清初平面三角形解法的精简与完善

发布时间：2018-04-29 21:46

本文选题：平面三角学 + 余弦定理　；参考：《内蒙古师范大学学报(自然科学汉文版)》2017年02期

【摘要】：明末《大测》和《测量全义》将西方平面三角形解法介绍到中国,但传入的方法不利于中国历算学家理解和应用,而清初平面三角形解法则呈现出更简单、更直接的特点.至《数理精蕴》正式提出平面三角形余弦定理,标志着明末传入的平面三角形边角互求问题经过中算家的会通,均可全部借助三角学公式求解.这一演变历程体现出中算家对计算精度的追求.
[Abstract]:In the late Ming Dynasty and the whole meaning of surveying, the Western plane triangle solution was introduced to China, but the introduced method was not conducive to the understanding and application of the Chinese almanac, while the plane triangle solution in the early Qing Dynasty showed a simpler and more direct characteristic. The cosine theorem of plane triangles is formally put forward by "mathematical essence", which indicates that the problem of seeking the edges and angles of plane triangles introduced in the late Ming Dynasty can be solved by means of trigonometric formulas. This evolution reflects the pursuit of the accuracy of the calculation.
【作者单位】：内蒙古师范大学科学技术史研究院;
【基金】：国家自然科学基金资助项目(11261036) 霍英东基金会青年教师基金项目(151098) 内蒙古自然科学基金资助项目(2015MS0112) 内蒙古自治区高等学校“青年英才支持计划”(NJYT-13-B08)
【分类号】：O18

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