Calculation of Areas of plane figures using the theoretical foundation of Analytical Geometry
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2022 |
| Outros Autores: | , , , , , , , , , |
| Tipo de documento: | Artigo |
| Idioma: | por |
| Título da fonte: | Research, Society and Development |
| Texto Completo: | https://rsdjournal.org/index.php/rsd/article/view/27877 |
Resumo: | The following article refers to obtaining the area of plane figures through the theoretical foundation of Analytical Geometry. The use of analytical geometry concepts arose from the difficulty in finding the solution proposed by plane geometry. It was noticed that the use of Cartesian axes inserted in the figure in a position in which the origin would be well determined and the sides provided would be part of the requested abscissas and ordinates, forming analytical points in the formed system. The objective of this article was to bring a strong argument in relation to the solution of the problem when thinking about the concepts of analytical geometry, favoring the speed and agility in the calculations, using the concepts of straight line, area of a triangle, angle between straight lines, distance between two points, distance between point and line. The methodology proposes the solution of two problems involving the part of point and line, making the comparison with the plane geometry. As a positive result, we will have a huge application of analytical geometry in various problems of plane geometry as well as the use in everyday geometric shapes, favoring the reduction of the response time to the item in vestibular tests and public tenders. |
| id |
UNIFEI_8e33aaa12e08d7dedb0de1f738d170f6 |
|---|---|
| oai_identifier_str |
oai:ojs.pkp.sfu.ca:article/27877 |
| network_acronym_str |
UNIFEI |
| network_name_str |
Research, Society and Development |
| repository_id_str |
|
| spelling |
Calculation of Areas of plane figures using the theoretical foundation of Analytical GeometryCálculo de Áreas de figuras planas utilizando la fundamentación teórica de la Geometría AnalíticaCálculo de Áreas de figuras planas utilizando a fundamentação teórica da Geometria AnalíticaÁreas de Figuras planasGeometria AnalíticaPontos analíticosReta.Áreas de Figuras PlanasGeometría analíticaPuntos analíticosRecta.Areas of Plane FiguresAnalytical GeometryAnalytical pointsForthright.The following article refers to obtaining the area of plane figures through the theoretical foundation of Analytical Geometry. The use of analytical geometry concepts arose from the difficulty in finding the solution proposed by plane geometry. It was noticed that the use of Cartesian axes inserted in the figure in a position in which the origin would be well determined and the sides provided would be part of the requested abscissas and ordinates, forming analytical points in the formed system. The objective of this article was to bring a strong argument in relation to the solution of the problem when thinking about the concepts of analytical geometry, favoring the speed and agility in the calculations, using the concepts of straight line, area of a triangle, angle between straight lines, distance between two points, distance between point and line. The methodology proposes the solution of two problems involving the part of point and line, making the comparison with the plane geometry. As a positive result, we will have a huge application of analytical geometry in various problems of plane geometry as well as the use in everyday geometric shapes, favoring the reduction of the response time to the item in vestibular tests and public tenders.El siguiente artículo se refiere a la obtención del área de figuras planas a través de la fundamentación teórica de la Geometría Analítica. El uso de conceptos de geometría analítica surgió de la dificultad de encontrar la solución propuesta por la geometría plana. Se notó que el uso de ejes cartesianos insertados en la figura en una posición en la que el origen estaría bien determinado y los lados proporcionados formarían parte de las abscisas y ordenadas solicitadas, formando puntos analíticos en el sistema formado. El objetivo de este artículo fue traer un argumento fuerte en relación a la solución del problema al pensar en los conceptos de geometría analítica, favoreciendo la rapidez y agilidad en los cálculos, utilizando los conceptos de