【摘要】 运用历史文献分析和逻辑分析相结合的研究方法,对中国古代历法中内插法的产生、发展进行了系统的疏解和研究.结果表明,内插法肇始于《周髀算经》中关于晷长的计算,后经东汉、隋、唐、元等朝代天文学家在日、月、五星的运行测量和计算中逐步得到发展.元代郭守敬的平立定三差法(招差法)标志着中国古代历法计算从二次到高次插值方法的演变.通过中外比较,有些成果比西方国家早400～1000年.更多还原

【Abstract】 The emergence and development of interpolation method in the study of calendar during ancient China are investigated systematically by analysis of historical documents and lgoic. It is shown that the interpolation method is put forward in calculation of the length of shadow cast by the sun in Zhoubi Suanjing first, and from then on, the method is developed progressively in calculation and measurement of the planet movement. Especially in Yuan dynasty, Guo Shoujings Zhaochafa symbolized the evolvement of the calculation of calendar in ancient China from the interpolation method of quadric to that of higher. It is pointed that some achievements made by Chinese astronomer in this area are 400～1000 years earlier than that of the western countries.更多还原