从关孝和的累裁招差法看《授时历》平立定三差法之原

On the Structural Principle of the 3-power Interpolation in Shoushi Calender in View of Seki's leicai zhaocha fa

本章介绍了和算累裁招差法的基本方法 ,考察了和算招差法与中算招差法之间的联系 ,说明了和算招差法的概念和思想方法的中算来源。结合对关孝和累裁招差法造术原理的分析 ,讨论了《授时历》三次插值法的构建原理问题 。

The internal relation between the zhaocha fa (interpolation),of shosa ho in Japanese,in Wasan and in Chinese mathematics is studied and they are compared to each other.This paper shows the Chinese source of the concepts and ideas of zhaocha fa in Wasan.It analyses the principle that Japanese mathematicians applied to derive their leicai zhaocha fa and apply it to show how the 3 power interpolation that first appeared in Shoushi Calendar was constructed.A new restoration scheme,therefore,is proposed.