试论《弧三角举要》中球面三角形解法

A Study on the Method to Solve the Spherical Triangles in Husanjiao Juyao

采用文献解读、比较研究法,对《弧三角举要》中的球面三角形解法进行分析,认为该书以相似勾股对应边成比例给出球面直角三角形解法中的大部分证明,更为清晰明了,只是垂弧法与次形法存在诸多限定,梅文鼎更倾向于使用垂弧法解球面三角形.

There were imperfect methods to solve the right angle spherical triangles in the Celiang Quanyi.On the basis of a similar right triangle corresponding edge in proportion,Mei Wending given some clearer methods to solve the right angle spherical triangles in Husanjiao Juyao.Because of no discrimination method,there were many restricted conditions in his works.Through the analysis it can be see Mei Wen-ding more inclined to adopt Chuihufa to solve the spherical triangles.