摘要
研究了《授时历》中的招差法和弧矢割圆术的构建原理。结果表明 ,前者即现在的三次内插法 ,古代是从一些实测数据出发 ,利用代数方法构造一个确定天体在每一时段所处位置的算法 ,并用表格和公式的形式表示出来 ;后者是中国历法计算中首次使用的球面几何方法 ,系应用古代的勾股算术和沈括的“会圆术”并结合高次方程来解决天文测量问题。通过中外比较认为 ,牛顿内插法晚于中国招差法近 40 0年 。
The structural principle of the Zhaocha Fa and the Hushigeyuan Shu in the Shoushi calender is studied. The Zhaocha Fa was in ancient times, a method of calculating position of a celesitial body in every time zone and was constructed algebraically according to some of the measured data and the position was expressed interms of table and formula. The conclusion shows that Zhaocha Fa is the 3 power interpolation of moder mathematics and Hushigeyuan Shu is the spherical geometry of modern algebra. It is pointed out that Newton′s interpolation was near 400 years later than Chinese Zhaocha Fa , and the first use of Hushigeyuan Shu indicated the appearance of spherical trigonometry in history Chinese mathemetics.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
北大核心
2001年第5期453-456,共4页
Journal of Northwest University（Natural Science Edition）
关键词
中算史
天文学史
授时历
招差法
弧矢割圆术
内插法
球面几何法
天文历法计算
history of Chinese mathematics
history of astronomy
Shoushi calendar
Zhaocha Fa
Hushigeyuan Shu
interpolation method
spherical geometry