recta, área de un triángulo , ángulo entre rectas, distancia entre dos puntos, distancia entre punto y recta. La metodología propone la solución de dos problemas que involucran la parte de punto y línea, haciendo la comparación con la geometría del plano. Como resultado positivo tendremos una gran aplicación de la geometría analítica en diversos problemas de geometría plana así como el uso en formas geométricas cotidianas, favoreciendo la reducción del tiempo de respuesta al ítem en pruebas vestibulares y concursos públicos.O artigo a seguir refere-se à obtenção da área de figuras planas por meio da fundamentação teórica da Geometria Analítica. A utilização dos conceitos da geometria analítica surgiu a partir da dificuldade em encontrar a solução proposta pela geometria plana. Percebeu-se que o uso dos eixos cartesianos inseridos na figura em uma posição em que a origem seria bem determinada e os lados fornecidos seriam parte das abscissas e das ordenadas solicitadas, formando pontos analíticos no sistema formado. O objetivo deste artigo foi trazer uma argumentação forte em relação a solução do problema quando pensado sobre os conceitos da geometria analítica, favorecendo a rapidez e agilidade nos cálculos, utilizando os conceitos de reta, área de um triângulo, ângulo entre retas, distância entre dois pontos, distância entre ponto e reta. A metodologia propõe a solução de dois problemas envolvendo a parte de ponto e reta, fazendo o comparativo com a geometria plana. Como resultado positivo teremos uma enorme aplicação da geometria analítica em variados problemas da geometria plana como também a utilização em formas geométricas do cotidiano favorecendo a diminuição do tempo de resposta ao item em testes de vestibulares e concursos públicos.Research, Society and Development2022-03-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/2787710.33448/rsd-v11i4.27877Research, Society and Development; Vol. 11 No. 4; e59411427877Research, Society and Development; Vol. 11 Núm. 4; e59411427877Research, Society and Development; v. 11 n. 4; e594114278772525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIporhttps://rsdjournal.org/index.php/rsd/article/view/27877/24242Copyright (c) 2022 Gustavo Nogueira Dias; Washington Luiz Pedrosa da Silva Junior; Pedro Roberto Sousa da Silva; Gilberto Emanoel Reis Vogado; Fabricio da Silva Lobato ; Wagner Davy Lucas Barreto; Gerson Pompeu Pinto ; Katiane Pereira da Silva; Antonio Thiago Madeira Beirão; Reginaldo Pereira Flor; Ricardo Daniel Soares Santoshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessDias, Gustavo Nogueira Silva Junior, Washington Luiz Pedrosa da da Silva, Pedro Roberto Sousa Vogado, Gilberto Emanoel Reis Lobato , Fabricio da Silva Barreto, Wagner Davy Lucas Pinto , Gerson Pompeu Silva, Katiane Pereira da Beirão, Antonio Thiago Madeira Flor, Reginaldo Pereira Santos, Ricardo Daniel Soares 2022-03-27T17:17:09Zoai:ojs.pkp.sfu.ca:article/27877Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:45:28.124504Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false |
| dc.title.none.fl_str_mv |
Calculation of Areas of plane figures using the theoretical foundation of Analytical Geometry Cálculo de Áreas de figuras planas utilizando la fundamentación teórica de la Geometría Analítica Cálculo de Áreas de figuras planas utilizando a fundamentação teórica da Geometria Analítica |
| title |
Calculation of Areas of plane figures using the theoretical foundation of Analytical Geometry |
| spellingShingle |
Calculation of Areas of plane figures using the theoretical foundation of Analytical Geometry Dias, Gustavo Nogueira Áreas de Figuras planas Geometria Analítica Pontos analíticos Reta. Áreas de Figuras Planas Geometría analítica Puntos analíticos Recta. Areas of Plane Figures Analytical Geometry Analytical points Forthright. |
| title_short |
Calculation of Areas of plane figures using the theoretical foundation of Analytical Geometry |
| title_full |
Calculation of Areas of plane figures using the theoretical foundation of Analytical Geometry |
| title_fullStr |
Calculation of Areas of plane figures using the theoretical foundation of Analytical Geometry |
| title_full_unstemmed |
Calculation of Areas of plane figures using the theoretical foundation of Analytical Geometry |
| title_sort |
Calculation of Areas of plane figures using the theoretical foundation of Analytical Geometry |
