弦切角定理在圆弧曲线定位中的应用分析

Analysis on Application of Alternate Segment Theorem in Circular Curve Positioning

平面图形比较复杂的工程,它的定位放线工作就非常困难,难以按设计图纸形状和尺寸直接进行放线测设,通常要运用一定的数学原理,进行一定的测设数据计算,将设计图纸上的尺寸变换成放线测量所需要的数据,利用测量仪器配合丈量式工具,采取一定方法测设出相应放线点,将各点依次圆滑连结起来,这样就把圆弧曲线定位放样在实地上了。该文结合建筑施工实例,介绍了弦切角定理怎样运用于圆弧曲线的定位和放样,通过实践表明这种方法简易、方便、准确。

It is very difficult for the location and layout of the project with complicated plane graphics, because it is hard to directly carry out according to the shapes and sizes of the original design maps. Usually, some mathematical principles are required for relevant data calculation. The sizes on the design map have to be converted to the data required for the layout measurement, with measuring instruments and tools, the corresponding layout points are measured, linking these points to a circular curve, thus the curve is presented on the ground. This paper, combined with practical construction cases, in- troduces how alternate segment theorem is applied to the location and layout of circular curve and proves it simple, convenient and accurate with prac- tices.