{"id":19503,"date":"2021-04-20T19:40:55","date_gmt":"2021-04-20T19:40:55","guid":{"rendered":"https:\/\/adenilsongiovanini.com.br\/blog\/?p=19503"},"modified":"2023-08-02T00:19:41","modified_gmt":"2023-08-02T00:19:41","slug":"poligonal-topografica","status":"publish","type":"post","link":"https:\/\/adenilsongiovanini.com.br\/blog\/poligonal-topografica\/","title":{"rendered":"Poligonal topogr\u00e1fica: o que \u00e9?"},"content":{"rendered":"<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">O que \u00e9 uma <strong>poligonal topogr\u00e1fica<\/strong>, quais os diferentes tipos existentes e qual a legisla\u00e7\u00e3o a respeito?<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Isso que voc\u00ea aprender\u00e1 com a leitura deste artigo.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; font-size: 24px; color: #000000;\">O que \u00e9 uma poligonal topogr\u00e1fica?<\/span><\/strong><\/h2>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-19507\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/poligonal-topografica.png\" alt=\"\" width=\"668\" height=\"512\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/poligonal-topografica.png 668w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/poligonal-topografica-300x230.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/poligonal-topografica-320x245.png 320w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/poligonal-topografica-640x491.png 640w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/poligonal-topografica-360x276.png 360w\" sizes=\"(max-width: 668px) 100vw, 668px\" \/><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Quando se fala na realiza\u00e7\u00e3o do <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/estacao-total\/\">levantamento de dados com esta\u00e7\u00f5es totais<\/a><\/span>, existem 2 m\u00e9todos que s\u00e3o aceitos pela legisla\u00e7\u00e3o. S\u00e3o eles:<\/span><\/p>\n<ul>\n<li><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><strong>Poligona\u00e7\u00e3o<\/strong> (tamb\u00e9m conhecida como <strong>poligonal topogr\u00e1fica<\/strong>) e;<\/span><\/li>\n<li><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/levantamento-topografico-por-irradiacao\/\">Irradia\u00e7\u00e3o<\/a><\/span>.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/acervodigital.ufpr.br\/bitstream\/handle\/1884\/3145\/CARLOS_A_ZOCOLOTTI.pdf?sequence=1&amp;isAllowed=y\">Filho, C. A. Z. em sua disserta\u00e7\u00e3o de mestrado<\/a> <\/span>traz a seguinte passagem a respeito de poligona\u00e7\u00e3o:<\/span><\/p>\n<blockquote style=\"border: 2px double #009900; background: #f0fff0 none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; color: #323232; padding-left: 15px; padding-top: 10px; padding-bottom: 10px;\"><p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">A poligona\u00e7\u00e3o \u00e9 um m\u00e9todo muito empregado para a determina\u00e7\u00e3o de coordenadas de pontos, principalmente para a defini\u00e7\u00e3o de pontos de apoio planim\u00e9trico. Uma poligonal \u00e9 uma s\u00e9rie de linhas consecutivas para as quais s\u00e3o conhecidos os comprimentos e dire\u00e7\u00f5es, obtidos atrav\u00e9s de medi\u00e7\u00f5es em campo.<\/span><br \/>\n<span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">O <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/topografia-curso-com-foco-na-pratica\/\" style=\"color: #0000ff;\">levantamento de uma poligonal<\/a><\/span> \u00e9 realizado atrav\u00e9s do m\u00e9todo de caminhamento, percorrendo-se o contorno de um itiner\u00e1rio definido por uma s\u00e9rie de pontos, medindo-se todos os \u00e2ngulos e lados e uma orienta\u00e7\u00e3o inicial. A partir destes dados e de uma <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/tipos-de-coordenadas-geograficas\/\" style=\"color: #0000ff;\">coordenada de partida<\/a><\/span>, \u00e9 poss\u00edvel calcular as coordenadas de todos os pontos que formam esta poligonal. <\/span><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">JORDAN (1981) em seu <span style=\"color: #0000ff;\">livro Tratado general de topografia<\/span>, classifica as poligonais topogr\u00e1ficas em 3 tipos:<\/span><\/p>\n<ul>\n<li><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"> <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/poligonal-fechada-aberta-e-enquadrada\/\">Poligonais abertas<\/a><\/span>;<\/span><\/li>\n<li><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Poligonais fechadas;<\/span><\/li>\n<li><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Poligonais enquadradas.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Vamos ver melhor os mesmos:<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\"> O que \u00e9 uma p<\/span><\/strong><\/span><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><b>oligonal topogr\u00e1fica <\/b><b>aberta<\/b><\/span><\/h3>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4053\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Poligonal-aberta.png\" alt=\"poligonal topogr\u00e1fica aberta\" width=\"525\" height=\"186\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Poligonal-aberta.png 525w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Poligonal-aberta-300x106.png 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Uma poligonal topogr\u00e1fica aberta parte de um ponto com coordenadas conhecidas e acaba em um ponto cujas coordenadas deseja-se determinar.