| 《皇极历》中等间距二次插值方法术文释义及其物理意义 |
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| 引用本文： | 刘钝. 《皇极历》中等间距二次插值方法术文释义及其物理意义[J]. 自然科学史研究, 1994, 13(4): 305-315 |
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| 作者姓名： | 刘钝 |
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| 作者单位： | 中国科学院自然科学史研究所 |
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| 摘 要： | 通过对《皇极历》涉及等间距二次插值方法的几段术文的分析，特别是对其中“气末率”、“初率”、“总差”、“别差”等关键术语的疏解，该文揭示了刘焯处理天体匀变速运动的原始思路，指出他的插值公式实．际上就是运动学中匀变速运动的路程公式。又通过实例说明刘焯的方法实由公式算法和差分表方法两部分组成、二者相辅相成，演成中算家招差术的两大主题．
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| 关 键 词： | 《皇极历》，刘焯，插值法，匀变速运动，气末率，初率，总差，别差 |
AN INTERPRETATION OF TEXT CONCERNING THE INTERPOLATION METHOD IN THE HUANGJI CALENDAR AND ITS PHYSICAL SIGNIFICANCE |
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| Liu Dun. AN INTERPRETATION OF TEXT CONCERNING THE INTERPOLATION METHOD IN THE HUANGJI CALENDAR AND ITS PHYSICAL SIGNIFICANCE[J]. Studies In The History of Natural Sciences, 1994, 13(4): 305-315 |
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| Authors: | Liu Dun |
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| Abstract: | Making an analysis of the text concerning the quadratic interpolation method with equidifferences in the Huangji Calendar (600 AD); this paper reveals the original thinking of Liu Zhuo by which he dealt with the uniform accelerated motion of celetial bodies. It also points out that Liu's measure was composed of formulas and a difference table; which were jointly developed into the teo major topics of the interpolation studies made by ancient Chinese mathematicians. |
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| Keywords: | Huangji Calendar Liu Zhuo interpolation method uniform accelerated motion ratio |
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