Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)

Detalhes bibliográficos
Autor(a) principal: Caritá, Lucas Antonio
Data de Publicação: 2022
Outros Autores: Dos Santos, Carla Patrícia Ferreira [UNESP], Gadotti, Marta Cilene [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/233841
Resumo: Spherical Geometry is a non-Euclidean geometry that provides good tools for terrestrial location and has great applicability in Astronomy. For this reason, trigonometry in spherical triangles is an interesting subject to study. Because it is a well-developed field, there are many widely known theorems and formulas with classical demonstrations. This article aims to present an alternative proof for the Half-Side Tangent Formulas, using the Langrange’s Theorem concerning polar triangles.
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spelling Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)Half-Side Tangent FormulasLagrange’s TheoremSailor’s FormulasSpherical GeometrySpherical TrigonometrySpherical Geometry is a non-Euclidean geometry that provides good tools for terrestrial location and has great applicability in Astronomy. For this reason, trigonometry in spherical triangles is an interesting subject to study. Because it is a well-developed field, there are many widely known theorems and formulas with classical demonstrations. This article aims to present an alternative proof for the Half-Side Tangent Formulas, using the Langrange’s Theorem concerning polar triangles.Instituto Federal de Educação Ciência e Tecnologia de São Paulo-IFSPUniversidade Estadual Paulista “Júlio de Mesquita Filho”-UNESPUniversidade Estadual Paulista “Júlio de Mesquita Filho”-UNESPCiência e Tecnologia de São Paulo-IFSPUniversidade Estadual Paulista (UNESP)Caritá, Lucas AntonioDos Santos, Carla Patrícia Ferreira [UNESP]Gadotti, Marta Cilene [UNESP]2022-05-01T11:07:17Z2022-05-01T11:07:17Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article446-455Palestine Journal of Mathematics, v. 11, n. 1, p. 446-455, 2022.2219-5688http://hdl.handle.net/11449/2338412-s2.0-85119952969Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPalestine Journal of Mathematicsinfo:eu-repo/semantics/openAccess2022-05-01T11:07:17Zoai:repositorio.unesp.br:11449/233841Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-05-01T11:07:17Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)
title Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)
spellingShingle Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)
Caritá, Lucas Antonio
Half-Side Tangent Formulas
Lagrange’s Theorem
Sailor’s Formulas
Spherical Geometry
Spherical Trigonometry
title_short Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)
title_full Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)
title_fullStr Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)
title_full_unstemmed Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)
title_sort Derivation of the half-side tangent formulas via lagrange’s theorem (For polar spherical triangles)
author Caritá, Lucas Antonio
author_facet Caritá, Lucas Antonio
Dos Santos, Carla Patrícia Ferreira [UNESP]
Gadotti, Marta Cilene [UNESP]
author_role author
author2 Dos Santos, Carla Patrícia Ferreira [UNESP]
Gadotti, Marta Cilene [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Ciência e Tecnologia de São Paulo-IFSP
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Caritá, Lucas Antonio
Dos Santos, Carla Patrícia Ferreira [UNESP]
Gadotti, Marta Cilene [UNESP]
dc.subject.por.fl_str_mv Half-Side Tangent Formulas
Lagrange’s Theorem
Sailor’s Formulas
Spherical Geometry
Spherical Trigonometry
topic Half-Side Tangent Formulas
Lagrange’s Theorem
Sailor’s Formulas
Spherical Geometry
Spherical Trigonometry
description Spherical Geometry is a non-Euclidean geometry that provides good tools for terrestrial location and has great applicability in Astronomy. For this reason, trigonometry in spherical triangles is an interesting subject to study. Because it is a well-developed field, there are many widely known theorems and formulas with classical demonstrations. This article aims to present an alternative proof for the Half-Side Tangent Formulas, using the Langrange’s Theorem concerning polar triangles.
publishDate 2022
dc.date.none.fl_str_mv 2022-05-01T11:07:17Z
2022-05-01T11:07:17Z
2022-01-01
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 Palestine Journal of Mathematics, v. 11, n. 1, p. 446-455, 2022.
2219-5688
http://hdl.handle.net/11449/233841
2-s2.0-85119952969
identifier_str_mv Palestine Journal of Mathematics, v. 11, n. 1, p. 446-455, 2022.
2219-5688
2-s2.0-85119952969
url http://hdl.handle.net/11449/233841
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Palestine Journal of Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 446-455
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965046593290240

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