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在组合机床设计中常遇到一些具有空间角度孔和平面的零件,需要进行一些角度计算,如直线与直线的夹角,直线与平面的夹角,平面与平面的夹角。这些角度虽可用六面体法及解析法求出,但对于复杂一点的空间角度用六面体法很难求出,解析法虽然可以求出,但是不直观。用球面三角法可以克服上述两种方法的缺点(当然需要设计人员有球面三角学的知识)。下面用几个例子简单地介绍一下球面三角法。
In the design of combined machine tools, some parts with spatially-oriented holes and planes are often encountered. Some angles must be calculated, such as the angle between straight line and straight line, the angle between straight line and plane, and the angle between plane and plane. Although these angles can be calculated by the hexahedral method and the analytic method, it is difficult to find the complicated hexagonal method for the spatial point of view. Although the analytic method can be obtained, it is not intuitive. Spherical trigonometry can overcome the shortcomings of the above two methods (of course, designers need spherical trigonometry knowledge). Here are a few examples of a brief introduction to the spherical trigonometry.