| 计算抛物线及椭圆弧长的近似公式 |
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| 引用本文： | 熊玉华,刘庆照.计算抛物线及椭圆弧长的近似公式[J].东北林业大学学报,1991,19(2):112-115. |
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| 作者姓名： | 熊玉华 刘庆照 |
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| 作者单位： | 东北林业大学
(熊玉学)，东北林业大学(刘庆照) |
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| 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。
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| 关 键 词： | 抛物线 椭圆 弧长 近似公式 |
APPROXIMATE FORMULA FOR CALCULATING PARABOLA AND THE LENGTH OF ELLIPSE ARC |
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| Xiong Yuxue Liu Qingzhao.APPROXIMATE FORMULA FOR CALCULATING PARABOLA AND THE LENGTH OF ELLIPSE ARC[J].Journal of Northeast Forestry University,1991,19(2):112-115. |
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| Authors: | Xiong Yuxue Liu Qingzhao |
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| Institution: | Northeast Forestry University |
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| Abstract: | 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. |
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| Keywords: | Parabola Ellips Length of arc Approximate formula |
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