{"id":26151,"date":"2021-10-18T23:27:19","date_gmt":"2021-10-18T23:27:19","guid":{"rendered":"https:\/\/adenilsongiovanini.com.br\/blog\/?p=26151"},"modified":"2022-08-18T17:26:22","modified_gmt":"2022-08-18T17:26:22","slug":"elipsoide-de-revolucao-o-que-e","status":"publish","type":"post","link":"https:\/\/adenilsongiovanini.com.br\/blog\/elipsoide-de-revolucao-o-que-e\/","title":{"rendered":"Elipsoide de Revolu\u00e7\u00e3o: o Que \u00e9?"},"content":{"rendered":"<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Antes de entendermos exatamente o que \u00e9 o <em><strong>elipsoide de revolu\u00e7\u00e3o<\/strong><\/em>, \u00e9 importante que voc\u00ea saiba que existe o <strong>elipsoide<\/strong> e o <em><strong>elipsoide de revolu\u00e7\u00e3o<\/strong><\/em>, sendo que na <span style=\"color: #0000ff; line-height: 1.3;\"><a style=\"color: #0000ff;\" href=\"https:\/\/mundoeducacao.bol.uol.com.br\/geografia\/geodesia.htm\" target=\"_blank\" rel=\"noopener noreferrer\">geod\u00e9sia<\/a><\/span> utiliza-se o elipsoide de revolu\u00e7\u00e3o de revolu\u00e7\u00e3o para definir-se a forma da terra.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Por causa disso, precisaremos primeiramente entender o que \u00e9 o elipsoide. Em seguida mergulharemos de cabe\u00e7a no elipsoide de revolu\u00e7\u00e3o de revolu\u00e7\u00e3o, entendendo:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O que o mesmo \u00e9;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Quais seus par\u00e2metros e f\u00f3rmulas;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Quais os elipsoides de revolu\u00e7\u00e3o mais utilizados;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O que \u00e9 um datum;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">E muito mais.<\/span><\/li>\n<\/ul>\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; line-height: 1.3;\">Eelipsoide<\/span><\/strong><\/span><\/h2>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4738\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Ellipsoide_3d.jpg\" alt=\"Ellipsoide_3d\" width=\"300\" height=\"240\" \/><\/span><br \/>\n<span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Na matem\u00e1tica, um <b>elipsoide<\/b> \u00e9 uma superf\u00edcie cuja equa\u00e7\u00e3o em um sistema de <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/mundoeducacao.bol.uol.com.br\/matematica\/plano-cartesiano.htm\" target=\"_blank\" rel=\"noopener noreferrer\">coordenadas cartesianas<\/a><\/span> <i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i>x<\/i>&#8211;<i>y<\/i>&#8211;<i>z<\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i><i><\/i> \u00e9:<\/span><\/p>\n<dl>\n<dd><span class=\"mwe-math-element\" style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/303573ace88047e7932c90d55d2c691d44ce2d39\" alt=\"{\\displaystyle {x^{2} \\over a^{2}}+{y^{2} \\over b^{2}}+{z^{2} \\over c^{2}}=1}\" \/><\/span><\/dd>\n<\/dl>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Onde <i>a<\/i>, <i>b<\/i> e <i>c<\/i> s\u00e3o n\u00fameros reais positivos que determinam as dimens\u00f5es e a forma de um <strong>elipsoide<\/strong> de revolu\u00e7\u00e3o triaxial.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter wp-image-4741 size-large\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoide-triaxial-780x386.png\" alt=\"elipsoide de revolu\u00e7\u00e3o triaxial\" width=\"780\" height=\"386\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoide-triaxial-780x386.png 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoide-triaxial-300x149.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoide-triaxial-768x380.png 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoide-triaxial.png 872w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Com isso:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Se dois dos n\u00fameros s\u00e3o iguais, o elipsoide \u00e9 um esferoide;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Se os tr\u00eas forem iguais, trata-se de uma esfera.<\/span><\/li>\n<\/ul>\n<p>\n<span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Supondo a \u2265 b \u2265 c, ent\u00e3o:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">a \u2260 b \u2260 c : o elipsoide \u00e9 <b>escaleno<\/b><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4742\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Ellipsoide-escaleno.png\" alt=\"Ellipsoide escaleno\" width=\"497\" height=\"402\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Ellipsoide-escaleno.png 497w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Ellipsoide-escaleno-300x243.png 300w\" sizes=\"(max-width: 497px) 100vw, 497px\" \/><\/span><br \/>\n<span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">c = 0 : o elipsoide de revolu\u00e7\u00e3o \u00e9 <b>plano<\/b> (duas elipses em