The Author and the Date Written in a Variant Text of the Takuma-ryu Enri vol. 2

Abstract

The Takuma School is one of the schools of Japanese traditional mathematics in the Kansai district. Toshikiyo KAMATA (1678-1747) is the head of the third generation of the Takuma School. The Takuma-ryu Enri preserved in the library of the University of Tokyo consists of five volumes and the first two volumes have been thought to be KAMATA'S works. The Takuma-ryu Enri vol. 1 by Toshikiyo KAMATA is especially famous for the calculation of pi. The Takuma-ryu Enri Hijutsu is in the same library and one theory holds that its author is Toshikiyo KAMATA too. The Kohai-mitsujutsu Kigen preserved in the Ogura collection of Waseda University's library is composed of two volumes. The first volume is a variant text of the Takuma-ryu Enri Hijutsu and the second is an alternate version of the Takuma-ryu Enri vol. 2. At the end of the Kohai-mitsujutsu Kigen vol. 2 the description "Yoshikazu MATSUOKA respectfully has written this from 1792 to 1804 " can be found. Yoshikazu MATSUOKA (1737-?) is the head of the fifth generation of the Takuma School. By this fact and other reasons it is probable that the author of the Takuma-ryu Enri vol. 2 and the Takuma-ryu Enri Hijutsu is not Toshikiyo KAMATA but Yoshikazu MATSUOKA.