A family of formulae for pi (Q2837899)
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scientific article; zbMATH DE number 6184892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A family of formulae for pi |
scientific article; zbMATH DE number 6184892 |
Statements
8 July 2013
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Clairaut's equation
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circle method
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constructions with straightedge and compass
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Pythagorean triples
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asymptotic formulae
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Pi
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0.8766746
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0.86865866
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A family of formulae for pi (English)
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A simple circle method for constructing rational points and tangents with straightedge and compass is introduced; taking the limit, this leads to a family of \(N\) formulae for \(\pi\). The whole process is based on the derivation of a Pythagorean triple and the construction of the circle by irregular inscribed polygons with rational area.
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