薛凤祚球面三角形解法探析  

A study on Xue Feng-zuo′s method to solve the spherical triangles

作　　者：董杰[1] 

机构地区：[1]内蒙古师范大学科学技术史研究院,内蒙古呼和浩特010022

出　　处：《西北大学学报（自然科学版）》2011年第4期737-741,共5页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(10863001);国家自然科学基金资助项目(10561006)

摘　　要：目的探寻薛凤祚(1599—1680)《三角算法》中的球面三角学解法。方法文献考证与对比分析。结果薛凤祚给出的球面直角三角形求解判别法,完全正确,他的一般球面三角形求解公式,计算更为便捷。结论《三角算法》中给出完备、便捷的球面三角学解法,但由于数学原理的缺失而在清初影响不大。Aim To discuss the method to solve the spherical triangles in the Sanjiao Suanfa （ the methods of Solving the triangle） proposed by Xue Feng-zuo（1599-1680）. Methods Literature research and concept analyzing. Results Xue Feng-zuo＇s criterions for solving the spherical triangle are all correct. The formulas used by him to solve the general spherical triangle are easy to calculate. Conclusion The methods to solve the spherical triangles in the Sanjiao Suanfa are complete and convenient, however, due to the lack of mathematical principles, they had little effect in the early Qing Dynasty.

关 键 词：薛凤祚(1599-1680) 《三角算法》 球面三角形解法 判别法 

分 类 号：O112[理学—数学]