计算抛物线及椭圆弧长的近似公式  

APPROXIMATE FORMULA FOR CALCULATING PARABOLA AND THE LENGTH OF ELLIPSE ARC

作　　者：熊玉学 刘庆照[1] 

机构地区：[1]东北林业大学

出　　处：《东北林业大学学报》1991年第2期112-115,共4页Journal of Northeast Forestry University

摘　　要：关于抛物线和椭圆弧长的计算公式在数学手册和有关用表中早就可见。但实际上用起来很麻烦,其精确值也较难达到。然而在实际上遇到的问题常常并不需要很高的精度。本文从既能简化计算又能达到一定精度的设想,通过找经验公式的方法给出了计算机抛物线及椭圆弧长的近似公式,并给出了常用区间上计算抛物线和椭圆弧长的一次式和二次式。The calculating formula of parabola and the length of ellipse arc can be found in the old handbook of mathematics, but it is inconvenient to be used in practice, especially, the accurate value is too difficult to get to. Actually, the accuracy in practical problem is not needed too high. So, the approximate calculating formula of parabola and the length of ellipse arc is developed by the method of finding experience formula from point of view of simplifying the calculating process and getting certain accuracy. Meanwhile, the linear and quadratic equations for calculating the parabola and the length of ellipse are pre. sented in the range of common use.

关 键 词：抛物线 椭圆 弧长 近似公式 

分 类 号：O175.2[理学—数学]