徐有壬优化八线互求的方法研究  

Research on Xu Youren's Methods for Mutual-deduction of Series with Trigonometrical Functions

作　　者：王海林[1] 苏建新[1] 

机构地区：[1]空军雷达学院一系,湖北武汉430019

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2010年第6期635-639,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

摘　　要：徐有壬的八线互求方法是清代数学的重要内容之一.详细阐述了徐有壬正弦求正矢级数的推导方法及其比例商除法、还原术和借径术,探讨了其八线互求方法的特点.Xu Youren＇s method for mutual-deduction of series with trigonometrical functions is one of the important contents of Chinese mathematics in the 19th century.This paper elucidates his methods for expanding one trigonometrical function into a series of the other one,including his method such as geometrical deduction,proportional division,inversive method and substitution method,probes into the characteristics of his method of mutual-deduction of series with triangle functions.

关 键 词：徐有壬 八线互求法 正弦 正矢 比例商除法 还原术 借径术 

分 类 号：O11[理学—数学]