A family of formulae for pi

Francisco J. Caro-Lopera

Resultado de la investigación: Contribución a una revista › Artículo

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

Caro-Lopera, Francisco J. / A family of formulae for pi. En: Far East Journal of Mathematical Sciences. 2012 ; pp. 157-181.
@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. {\circledC} 2012 Pushpa Publishing House.",
author = "Caro-Lopera, {Francisco J.}",
year = "2012",
month = "5",
day = "1",
language = "American English",
pages = "157--181",
journal = "Far East Journal of Mathematical Sciences",
issn = "0972-0871",
publisher = "University of Allahabad",

}

Caro-Lopera, FJ 2012, 'A family of formulae for pi', Far East Journal of Mathematical Sciences, pp. 157-181.

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 revista › Artículo

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

SP - 157

EP - 181

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

ER -

Caro-Lopera FJ. A family of formulae for pi. Far East Journal of Mathematical Sciences. 2012 may 1;157-181.

Acceso al documento