simetria)<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4743\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/ellipsoid.jpg\" alt=\"elipsoide de revolu\u00e7\u00e3o - conceito\" width=\"599\" height=\"448\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/ellipsoid.jpg 599w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/ellipsoid-300x224.jpg 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><\/span><br \/>\n<span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">b = c : esferoide em forma de charuto<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter wp-image-4744\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/esferoide-charuto.jpg\" alt=\"esferoide charuto\" width=\"758\" height=\"424\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/esferoide-charuto.jpg 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/esferoide-charuto-300x168.jpg 300w\" sizes=\"(max-width: 758px) 100vw, 758px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">a = b : esferoide em forma de comprimido<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter wp-image-4746 size-large\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/\u00fanico-comprimido-redondo-21189438-780x780.jpg\" alt=\"\u00fanico comprimido redondo\" width=\"780\" height=\"780\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/\u00fanico-comprimido-redondo-21189438-780x780.jpg 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/\u00fanico-comprimido-redondo-21189438-300x300.jpg 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/\u00fanico-comprimido-redondo-21189438-150x150.jpg 150w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/\u00fanico-comprimido-redondo-21189438-768x768.jpg 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/\u00fanico-comprimido-redondo-21189438.jpg 800w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/span><br \/>\n<span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">a = b = c : esfera<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4747\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/esfera.png\" alt=\"esfera\" width=\"960\" height=\"960\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/esfera.png 960w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/esfera-300x300.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/esfera-780x780.png 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/esfera-150x150.png 150w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/esfera-768x768.png 768w\" sizes=\"(max-width: 960px) 100vw, 960px\" \/><\/span><\/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; line-height: 1.3;\">Elipsoide de Revolu\u00e7\u00e3o<\/span><\/strong><\/span><\/h2>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-3666\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/elipsoide.png\" alt=\"elipsoide de revolu\u00e7\u00e3o de revolu\u00e7\u00e3o\" width=\"503\" height=\"426\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/elipsoide.png 503w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/elipsoide-300x254.png 300w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Para entender o porque da necessidade de cria\u00e7\u00e3o do elipsoide de revolu\u00e7\u00e3o, voc\u00ea precisa entender a evolu\u00e7\u00e3o da forma da terra.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">No inicio, as pessoas consideravam a forma terra plana. Com o tempo, passamos a considerar a mesma uma esfera.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Por\u00e9m, existia o mar e as montanhas. Desta maneira, a terra n\u00e3o era uma esfera, sendo que os cart\u00f3grafos com o tempo atribu\u00edram a terra o formato de <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/www.ofitexto.com.br\/comunitexto\/voce-sabe-o-que-e-geoide\/\" target=\"_blank\" rel=\"noopener noreferrer\">geoide<\/a><\/span>.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Lembre-se que o <strong>geoide<\/strong> possui como conceito:<\/span><\/p>\n<p style=\"text-align: center;\"><strong><span style=\"color: #000000; font-family: arial, helvetica, sans-serif; font-size: 20px;\">O n\u00edvel m\u00e9dio dos mares, suposto em equil\u00edbrio, prolongado para dentro dos continente e sobre a influ\u00eancia da massa da terra e da for\u00e7a da gravidade.<\/span><\/strong><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Resumindo, \u00e9 esta figurinha:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"> Por\u00e9m, \u00e9 importante que voc\u00ea saiba que esta figura \u00e9 um modelo exagerado que possui como intuito ajudar as pessoas a entenderem melhor o que \u00e9 um geoide.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Esta forma geoidal \u00e9 a forma que mais se aproxima a forma real do planeta. S\u00f3 existia um problema, o posicionamento sobre a mesma necessitava da utiliza\u00e7\u00e3o de formulas matem\u00e1ticas complexas.