A family of formulae for pi

Francisco J. Caro-Lopera

A family of formulae for pi

Grupo de Investigación en Materiales Nanoestructurados y Biomodelación

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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 original	Inglés estadounidense
Páginas (desde-hasta)	157-181
Número de páginas	25
Publicación	Far East Journal of Mathematical Sciences
Volumen	64
N.º	2
Estado	Publicada - 1 may. 2012

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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. {\textcopyright} 2012 Pushpa Publishing House.",

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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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A family of formulae for pi

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