"The Scroll of Enrikenkon"

Japanese: 《円理乾坤之巻》 - えんりけんこんのまき
"The Scroll of Enrikenkon"

…Takebe wrote about this method in a book called Enri Tsuzurijutsu or Enri Kōhakujutsu. The infinite series expansion of (arcsin x ) 2 that Takebe showed was rearranged and compiled in Enri Kenkon no Maki (author unknown). From then on, infinite series expansion came to be called Enri or Tsuzurijutsu. …

From "Kenkun no Maki"

…It was written around 1750, but the author is unknown. It is also called “Enri Kenkon no Maki.” The development of infinite series in the Edo period began with Takebe Katahiro. …

From Yoshisuke Matsunaga

...It also explains power series of sin x , cos x , cosec x , cot x , and arcsin x . The Enri Kenkon no Maki, which is said to be the best book of the Seki school, is said to have been compiled by Matsunaga. [Kazuo Shimodaira]...

*Some of the terminology explanations that refer to "The Scroll of Enri Kenkun" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:

…建部はこの方法を《円理綴術》あるいは《円理弧背術》という書に記した。建部が示した(arcsinx)2の無限級数展開は整理しなおされて,《円理乾坤之巻》(著者不明)にまとめられた。これ以後,無限級数展開を円理,あるいは綴術というようになった。…

【乾坤之巻】より

…1750年ごろの著作だが著者は不明。《円理乾坤之巻》ともいう。江戸時代の無限級数展開は建部賢弘から始まる。…

【松永良弼】より

…またsinx,cosx,cosecx,cotx,arcsinxのべき級数も説明されている。関流の最高の書と称される《円理乾坤之巻》は松永によりまとめられたといわれる。【下平 和夫】。…

※「《円理乾坤之巻》」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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