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Com isso os <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/topografia-e-geodesia-conceitos-e-aplicacoes\/\" style=\"color: #0000ff;\">geodesistas<\/a><\/span> perceberam que precisavam criar uma forma mais simples. Uma forma matem\u00e1tica que fosse mais f\u00e1cil de ser utilizada pelos profissionais.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Foi ent\u00e3o que foi criado o elipsoide de revolu\u00e7\u00e3o.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-3666\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/elipsoide.png\" alt=\"elipsoide de revolu\u00e7\u00e3o\" width=\"503\" height=\"426\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/elipsoide.png 503w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/elipsoide-300x254.png 300w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Na <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/geodesia-conceito-objetivos-e-aplicacoes\/\">Geod\u00e9sia<\/a><\/span>, o elipsoide de revolu\u00e7\u00e3o \u00e9 o modelo geom\u00e9trico utilizado para a realiza\u00e7\u00e3o dos c\u00e1lculos geod\u00e9sicos.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O mesmo pode ser definido como a forma geom\u00e9trica gerada pela rota\u00e7\u00e3o de uma semi-el\u00edpse em torno de um de seus eixos (<span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/www.ufrgs.br\/lageo\/calculos\/inicial.html\" target=\"_blank\" rel=\"noopener noreferrer\">LAGEO &#8211; UFRGS<\/a><\/span>).<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Um elipsoide de revolu\u00e7\u00e3o fica perfeitamente definido por meio de dois par\u00e2metro. S\u00e3o eles:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Semi-eixo menor (tamb\u00e9m conhecido como achatamento);<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Semi-eixo maior.<\/span><\/li>\n<\/ul>\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; line-height: 1.3;\">Elipsoide de revolu\u00e7\u00e3o &#8211; Achatamento<\/span><\/strong><\/span><\/h3>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O achatamento de um elipsoide de revolu\u00e7\u00e3o \u00e9 a rela\u00e7\u00e3o:<\/span><\/p>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"alignleft\" src=\"https:\/\/www.ufrgs.br\/lageo\/calculos\/2.JPG\" border=\"2\" title=\"\" alt=\"\" \/><\/span><\/p>\n<p>&nbsp;<\/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; line-height: 1.3;\">Excentricidade<\/span><\/strong><\/span><\/h3>\n<p style=\"text-align: left;\"><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A excentricidade de um elipsoide de revolu\u00e7\u00e3o nada mais \u00e9 do que a propor\u00e7\u00e3o entre a diferen\u00e7a de comprimento dos semi-eixos de uma elipse e o semi-eixo maior.<\/span><\/p>\n<p align=\"center\"><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"alignleft\" src=\"https:\/\/www.ufrgs.br\/lageo\/calculos\/3.JPG\" border=\"2\" title=\"\" alt=\"\" \/><\/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; line-height: 1.3;\">Grande Normal (N)<\/span><\/strong><\/span><\/h3>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4740\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/grande_normal.jpg\" alt=\"grande_normal\" width=\"705\" height=\"490\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/grande_normal.jpg 705w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/grande_normal-300x209.jpg 300w\" sizes=\"(max-width: 705px) 100vw, 705px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Denomina-se de grande normal o segmento de reta que une o ponto H&#8217; ao ponto H na figura acima. <\/span><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">Para calcular a grande normal, faz-se uso da equa\u00e7\u00e3o da elipse.<\/span><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" src=\"https:\/\/www.ufrgs.br\/lageo\/calculos\/16.JPG\" width=\"137\" height=\"51\" border=\"2\" title=\"\" alt=\"\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Al\u00e9m da excentricidade e da grande normal, existem mais alguns par\u00e2metros que s\u00e3o calculados na geod\u00e9sia. S\u00e3o eles:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Pequena normal (N&#8217;);<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Raio de curvatura da se\u00e7\u00e3o meridiana;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Raio de curvatura da se\u00e7\u00e3o paralela;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Raio de curvatura do paralelo;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Comprimento de um arco de paralelo e;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Comprimento de um arco de meridiano.