A family of formulae for pi

Francisco J. Caro-Lopera

A family of formulae for pi

Grupo de Investigación en Materiales Nanoestructurados y Biomodelación

Resultado de la investigación: Contribución a una revista › Artículo › revisión exhaustiva

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

Acceder al documento

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84862632285&origin=inward

Citar esto

@article{229bbf9ae36d457986edce730d403371,

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.",

author = "Caro-Lopera, {Francisco J.}",

year = "2012",

month = may,

day = "1",

language = "American English",

volume = "64",

pages = "157--181",

journal = "Far East Journal of Mathematical Sciences",

issn = "0972-0871",

publisher = "University of Allahabad",

number = "2",

}

TY - JOUR

T1 - A family of formulae for pi

AU - Caro-Lopera, Francisco J.

PY - 2012/5/1

Y1 - 2012/5/1

N2 - 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.

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.

M3 - Article

VL - 64

SP - 157

EP - 181

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 2

ER -

A family of formulae for pi

Resumen

Acceder al documento

Huella

Citar esto