村井中漸の「算学系統・弧背密術」について : 特に関孝和に関する記述を中心に

概要

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In the Ogura collection of Waseda University's library there are many unresearched mathematical books. This time we happened to find a mathematical note from the collection, Sangaku Keito and Kohai Mitsu-Jutsu, which was compiled by Chuzan Murai (1708-1797), in 1771. The first section of this note, Sangaku Keito describes the biography of Japanese mathematicians and their followers' tree. We discovered a few little known facts concerning Takakaku Seki (1642?-1708) and other mathematicians in Murai's descriptions which we had not known before in the history of Japanese mathematics. Although, his descriptions may not be completely reliable, we think that Murai's research about T. Seki or other mathematicians is useful for the study of the history of Japanese mathematics. So we introduced his descriptions, in particular those related to T. Seki, in this paper as mentioned below. 1. C. Murai said that T. Seki presented to the fifth Shogun Tsunayoshi Tokugawa (1646-1709) a self-written mathematical manuscript: Methodical Calculation of the Length of Arc. 2. T. Seki seemed to have temporarily lived at Mito or Suiko in Kofu prefecture during the time he served the feudal lord, Tsunatoyo Tokugawa (1662-1712).
1987-04-07