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Os diferentes c\u00e1lculos realizados na <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/geodesia-geometrica-o-que-e-e-suas-aplicacoes\/\" style=\"color: #0000ff;\">Geod\u00e9sia<\/a><\/span> e que geraram as f\u00f3rmulas mostradas neste artigo podem serem visualizados no <a style=\"color: #000000;\" href=\"https:\/\/www.ufrgs.br\/lageo\/calculos\/inicial.html\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"color: #0000ff;\">site da UFRGS<\/span>.<\/a><\/span><\/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; line-height: 1.3;\">Elipsoide de revolu\u00e7\u00e3o &#8211; Da necessidade de diferentes referenciais geod\u00e9sicos<\/span><\/strong><\/span><\/h2>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter wp-image-4751 size-large\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoides-780x453.png\" alt=\"elipsoide\" width=\"780\" height=\"453\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoides-780x453.png 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoides-300x174.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoides-768x446.png 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/elipsoides.png 850w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Ao possu\u00edrem somente 2 fatores, os elipsoides de revolu\u00e7\u00e3o acabam se adequando melhor a determinada por\u00e7\u00e3o da superf\u00edcie terrestre.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"> Isso fez com que ao longo do tempo os geodesistas e <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/educalingo.com\/pt\/dic-pt\/cartografo\" target=\"_blank\" rel=\"noopener noreferrer\">cart\u00f3grafos<\/a><\/span> precisassem adotar diferentes elipsoides de revolu\u00e7\u00e3o para diferentes por\u00e7\u00f5es do globo terrestre.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Veja na imagem abaixo os elipsoides de revolu\u00e7\u00e3o mais utilizados ao longo do tempo.<\/span><\/p>\n<p><img decoding=\"async\" class=\"size-large wp-image-4748 aligncenter\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Elipsoidesusadosaolongodotempo-780x585.jpg\" alt=\"Elipsoides usados ao longo do tempo\" width=\"780\" height=\"585\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Elipsoidesusadosaolongodotempo-780x585.jpg 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Elipsoidesusadosaolongodotempo-300x225.jpg 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Elipsoidesusadosaolongodotempo-768x576.jpg 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/Elipsoidesusadosaolongodotempo.jpg 1024w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/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; line-height: 1.3;\">A diferen\u00e7a entre elipsoide de revolu\u00e7\u00e3o e datum<\/span><\/strong><\/span><\/h2>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter size-large wp-image-4752\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/datum-e-elips\u00f3ide-1024x768.jpg\" alt=\"datum e elipsoide de revolu\u00e7\u00e3o\" width=\"1024\" height=\"768\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A palavra <strong>datum<\/strong> teve sua origem no latim e <strong>significa detalhe<\/strong>.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Na realidade, um <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/datum-o-que-e-e-para-que-serve\/\">datum<\/a><\/span> nada mais \u00e9 do que um modelo matem\u00e1tico te\u00f3rico que representa a superf\u00edcie da terra. Desta maneira, <strong>um datum possui 3 par\u00e2metros<\/strong>, s\u00e3o eles:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Um ponto de amarra\u00e7\u00e3o;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Um norte (orienta\u00e7\u00e3o);<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Um elipsoide de revolu\u00e7\u00e3o.<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O surgimento do datum foi necess\u00e1rio justamente pela necessidade de se amarrar as diferentes superf\u00edcies existentes:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/geoide\/\">Geoide<\/a><\/span>;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Elipsoide de revolu\u00e7\u00e3o e;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Superf\u00edcie f\u00edsica.<\/span><\/li>\n<\/ul>\n<p>\n<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\/NBR14166.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">NBR 14.166<\/a><\/span>, em sua contracapa traz uma imagem que ajudar\u00e1 voc\u00ea a entender melhor estas superf\u00edcies.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter size-large wp-image-3664\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/nbr-14.166-datum-elipsoide-780x509.png\" alt=\"elips\u00f3ide de revolu\u00e7\u00e3o, superf\u00edscie f\u00edsica e ge\u00f3ide\" width=\"780\" height=\"509\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/nbr-14.166-datum-elipsoide-780x509.png 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/nbr-14.166-datum-elipsoide-300x196.