Furthermore, in his 1679 "Sanpo meikai" (Clarifying Calculation Methods), Yoshizane TANAKA arrived at different roots than Seki by using a form of Tensan jutsu (Bosho-ho) which he had invented himself.
さらに、田中由真は『算法明解』（1679）で関とは別の回答を関とは独立に発明した点竄術（傍書法）を用いて与えた。