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平面图形的面积已有很多近似求法,但都需要知道边界曲线的方程;曲线可由试验或实践获得,由曲线获得方程,再由方程计算出各分点的函数值,计算量是很大的;当由于工作需要而不要知道边界曲线的方程时,却要度量n次线段的长度。这一切都无疑将增大误差。本文介绍的新方法——线段表示法弥补了这些缺陷,它具有适用于任何图形,方法简单易行,精度较高,无须计算等优点,从而有一定的实用价值。
There are many approximate solutions to the area of the plane graph, but all need to know the equation of the boundary curve. The curve can be obtained experimentally or practically. The equation is obtained from the curve and then the function value of each point is calculated by the equation. When you do not need to know the equation of the boundary curve because of your work needs, measure the length of the line segments n times. All this will undoubtedly increase the error. The new method introduced in this paper, the line representation, makes up for these shortcomings. It has some practical values that are suitable for any graph, the method is simple and easy, the precision is high, and no calculation is needed.