| author |
Dias, Gustavo Nogueira |
| author_facet |
Dias, Gustavo Nogueira Silva Junior, Washington Luiz Pedrosa da da Silva, Pedro Roberto Sousa Vogado, Gilberto Emanoel Reis Lobato , Fabricio da Silva Barreto, Wagner Davy Lucas Pinto , Gerson Pompeu Silva, Katiane Pereira da Beirão, Antonio Thiago Madeira Flor, Reginaldo Pereira Santos, Ricardo Daniel Soares |
| author_role |
author |
| author2 |
Silva Junior, Washington Luiz Pedrosa da da Silva, Pedro Roberto Sousa Vogado, Gilberto Emanoel Reis Lobato , Fabricio da Silva Barreto, Wagner Davy Lucas Pinto , Gerson Pompeu Silva, Katiane Pereira da Beirão, Antonio Thiago Madeira Flor, Reginaldo Pereira Santos, Ricardo Daniel Soares |
| author2_role |
author author author author author author author author author author |
| dc.contributor.author.fl_str_mv |
Dias, Gustavo Nogueira Silva Junior, Washington Luiz Pedrosa da da Silva, Pedro Roberto Sousa Vogado, Gilberto Emanoel Reis Lobato , Fabricio da Silva Barreto, Wagner Davy Lucas Pinto , Gerson Pompeu Silva, Katiane Pereira da Beirão, Antonio Thiago Madeira Flor, Reginaldo Pereira Santos, Ricardo Daniel Soares |
| dc.subject.por.fl_str_mv |
Áreas de Figuras planas Geometria Analítica Pontos analíticos Reta. Áreas de Figuras Planas Geometría analítica Puntos analíticos Recta. Areas of Plane Figures Analytical Geometry Analytical points Forthright. |
| topic |
Áreas de Figuras planas Geometria Analítica Pontos analíticos Reta. Áreas de Figuras Planas Geometría analítica Puntos analíticos Recta. Areas of Plane Figures Analytical Geometry Analytical points Forthright. |
| description |
The following article refers to obtaining the area of plane figures through the theoretical foundation of Analytical Geometry. The use of analytical geometry concepts arose from the difficulty in finding the solution proposed by plane geometry. It was noticed that the use of Cartesian axes inserted in the figure in a position in which the origin would be well determined and the sides provided would be part of the requested abscissas and ordinates, forming analytical points in the formed system. The objective of this article was to bring a strong argument in relation to the solution of the problem when thinking about the concepts of analytical geometry, favoring the speed and agility in the calculations, using the concepts of straight line, area of a triangle, angle between straight lines, distance between two points, distance between point and line. The methodology proposes the solution of two problems involving the part of point and line, making the comparison with the plane geometry. As a positive result, we will have a huge application of analytical geometry in various problems of plane geometry as well as the use in everyday geometric shapes, favoring the reduction of the response time to the item in vestibular tests and public tenders. |
| publishDate |
2022 |
| dc.date.none.fl_str_mv |
2022-03-27 |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
https://rsdjournal.org/index.php/rsd/article/view/27877 10.33448/rsd-v11i4.27877 |
| url |
https://rsdjournal.org/index.php/rsd/article/view/27877 |
| identifier_str_mv |
10.33448/rsd-v11i4.27877 |
| dc.language.iso.fl_str_mv |
por |
| language |
por |
| dc.relation.none.fl_str_mv |
https://rsdjournal.org/index.php/rsd/article/view/27877/24242 |
| dc.rights.driver.fl_str_mv |
https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
https://creativecommons.org/licenses/by/4.0 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
Research, Society and Development |
| publisher.none.fl_str_mv |
Research, Society and Development |
| dc.source.none.fl_str_mv |
Research, Society and Development; Vol. 11 No. 4; e59411427877 Research, Society and Development; Vol. 11 Núm. 4; e59411427877 Research, Society and Development; v. 11 n. 4; e59411427877 2525-3409 reponame:Research, Society and Development instname:Universidade Federal de Itajubá (UNIFEI) instacron:UNIFEI |
| instname_str |
Universidade Federal de Itajubá (UNIFEI) |
| instacron_str |
UNIFEI |
| institution |
UNIFEI |
| reponame_str |
Research, Society and Development |
| collection |
Research, Society and Development |
| repository.name.fl_str_mv |
Research, Society and Development - Universidade Federal de Itajubá (UNIFEI) |
| repository.mail.fl_str_mv |
rsd.articles@gmail.com |
| _version_ |
1797052708438409216 |