"Sea Island Calculation" - Kaito Sankei

Japanese: 《海島算経》 - かいとうさんけい

…In 263 (4th year of Jingyuan), he added annotations to the nine volumes of “Nine Chapters on Mathematics” and compiled one volume of “Chongzha” and one volume of “Nine Chapters on Chongzha” (Map of Chongzha). “Chongzha” was called “Haidao Suanjing” during the Tang dynasty. The annotations to “Nine Chapters on Mathematics” contain many original ideas, but the method of calculating pi by dividing the circle uses the idea of the limit, determining the approximate value of pi = 3.14 from the area of a regular 192-sided polygon inscribed in a circle, and determining 3.1416 from the area of a regular 3072-sided polygon. …

*Some of the terminology explanations that refer to "Kaidao Sanjing" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:

…263年(景元4)に《九章算術》9巻に注釈を加え，《重差》1巻，《九章重差図》1巻を撰した。《重差》は唐代に《海島算経》と称された。《九章算術》の注には多くの創見が見られるが，割円術によって円周率を求める算法には極限の考えが用いられ，円に内接する正192角形の面積によってπ＝3.14という近似値を決定し，正3072角形の面積によって3.1416を求めた。…

※「《海島算経》」について言及している用語解説の一部を掲載しています。

出典｜株式会社平凡社世界大百科事典第２版について | 情報

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