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在生产斗争和科学实验中经常迂到椭圆周长的计算问题。例如在数控机床上加工椭圆形截口的零件,就需要计算截口的长度。本文向大家介绍计算椭圆周长的几种方法,即四圆心法、折线法,在折线法的基础上导出用积分法求椭圆周长的公式,并将这个公式展成级数形式。此外,考虑到实际的需要,还推导了有一定精确度的近似公式。
In the production struggle and scientific experiments often round the calculation of elliptical circumference. For example, in the CNC machine tool oval cutting parts, you need to calculate the length of the cut. In this paper, we introduce several methods for calculating the circumference of an ellipse, that is, the four-circle center method and the broken line method. On the basis of the broken line method, we derive the formula for calculating the ellipse circumference by using the integral method, and extend the formula into a series form. In addition, taking into account the actual needs, but also derived an approximate formula with a certain accuracy.