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在站場設計中,經常遇到两极距相交,需要計算其长度。如图1,两极点O_1,和O_2,的纵横距离L_y,和L_x为已知数;两极距O_1E与O_2E分別与X_1和X_2,軸所成之水平角度β、α也为已知数,求两极距O_1E和O_2E之长度及交点E的坐标。 y_2 O 目前对这种計算,一般多按《站場人員設计手冊》推荐的坐标法进行。該手冊归納24种图型,七种公式表示之。其計算步驟为; 第一步,計算两极距O_1月和O_2E之交点E之坐标△x和△y; 第二步,計算两极距O_1E和O_2E之长度。因O_1E和O_2E为两个直綫方程式,解这联立方程
In the station design, it is often encountered that the two poles intersect, and the length needs to be calculated. As shown in Fig.1, the vertical and horizontal distances L_y and L_x of the two poles O_1 and O_2 are known numbers; the two polar distances O_1E and O_2E are respectively X_1 and X_2, and the horizontal angles β and α formed by the axes are also known numbers. The length of the two poles, O_1E and O_2E, and the coordinates of the intersection E. y_2O At present, this type of calculation is generally performed in accordance with the coordinate method recommended in the “Station Design Manual”. The manual summarizes 24 patterns, which are represented by seven formulas. The calculation steps are: In the first step, the coordinates △x and Δy of the intersection point of the two poles from O_l and O_2E are calculated. In the second step, the lengths of the two poles from O_1E and O_2E are calculated. Since O_1E and O_2E are two straight line equations, this simultaneous equation is solved