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直线与缓和曲线平行线交点坐标的严密解算及应用
引用本文:李全信. 直线与缓和曲线平行线交点坐标的严密解算及应用[J]. 勘察科学技术, 1999, 0(2): 53-57,64
作者姓名:李全信
作者单位:郑州市规划勘测设计研究院,郑州市,450052
摘    要:基于缓和曲线平行线弧长公式及其性质,给出了缓和曲线平行线以其自身弧长为变量的参数方程。提出了计算直线与缓和曲线平行线交点坐标的严密方法。通过实例计算,证明该方法具有解算原理简单、便于计算机编程的特点。

关 键 词:缓和曲线  平行线  参数方程  交点坐标  严密解算

RIGOROUS SOLUTION OF THE INTERSECTION POINT COORDINATES OF THE STRAIGHT LINE AND THE PARALLEL TO THE EASEMENT CURVE AND ITS APPLICATION
Li Quanxin. RIGOROUS SOLUTION OF THE INTERSECTION POINT COORDINATES OF THE STRAIGHT LINE AND THE PARALLEL TO THE EASEMENT CURVE AND ITS APPLICATION[J]. Site Investigation Science and Technology, 1999, 0(2): 53-57,64
Authors:Li Quanxin
Abstract:Based on the arc length formulae of the parallel to the easement curve and its property, this paper gives the parameter equations of the parallel to the easement curve taking the arc length itself as variable. It presents the rigorous method to calculate the intersecting point coordinate of the straight line with the parallel to the easement curve. By case history calculation, it proves that this method is characterized by its simplicity of solution principle and covenience in computer programming.
Keywords:easement curve  parallel  parametric equation  intersecting point coordinate  rigorous solution
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