The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series
For the perimeter $P(a,b)$ of an ellipse with the semi-axes $a\ge b\ge 0$ a sequence $Q_n(a,b)$ is constructed such that the relative error of the approximation $ P(a,b)\approx Q_n(a,b)$ satisfies the following inequalities \begin{align*} 0\le -\frac{P(a,b)-Q_n(a,b)}{P(a,b)}&\le \frac{(1-q^...
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2019-08-01
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| Series: | Cubo |
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| Online Access: | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2158/1889 |