紅毛流として伝来した測量術について(II) : 三角関数表の伝来と二つの経路 (数学史の研究)

Abstract

It is dominant theory that the table of trigonometric functions was first introduced into Japan in chóngzhēn-lìshū (『崇禎暦書』) on 1727. We have found a document indicating that the Dutch taught trigonometry to the Administration of the Tokugawa Shogunate in 1650. In addition, the Dutch let the Japanese copy the table of trigonometric functions and told them its meaning. Regrettably, they did not seem to understand the lecture sufficiently. In this paper, we have two purposes as follows. One is to identify the table which was used then. The second is to discuss the relationship between the 1650's table and 1727 's table. Then, we will conclude the fact that Pitiscus was the author of both tables. At last, we would like to point out that argument above is based on the 17^{mathrm{t}mathrm{h}} century data found on Google books and several University' s libraries.