Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?

Bibliographic Details
Main Author: Dellajustina F.J.*
Publication Date: 2014
Other Authors: Martins L.C.*
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000trb9
Download full: https://repositorio.udesc.br/handle/UDESC/10920
Summary: We propose three methods to numerically determine the value of one of the most famous and important mathematical constants, the constant π. We present a numerical method inspired by the original method of Archimedes, an experimental mechanical method that uses sand and a stick, and finally, from a model based on the idea of probability, the Monte Carlo method is used for the evaluation of π. The experimental apparatus is very simple and of low cost, which makes easy the use of the experimental method and its application in physics and mathematics courses at high-school level. © by the Sociedade Brasileira de Física.
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spelling Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?We propose three methods to numerically determine the value of one of the most famous and important mathematical constants, the constant π. We present a numerical method inspired by the original method of Archimedes, an experimental mechanical method that uses sand and a stick, and finally, from a model based on the idea of probability, the Monte Carlo method is used for the evaluation of π. The experimental apparatus is very simple and of low cost, which makes easy the use of the experimental method and its application in physics and mathematics courses at high-school level. © by the Sociedade Brasileira de Física.2024-12-07T20:14:34Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0102-4744https://repositorio.udesc.br/handle/UDESC/10920ark:/33523/001300000trb9Revista Brasileira de Ensino de Fisica363Dellajustina F.J.*Martins L.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:57:37Zoai:repositorio.udesc.br:UDESC/10920Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:57:37Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?
title Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?
spellingShingle Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?
Dellajustina F.J.*
title_short Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?
title_full Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?
title_fullStr Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?
title_full_unstemmed Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?
title_sort Could Archimedes have calculated π with sand and a stick? Poderia Arquimedes ter calculado π com areia e um bastão?
author Dellajustina F.J.*
author_facet Dellajustina F.J.*
Martins L.C.*
author_role author
author2 Martins L.C.*
author2_role author
dc.contributor.author.fl_str_mv Dellajustina F.J.*
Martins L.C.*
description We propose three methods to numerically determine the value of one of the most famous and important mathematical constants, the constant π. We present a numerical method inspired by the original method of Archimedes, an experimental mechanical method that uses sand and a stick, and finally, from a model based on the idea of probability, the Monte Carlo method is used for the evaluation of π. The experimental apparatus is very simple and of low cost, which makes easy the use of the experimental method and its application in physics and mathematics courses at high-school level. © by the Sociedade Brasileira de Física.
publishDate 2014
dc.date.none.fl_str_mv 2014
2024-12-07T20:14:34Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv 0102-4744
https://repositorio.udesc.br/handle/UDESC/10920
dc.identifier.dark.fl_str_mv ark:/33523/001300000trb9
identifier_str_mv 0102-4744
ark:/33523/001300000trb9
url https://repositorio.udesc.br/handle/UDESC/10920
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Revista Brasileira de Ensino de Fisica
36
3
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
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institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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