<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Devido a estas caracter\u00edsticas, n\u00e3o \u00e9 poss\u00edvel determinar-se os erros de fechamento. Logo, ao utilizar este tipo de poligonal, voc\u00ea deve tomar todos os cuidados necess\u00e1rios para evitar erros.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">O que \u00e9 uma p<\/span><\/strong><\/span><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><b>oligonal topogr\u00e1fica <\/b><b>fechada<\/b><\/span><\/h3>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4051\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Poligonal-fechada.png\" alt=\"poligonal topogr\u00e1fica fechada\" width=\"448\" height=\"364\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Poligonal-fechada.png 448w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Poligonal-fechada-300x244.png 300w\" sizes=\"(max-width: 448px) 100vw, 448px\" \/><\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Uma poligonal topogr\u00e1fica fechada, parte de um ponto com <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/coordenadas-geograficas-o-que-sao\/\">coordenadas<\/a><\/span> conhecidas e retorna ao mesmo ponto. Sua principal vantagem \u00e9 permitir a verifica\u00e7\u00e3o dos <span style=\"color: #0000ff;\">erros angulares e lineares<\/span>.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">O que \u00e9 uma p<\/span><\/strong><\/span><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><b>oligonal topogr\u00e1fica <\/b><b>enquadrada<\/b><\/span><\/h3>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><img decoding=\"async\" class=\"aligncenter wp-image-4052\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Poligonal-enquadrada.png\" alt=\"poligonal enquadrada\" width=\"759\" height=\"185\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Poligonal-enquadrada.png 769w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Poligonal-enquadrada-300x73.png 300w\" sizes=\"(max-width: 759px) 100vw, 759px\" \/><\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Uma poligonal enquadrada, parte de dois pontos com coordenadas conhecidas e acaba em outros dois pontos com coordenadas conhecidas. Com isso, a mesma possibilita a verifica\u00e7\u00e3o dos erros de fechamento angular e linear.<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Devido ao fato de possibilitarem a verifica\u00e7\u00e3o dos erros, as poligonais fechadas e enquadradas s\u00e3o amplamente utilizadas na <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/category\/topografia-cadastral\/\">Topografia Cadastral<\/a><\/span>.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><strong><span style=\"font-size: 24px; font-family: arial, helvetica, sans-serif; color: #000000;\">Quando utilizar os diferentes tipos de poligonais<\/span><\/strong><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-large wp-image-19430\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-1024x425.jpg\" alt=\"esta\u00e7\u00e3o total e poligonais abertas e poligonais fechadas\" width=\"1024\" height=\"425\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-1024x425.jpg 1024w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-300x124.jpg 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-768x318.jpg 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-1536x637.jpg 1536w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-320x133.jpg 320w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-640x265.jpg 640w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-360x149.jpg 360w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-720x299.jpg 720w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-1080x448.jpg 1080w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-800x332.jpg 800w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral-1280x531.jpg 1280w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/estacao-total-no-levantamento-planialtimetrico-cadastral.jpg 1640w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\">Como uma poligonal topogr\u00e1fica possibilita a verifica\u00e7\u00e3o de erros lineares e angulares, as poligonais acabam sendo um dos m\u00e9todos de c\u00e1lculo de \u00e1rea mais difundidos e aceitos n\u00e3o s\u00f3 no Brasil, mas no mundo como um todo.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\">Este m\u00e9todo de <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/curso-de-autocad-para-topografia\/\" style=\"color: #0000ff;\">c\u00e1lculo de \u00e1rea<\/a><\/span>, juntamente com as poligonais enquadradas, tamb\u00e9m \u00e9 muito utilizado<\/span> <span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">em estudos cient\u00edficos.