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archimedes_constant_π [2013/09/12 13:34] nikolaj |
archimedes_constant_π [2013/09/12 13:36] nikolaj |
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* $\pi \approx \frac{22}{7}$ | * $\pi \approx \frac{22}{7}$ | ||
- | === Theorems === | ||
- | ^ $\frac{\pi}{4}=\int_{0}^{1}\frac{1}{1+x^2}\mathrm d x=\sum_{k=0}^\infty \frac{(-1)^k}{2k+1}$ ^ | ||
=== Reference === | === Reference === | ||
- | Wikipedia: [[http://en.wikipedia.org/wiki/Pi|Pi]] | + | Wikipedia: [[http://en.wikipedia.org/wiki/Pi|Pi]],[[http://en.wikipedia.org/wiki/List_of_formulae_involving_%CF%80|List of formulae involving π]] |
==== Parents ==== | ==== Parents ==== | ||
=== Requirements === | === Requirements === | ||
[[Ball volume]], [[Euclidean space]] | [[Ball volume]], [[Euclidean space]] |