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在重积分和曲面积分的计算中,往往需要确定一个立体或者曲面在坐标面上的投影,这时需要利用投影柱面和投影曲线。当立体由某两个曲面围成(或曲面为某曲面被另一曲面所截得),通常会通过两曲面的交线来确定所求投影区域。
In the calculation of integral and surface integrals, it is often necessary to determine the projection of a solid or surface on the coordinate plane. In this case, the projection cylinder and the projection curve need to be used. When a solid is surrounded by two surfaces (or the surface is a surface being intercepted by another surface), the projected area is usually determined by the intersection of the two surfaces.