When the west trigonometry was brought into China firstly, the Focus was on the application and calculation, but lacked of proofs. In the early Qing Dynasty, the Chinese mathematicians accepted and learned it, at the same tine, they complemented the trigonometric formulas which lacked of proofs one by one. They simplified the formulas and made them more applicable step by step. Also, the Chinese mathematicians tried their best to reconstruction of the western trigonometric knowledge by using their own familiar terms and methodology. Based on the study of the Chinese mathematicians' researches on the trigonometric knowledge, this paper analyses that the Chinese mathematicians for the purpose of emergence and explored the inherent principles of mathematics as their responsibility.%西方三角学知识初入中国,偏重应用和计算而缺乏论证,清初数学家接受、学习的同时,在补充证明、精简公式、提高精度以及重构西方三角学上取得了创新成果,他们以会通中西为目的,以探寻数学内在原理、融合中西数学为己任,彰显出一股求真务实的科学精神。
展开▼