| 从关孝和的累裁招差法看《授时历》平立定三差法之原 |
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| 引用本文： | 冯立升. 从关孝和的累裁招差法看《授时历》平立定三差法之原[J]. 自然科学史研究, 2001, 20(2): 132-142 |
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| 作者姓名： | 冯立升 |
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| 作者单位： | 内蒙古师范大学科学史研究所，呼和浩特 010022 |
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| 摘 要： | 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，提出了新的复原方案。
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| 关 键 词： | 和算 中算 招差法 《授时历》 关孝和 三次插值法 数学史 |
| 文章编号： | 1000-0224(2001)02-0132-11 |
| 修稿时间： | 1999-08-12 |
On the StructuralPrinciple of the 3-power Interpolation in Shoushi Calender in View of Seki's leicaizhaocha fa |
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| FENG Lisheng. On the StructuralPrinciple of the 3-power Interpolation in Shoushi Calender in View of Seki's leicaizhaocha fa[J]. Studies In The History of Natural Sciences, 2001, 20(2): 132-142 |
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| Authors: | FENG Lisheng |
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| Abstract: | 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. |
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| Keywords: | Wasan traditional Chinese mathematics zhaocha fa Shoushi Calendar Seki Takakazu interpolation |
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