『算法諸約術』（斎藤元章、1805年）と由精堂算学塾 (数学史の研究)

Abstract

Sukesada Hirose 広瀬祐貞(?-1882?), 10^{th} principal of Seki-ryu 関流 school, was mathematician from the end of Edo period to the Meiji period, and founded the wasan school of Yuseido 由精堂 at Shinshiro 新城, Mikawa 三河(now Aichi 愛知 prefecture). His school was one of the Seki-ryu school, however, its curriculum was quite unique with other Seki-ryu schools. The author thinks the mathematical works of Murahide Araki 荒木村英(1640-1718), the 2^{nd} principal of Seki-ryu school, was influenced on Hirose's school. It was said that Hirose wrote the Sanpo Shoyaku-jutsu 算法諸約術 in 1805 although there were a few historical materials about Hirose. The Heizaemon Kato's 加藤平左ヱ門(1891-1976)Wasan correction at Taihoku Imperial University 台北帝国大学(now National Taiwan University 国立台湾大学) was discovered in 2004, and the author discovered 66 mathematical arts concerned with Hirose. Then his school was founded at Shishiro, Aichi prefecture, and he was died about 1882. Therefore the author conclude that Hirose did not write the Sanpo Shoyaku-jutsu, and it was written by Motoaki Saito 斎藤元章(1765-1812), 6^{th} principal of Seki-ryu school, and the Sanpo Shoyakujutsu was infuluenced by the Saijo-ryu 最上流 school of Yasuaki Aida 会田安明 (1747-1817).