A family of formulae for pi

Resultado de la investigación: Contribución a una revistaArtículo

Resumen

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 π. 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. © 2012 Pushpa Publishing House.
Idioma originalInglés estadounidense
Páginas (desde-hasta)157-181
Número de páginas25
PublicaciónFar East Journal of Mathematical Sciences
EstadoPublicada - 1 may 2012

Huella dactilar

Straightedge
Formula for pi
Pythagorean triple
Circle Method
Rational Points
Tangent line
Polygon
Irregular
Circle
Family

Citar esto

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title = "A family of formulae for pi",
abstract = "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 π. 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. {\circledC} 2012 Pushpa Publishing House.",
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A family of formulae for pi. / Caro-Lopera, Francisco J.

En: Far East Journal of Mathematical Sciences, 01.05.2012, p. 157-181.

Resultado de la investigación: Contribución a una revistaArtículo

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AB - 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 π. 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. © 2012 Pushpa Publishing House.

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JO - Far East Journal of Mathematical Sciences

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