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/nbr-14.166-datum-elipsoide-768x501.png 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/nbr-14.166-datum-elipsoide.png 1167w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"> Perceba que conforme falei, existe a superf\u00edcie f\u00edsica, o geoide e o elipsoide de revolu\u00e7\u00e3o.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Al\u00e9m disso, existe a <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/www.ufrgs.br\/lageo\/calculos\/conceitos.html\" target=\"_blank\" rel=\"noopener noreferrer\">altitude geom\u00e9trica<\/a><\/span>, que \u00e9 a altitude <strong>em rela\u00e7\u00e3o ao elipsoide de revolu\u00e7\u00e3o<\/strong> e a <strong>altitude ortom\u00e9trica<\/strong> que \u00e9 <strong>em rela\u00e7\u00e3o ao geoide<\/strong>.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Diante da exist\u00eancia destas superf\u00edcies, o problema enfrentado pelos Geodesistas era como amarar as mesmas.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Por exemplo, a altitude obtida com <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"http:\/\/adenilsongiovanini.com.br\/blog\/receptor-gnss-quando-utilizar\/\" target=\"_blank\" rel=\"noopener noreferrer\">receptores GNSS<\/a><\/span> \u00e9 em rela\u00e7\u00e3o ao elipsoide de revolu\u00e7\u00e3o, ou seja, <strong>altitude geom\u00e9trica<\/strong>. Por\u00e9m, a mesma n\u00e3o pode ser utilizada em obras de engenharia.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Isso porque em <strong>obras de engenharia deve-se utilizar a altitude ortom\u00e9trica<\/strong> que \u00e9 em rela\u00e7\u00e3o ao geoide.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Enfim, os geodesistas precisavam de alguma maneira amarrar as diferentes superf\u00edcies e altitudes existentes.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Foi neste contexto que os mesmos criaram o <strong>datum<\/strong>. Conforme expliquei anteriormente, um datum possui 3 par\u00e2metros. S\u00e3o eles:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Um elipsoide de revolu\u00e7\u00e3o;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Um ponto de amarra\u00e7\u00e3o que serve para amarar o elipsoide de revolu\u00e7\u00e3o a superf\u00edcie f\u00edsica e ao geoide;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">E um norte que faz com que o datum fique orientado de maneira certa.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-3939\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/datum.png\" alt=\"datum\" width=\"679\" height=\"385\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/datum.png 679w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/datum-300x170.png 300w\" sizes=\"(max-width: 679px) 100vw, 679px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Perceba que \u00e9 por isso que quando se utiliza um software de Geoprocessamento, o que se faz \u00e9 a transforma\u00e7\u00e3o, por exemplo, do <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/sad69\/\">datum SAD 69<\/a><\/span> para o <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/sirgas-2000\/\">datum SIRGAS 2000<\/a><\/span>!<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">E n\u00e3o do elipsoide de revolu\u00e7\u00e3o sad 69 para o elipsoide de revolu\u00e7\u00e3o SIRGAS 2000.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Perceba que o elipsoide de revolu\u00e7\u00e3o \u00e9 apenas um dos par\u00e2metros que comp\u00f5em o datum.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><strong>Detalhe at\u00edpico<\/strong>: O plural da palavra datum \u00e9 data e n\u00e3o &#8220;datuns&#8221;, como a regra geral nos induz a acreditar.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Por exemplo:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">&#8220;Os data SAD 69 e SIRGAS 2000 s\u00e3o geoc\u00eantricos&#8221;.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><strong>Elipsoide de revolu\u00e7\u00e3o &#8211; Principais data existentes<\/strong><\/span><\/h3>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4753\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/coordtrans-datum-shifts11.gif\" alt=\"elipsoide de revolu\u00e7\u00e3o - Principais data existentes\" width=\"366\" height=\"229\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Ap\u00f3s a cria\u00e7\u00e3o do conceito datum, surgiu um problema secund\u00e1rio, o mesmo utiliza um elipsoide de base, que possui apenas 2 par\u00e2metros.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Com isso, ao se configurar os par\u00e2metros para que o datum se adeque mais a determinada por\u00e7\u00e3o da superf\u00edcie terrestre, em outros locais o mesmo ficava muito distante da superf\u00edcie.