A family of formulae for pi

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 inscrib...

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Autores:
Tipo de recurso:
Fecha de publicación:
2012
Institución:
Universidad de Medellín
Repositorio:
Repositorio UDEM
Idioma:
eng
OAI Identifier:
oai:repository.udem.edu.co:11407/1361
Acceso en línea:
http://hdl.handle.net/11407/1361
Palabra clave:
Asymptotic formulae
Circle method
Clairaut's equation
Constructions with straightedge and compass
Pi
Pythagorean triples
Rights
restrictedAccess
License
http://purl.org/coar/access_right/c_16ec
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oai_identifier_str oai:repository.udem.edu.co:11407/1361
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network_name_str Repositorio UDEM
repository_id_str
spelling 2015-10-09T13:17:51Z2015-10-09T13:17:51Z20129720871http://hdl.handle.net/11407/1361A 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.enghttp://www.scopus.com/inward/record.url?eid=2-s2.0-84862632285&partnerID=40&md5=411b23898b22de186910c69a173911faFar East Journal of Mathematical Sciences, mayo de 2012, volume 64, issue 2, pp 157-181ScopusA family of formulae for piArticleinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/access_right/c_16ecDepartment of Basic Sciences, University of Medellin, Carrera 87 No. 30 - 65, Medellin, ColombiaCaro-Lopera F.J.Asymptotic formulaeCircle methodClairaut's equationConstructions with straightedge and compassPiPythagorean triples11407/1361oai:repository.udem.edu.co:11407/13612020-05-27 18:33:17.915Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co
dc.title.eng.fl_str_mv A family of formulae for pi
title A family of formulae for pi
spellingShingle A family of formulae for pi
Asymptotic formulae
Circle method
Clairaut's equation
Constructions with straightedge and compass
Pi
Pythagorean triples
title_short A family of formulae for pi
title_full A family of formulae for pi
title_fullStr A family of formulae for pi
title_full_unstemmed A family of formulae for pi
title_sort A family of formulae for pi
dc.contributor.affiliation.spa.fl_str_mv Department of Basic Sciences, University of Medellin, Carrera 87 No. 30 - 65, Medellin, Colombia
dc.subject.keyword.eng.fl_str_mv Asymptotic formulae
Circle method
Clairaut's equation
Constructions with straightedge and compass
Pi
Pythagorean triples
topic Asymptotic formulae
Circle method
Clairaut's equation
Constructions with straightedge and compass
Pi
Pythagorean triples
description 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.
publishDate 2012
dc.date.created.none.fl_str_mv 2012
dc.date.accessioned.none.fl_str_mv 2015-10-09T13:17:51Z
dc.date.available.none.fl_str_mv 2015-10-09T13:17:51Z
dc.type.eng.fl_str_mv Article
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_6501
http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/article
dc.identifier.issn.none.fl_str_mv 9720871
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/11407/1361
identifier_str_mv 9720871
url http://hdl.handle.net/11407/1361
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.isversionof.spa.fl_str_mv http://www.scopus.com/inward/record.url?eid=2-s2.0-84862632285&partnerID=40&md5=411b23898b22de186910c69a173911fa
dc.relation.ispartofen.eng.fl_str_mv Far East Journal of Mathematical Sciences, mayo de 2012, volume 64, issue 2, pp 157-181
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_16ec
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/restrictedAccess
eu_rights_str_mv restrictedAccess
rights_invalid_str_mv http://purl.org/coar/access_right/c_16ec
dc.source.spa.fl_str_mv Scopus
institution Universidad de Medellín
repository.name.fl_str_mv Repositorio Institucional Universidad de Medellin
repository.mail.fl_str_mv repositorio@udem.edu.co
_version_ 1814159230176854016

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