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秦陵铜镞主面数学模型的建立及几何形状分析
杨 青1, 杨成海1
西北农业大学 农工系
摘要:
用逐步回归分析的方法,建立了秦陵三棱铜镞任一主面的数学模型,分析了铜镞主面的几何形状;并利用坐标的旋转变换,求得另两个主面的数学模型。在此基础上导出了三条主刃的数学模型,并对铜镞主面沿横向的凸性作了定量分析。
关键词:  兵器(考古),秦代,回归分析,数学模型/镞,几何形状
DOI:
分类号:
基金项目:国家自然科学基金资助项目
Mathematical Models and Geometric Forms of theMain Surfaces of the Bronze Arrow fromQinshihuang''''s Army Vaults
Yang Qing Yang Chenghai
Abstract:
The mathematical model of one of the main surfaces of a three-dege bronze arrow from Qinshihuang's Army Vaults is first established in this paper by using stepwise regression analysis. Then, the geometric shape of the main surface of the bronze arrow is analysed,and the mathematical models of the other two main surfaces are obtained by using rotation transformation of coordinates. Based on this, the mathematical models of the three main edges of the bronze arrow are derived, and the convex characteristics of the main surface of the bronze arrow's is quantitatively analysed.
Key words:  weapons,Chin Dynasty,regression analysis,mathematical models/ bronze arrow, geometric forms