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Ou seja, acontecia algo parecido com um cobertor de pobre.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Imagine esta cena:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Uma pessoa grande tentando se cobrir com um cobertor menor do que ela. Se a mesma cobrir os p\u00e9s descobre a cabe\u00e7a, se cobrir a cabe\u00e7a, descobre os p\u00e9s.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Ou seja, com isso surgiram diferentes data, cada um se adequando mais a determinado continente ou pais.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A \u00fanica exce\u00e7\u00e3o \u00e9 o WGS84 que tenta se adequar o melhor poss\u00edvel a todo o planeta. Ou seja, mundialmente falando, existem v\u00e1rios DATA (plural de DATUM).<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Veja na imagem abaixo os data SAD69 Alegre e <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/wgs-84-historia-parametros-e-versoes\/\" style=\"color: #0000ff;\">WGS84<\/a><\/span>.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter wp-image-3673 size-large\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/sad-69-e-sirgas-WGS-84-780x348.jpeg\" alt=\"elipsoide de revolu\u00e7\u00e3o - sad 69 e sirgas WGS 84\" width=\"780\" height=\"348\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/sad-69-e-sirgas-WGS-84-780x348.jpeg 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/sad-69-e-sirgas-WGS-84-300x134.jpeg 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/sad-69-e-sirgas-WGS-84-768x343.jpeg 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/sad-69-e-sirgas-WGS-84.jpeg 824w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Perceba que o SAD 69 foi configurado sob medida para o Brasil, enquanto o WGS 84 tenta se adequar a todo o planeta.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Por\u00e9m, no Brasil tr\u00eas data foram oficialmente reconhecidos pelo <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/www.ibge.gov.br\/geociencias\/modelos-digitais-de-superficie\/modelos-digitais-de-superficie\/10855-modelo-de-ondulacao-geoidal.html?=&amp;t=o-que-e\" target=\"_blank\" rel=\"noopener noreferrer\">IBGE<\/a><\/span> (Instituto Brasileiro de Geografia e Estat\u00edstica) e utilizados por algum per\u00edodo.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><strong>C\u00f3rrego Alegre (Sistema Geod\u00e9sico C\u00f3rrego Alegre)<\/strong><\/span><\/h3>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4755\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/c\u00f3rrego-alegre.jpg\" alt=\"c\u00f3rrego alegre\" width=\"400\" height=\"405\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/c\u00f3rrego-alegre.jpg 400w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/c\u00f3rrego-alegre-296x300.jpg 296w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/corrego-alegre\/\">c\u00f3rrego alegre<\/a><\/span> foi adotado na d\u00e9cada de 50, tendo como par\u00e2metros:<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000; font-family: arial, helvetica, sans-serif; font-size: 20px;\">Ponto de amarra\u00e7\u00e3o: O ponto C\u00f3rrego Alegre;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Elipsoide (superf\u00edcie de refer\u00eancia): elipsoide Internacional de Hayford de 1924<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Orienta\u00e7\u00e3o: Determinada astronomicamente.<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><strong>SAD69<\/strong><\/span><\/h3>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter wp-image-4754 size-large\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/sad-69-780x518.png\" alt=\"sad 69\" width=\"780\" height=\"518\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/sad-69-780x518.png 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/sad-69-300x199.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/sad-69-768x510.png 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/sad-69-360x240.png 360w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/sad-69.png 850w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/www.ibge.gov.br\/\">IBGE<\/a><\/span> atrav\u00e9s de PDF dispon\u00edvel em seu site, tr\u00e1s as seguintes informa\u00e7\u00f5es a respeito do SAD 69.<\/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;\">\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O SAD69 \u00e9 um sistema geod\u00e9sico regional de concep\u00e7\u00e3o cl\u00e1ssica. A sua utiliza\u00e7\u00e3o pelos pa\u00edses Sul-americanos foi recomendada em 1969 atrav\u00e9s da aprova\u00e7\u00e3o do relat\u00f3rio final do Grupo de Trabalho sobre o Datum Sul-americano, pelo Comit\u00ea de Geod\u00e9sia reunido na XI Reuni\u00e3o Panamericana de Consulta sobre Cartografia, recomenda\u00e7\u00e3o n\u00e3o seguida pela totalidade dos pa\u00edses do continente. Apenas em 1979 ele foi oficialmente adotado como sistema de refer\u00eancia para trabalhos geod\u00e9sicos e cartogr\u00e1ficos desenvolvidos em territ\u00f3rio brasileiro.