song dynasty mathematician Jia Xian invented a method similar to simplified form of Horner scheme for extraction of cubic root. The animation at right shows Jia Xian's algorithm for solving problem 19 in Jiuzhang suanshu vol 4.

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