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在铁路站场设计座标计算中,已知A、B两点的座标及方向,求交点C的座标,以往我们一直沿用苏联B.H.弗多维契柯所推荐的公式,即先计算A、B两点的座标差L_x、L_y,再计算交点C的座标增量值⊿_x、⊿_y,最后计算x、y。交点的座标增量值计算公式共6种,根据24种不同的图型分别选用公式(见《铁路工程设计技术手册·站场及枢纽》第486页和第487页)。如图1,已知A点座标x_1、y_1;B点座标x_2、y_2及两线与X轴的夹角α、β(锐角),
In the calculation of railway yard design coordinates, we know the coordinates and directions of A and B, and find the coordinates of point C. In the past, we have been using the formula recommended by the Soviet Union BH Fudovico, that is to calculate A, The coordinate difference between two points, L_x and L_y, is calculated, then the coordinate increment values ⊿_x and ⊿_y of the intersection point C are calculated, and x and y are finally calculated. There are six formulas for calculating the increment of coordinates at the intersection, and formulas are selected according to 24 different patterns (see “Railway Engineering Design Technology Manual·Stations and Hubs” on pages 486 and 487). As shown in Fig. 1, the coordinates of A, x_1, y_1, the coordinates of B, x_2, y_2, and the angles α, β (acute angle) between the two lines and the X axis are known.