The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series
ABSTRACT For the perimeter P(a, b) of an ellipse with the semi-axes a ≥ b ≥ 0 a sequence Q n (a, b) is constructed such that the relative error of the approximation P(a, b) ≈ Q n (a, b) satisfies the following inequalities true for
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| Autor principal: | |
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| Lenguaje: | English |
| Publicado: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2019
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200051 |
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| Sumario: | ABSTRACT For the perimeter P(a, b) of an ellipse with the semi-axes a ≥ b ≥ 0 a sequence Q n (a, b) is constructed such that the relative error of the approximation P(a, b) ≈ Q n (a, b) satisfies the following inequalities true for |
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