<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">As poligonais fechadas e as poligonais enquadradas tamb\u00e9m s\u00e3o indicadas para o monitoramento de estruturas. Por exemplo, <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"http:\/\/repositorio.lnec.pt:8080\/xmlui\/handle\/123456789\/17037\">HENRIQUES (2001)<\/a><\/span> utilizou 2 poligonais de precis\u00e3o para medi\u00e7\u00f5es angulares atrav\u00e9s da utiliza\u00e7\u00e3o de uma <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/estacao-total\/\">esta\u00e7\u00e3o total<\/a><\/span> robotizada.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><center><iframe width=\"728\" height=\"410\" src=\"https:\/\/www.youtube.com\/embed\/kCzD7St4wmo\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><span style=\"font-size: 24px;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">Classifica\u00e7\u00e3o das poligonais topogr\u00e1ficas feita pela NBR 13.133<\/span><\/strong><\/span><\/h2>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-19324\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/nbr-13133.png\" alt=\"nbr 13133 e a classifica\u00e7\u00e3o das poligonais topogr\u00e1ficas\" width=\"780\" height=\"524\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/nbr-13133.png 783w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/nbr-13133-300x202.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/nbr-13133-768x516.png 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/nbr-13133-320x215.png 320w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/nbr-13133-640x430.png 640w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/nbr-13133-360x242.png 360w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/nbr-13133-720x484.png 720w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\">A <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"http:\/\/www.carto.eng.uerj.br\/cdecart\/download\/NBR13133.pdf\">NBR 13133<\/a><\/span> (ABNT, 1994) classifica as poligonais em:<\/span><\/p>\n<ul>\n<li><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Poligonal auxiliar;<\/span><\/li>\n<li><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Poligonal principal e;<\/span><\/li>\n<li><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Poligonal secund\u00e1ria.<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Conceito de poligonal auxiliar<\/span><\/strong><\/h3>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">A NBR 13.133 possui o seguinte conceito de poligonal auxiliar:<\/span><\/p>\n<blockquote style=\"border: 2px double #009900; background: #f0fff0 none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; color: #323232; padding-left: 15px; padding-top: 10px; padding-bottom: 10px;\"><p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Poligonal que, baseada nos pontos de apoio topogr\u00e1fico planim\u00e9trico, tem os seus v\u00e9rtices distribu\u00eddos na \u00e1rea ou faixa a ser levantada, de tal forma, que seja poss\u00edvel coletar, direta ou indiretamente, por irradia\u00e7\u00e3o, interse\u00e7\u00e3o ou por ordenadas sobre uma linha-base, os pontos de detalhe julgados importantes, que devem ser estabelecidos pela escala ou n\u00edvel de detalhamento do levantamento.<\/span><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Conceito de poligonal principal<\/span><\/strong><\/h3>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">A NBR 13.133 possui o seguinte conceito de poligonal principal:<\/span><\/p>\n<blockquote style=\"border: 2px double #009900; background: #f0fff0 none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; color: #323232; padding-left: 15px; padding-top: 10px; padding-bottom: 10px;\"><p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Poligonal que determina os pontos do apoio topogr\u00e1fico de primeira ordem.<\/span><\/p><\/blockquote>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><strong><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Conceito de poligonal secund\u00e1ria<\/span><\/strong><\/h3>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">A NBR 13.133 possui o seguinte conceito de poligonal secund\u00e1ria:<\/span><\/p>\n<blockquote style=\"border: 2px double #009900; background: #f0fff0 none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; color: #323232; padding-left: 15px; padding-top: 10px; padding-bottom: 10px;\"><p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Aquela que, apoiada nos v\u00e9rtices da poligonal principal, determina os pontos do apoio topogr\u00e1fico de segunda ordem.<\/span><\/p><\/blockquote>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Se voc\u00ea quer<strong> MERGULHAR FUNDO e aprender a prestar servi\u00e7os com grande velocidade e com seguran\u00e7a<\/strong>, <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/cursos-online\/\">acesse este link<\/a><\/span> e conhe\u00e7a os mesmos.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000;\"><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; line-height: 1.3;\">Entre eles, o <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/curso-de-autocad-para-topografia\/\" target=\"_blank\" rel=\"noopener noreferrer\">Curso de Confec\u00e7\u00e3o de Plantas Topogr\u00e1ficas<\/a><\/span>. <span style=\"color: #000000;\">Um <\/span><\/span><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; line-height: 1.3;\">curso pr\u00e1tico\u00a0<\/span><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; line-height: 1.3;\">com o qual voc\u00ea vai <strong>aprender a produzir as 15 diferentes plantas produzidas em um escrit\u00f3rio de topografia<\/strong>.<\/span><\/span><\/p>\n<p><a href=\"https:\/\/adenilsongiovanini.com.br\/curso-de-autocad-para-topografia\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" class=\"aligncenter wp-image-31689\" src=\"https:\/\/adenilsongiovanini.com.br\/wp-content\/uploads\/2022\/07\/planta-de-topografia-1024x612.png\" alt=\"\" width=\"770\" height=\"460\" \/><\/a><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Clique <a href=\"https:\/\/adenilsongiovanini.com.br\/curso-de-autocad-para-topografia\/\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"color: #0000ff;\">neste link<\/span><\/a> e conhe\u00e7a melhor o mesmo.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Gratid\u00e3o por voc\u00ea ter lido o artigo. \ud83d\ude4f<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; font-size: 24px;\"><strong>Aprenda a Prestar Servi\u00e7os de Topografia Cadastral Atrav\u00e9s de um Livro Formado Por Mais de 547 <\/strong><\/span><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; font-size: 24px;\"><strong>Estudos de Caso e E<\/strong><\/span><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; font-size: 24px;\"><strong>xemplos Pr\u00e1ticos<\/strong><\/span><\/h2>\n<h2 style=\"text-align: center;\"><img decoding=\"async\" class=\"aligncenter size-large wp-image-25393\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia-780x386.png\" alt=\"\" width=\"780\" height=\"386\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia-780x386.png 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia-300x148.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia-768x380.png 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/08\/livro-de-topografia.png 1536w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/h2>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">A <span style=\"text-decoration: underline;\"><em>1 clique de dist\u00e2ncia de voc\u00ea<\/em><\/span> encontra-se o <strong>MAIS COMPLETO LIVRO DE TOPOGRAFIA DO BRASIL<\/strong>.<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">O mesmo \u00e9 formado por mais de 547 Estudos de Caso, Conhecimentos Pr\u00e1ticos, Exemplos, Aplica\u00e7\u00f5es, Planilhas e Chacklists!<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Se voc\u00ea quer <em>(ou precisa)<\/em> aprender a prestar servi\u00e7os de Topografia, este livro servir\u00e1 como uma luva para voc\u00ea.<\/span><\/p>\n<p><span style=\"font-size: 20px;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">D\u00ea uma espiadinha no sum\u00e1rio do mesmo:<\/span><\/span><\/p>\n<p><center><iframe width=\"95%\" height=\"990\" src=\"https:\/\/drive.google.com\/file\/d\/1Ceor37i07URpOWB8CUnuUWq8aOuR7VSf\/preview\"><\/iframe><\/center><\/p>\n<p><span style=\"font-size: 20px;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">Para conhecer melhor a estrutura do livro, juntar-se a dezenas de profissionais e adquirir sua c\u00f3pia \u00e9 s\u00f3 clicar no bot\u00e3o abaixo:<\/span><\/span><\/p>\n<div class=\"su-button-center\">\n<div class=\"su-button-center\"><span style=\"color: #000000; font-size: 20px;\"><div class=\"su-button-center\"><a href=\"https:\/\/adenilsongiovanini.com.br\/biblia-do-agrimensor\/\" class=\"su-button su-button-style-3d\" style=\"color:#000000;background-color:#2BCC2F;border-color:#23a426;border-radius:9px\" target=\"_blank\" rel=\"nofollow\" id=\"1\"><span style=\"color:#000000;padding:0px 24px;font-size:18px;line-height:36px;border-color:#6bdc6e;border-radius:9px;text-shadow:0px 0px 0px #000000\"> \u279c Quero Conhecer Melhor o Livro, Pois Quero e Preciso Aprender Mais Sobre a Presta\u00e7\u00e3o de Servi\u00e7os de Topografia<\/span><\/a><\/div><\/span><\/div>\n<\/div>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>O que \u00e9 uma poligonal topogr\u00e1fica, quais os diferentes tipos existentes e qual a legisla\u00e7\u00e3o a respeito? Isso que voc\u00ea aprender\u00e1 com a leitura deste artigo. &nbsp; O que \u00e9 uma poligonal topogr\u00e1fica? Quando se fala na realiza\u00e7\u00e3o do levantamento de dados com esta\u00e7\u00f5es totais, existem 2 m\u00e9todos que s\u00e3o [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3851,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[9],"tags":[],"class_list":["post-19503","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-topografia-cadastral"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Poligonal topogr\u00e1fica: o que \u00e9? - Adenilson Giovanini<\/title>\n<meta name=\"description\" content=\"Descubra o que \u00e9 uma poligonal topogr\u00e1fica, quais os diferentes tipos existentes e qual a legisla\u00e7\u00e3o a respeito do assunto.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/poligonal-topografica\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Poligonal topogr\u00e1fica: o que \u00e9? 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