<\/span><\/p>\n<\/blockquote>\n<p>\n<span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><strong>Fonte<\/strong>: <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"ftp:\/\/geoftp.ibge.gov.br\/informacoes_sobre_posicionamento_geodesico\/sirgas\/sisref_2.pdf\">ftp:\/\/geoftp.ibge.gov.br\/informacoes_sobre_posicionamento_geodesico\/sirgas\/sisref_2.pdf<\/a> <\/span>Par\u00e2metros do SAD 69:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><strong>Elipsoide:<\/strong> elipsoide do <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/sistemas-geodesicos-de-referencia\/\" style=\"color: #0000ff;\">sistema geod\u00e9sico de refer\u00eancia<\/a><\/span> GRS-67, aceito e recomendado pela UGGI, em Lucerna, no ano de 1967.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><strong>Ponto de amarra\u00e7\u00e3o:<\/strong> V\u00e9rtice chu\u00e1.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><strong>Orienta\u00e7\u00e3o<\/strong>: Azimute geod\u00e9sico da dire\u00e7\u00e3o inicial Chu\u00e1-Uberaba (\u03be=0.31 \u03b7=-3.52 N=0 m)<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><strong>Origem<\/strong>: topoc\u00eantrico<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><strong>SIRGAS 2000<\/strong><\/span><\/h3>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-4756\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/sirgas-2000.png\" alt=\"sirgas 2000\" width=\"640\" height=\"498\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/sirgas-2000.png 640w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/sirgas-2000-300x233.png 300w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O SIRGAS 2000 (Sistema de Refer\u00eancia Geoc\u00eantrico para as Am\u00e9ricas) foi definido pelo IBGE como o Sistema Geod\u00e9sico Brasileiro.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">O mesmo foi criado em outubro de 1993 e possui como principal objetivo estabelecer um sistema de refer\u00eancia geoc\u00eantrico para a Am\u00e9rica do Sul.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">As constantes do mesmo s\u00e3o id\u00eanticas \u00e0s do WGS 84, sendo que o mesmo possui origem geoc\u00eantrica.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Na imagem abaixo voc\u00ea pode ver os par\u00e2metros de <span style=\"color: #0000ff;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/blog\/transformacao-de-coordenadas-o-guia-definitivo\/\" style=\"color: #0000ff;\">transforma\u00e7\u00e3o entre os diferentes data<\/a><\/span>:<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000;\"><img decoding=\"async\" class=\"aligncenter wp-image-3670 size-large\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/Par\u00e2metros-de-transforma\u00e7\u00e3o-entre-os-diferentes-data-780x417.png\" alt=\"elipsoide de revolu\u00e7\u00e3o - Par\u00e2metros de transforma\u00e7\u00e3o entre os diferentes data\" width=\"780\" height=\"417\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/Par\u00e2metros-de-transforma\u00e7\u00e3o-entre-os-diferentes-data-780x417.png 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/Par\u00e2metros-de-transforma\u00e7\u00e3o-entre-os-diferentes-data-300x161.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/Par\u00e2metros-de-transforma\u00e7\u00e3o-entre-os-diferentes-data-768x411.png 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/Par\u00e2metros-de-transforma\u00e7\u00e3o-entre-os-diferentes-data.png 1168w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><span style=\"font-size: 24px; font-family: arial, helvetica, sans-serif; color: #000000;\"><strong>Elipsoide de revolu\u00e7\u00e3o &#8211; Materializa\u00e7\u00e3o do datum<\/strong><\/span><\/h2>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter size-large wp-image-4757\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/materializa\u00e7\u00e3o-do-datum-768x1024.jpg\" alt=\"elipsoide de revolu\u00e7\u00e3o - materializa\u00e7\u00e3o do datum\" width=\"768\" height=\"1024\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/materializa\u00e7\u00e3o-do-datum-768x1024.jpg 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/materializa\u00e7\u00e3o-do-datum-225x300.jpg 225w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/materializa\u00e7\u00e3o-do-datum-585x780.jpg 585w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/materializa\u00e7\u00e3o-do-datum-1152x1536.jpg 1152w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/materializa\u00e7\u00e3o-do-datum-1536x2048.jpg 1536w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/12\/materializa\u00e7\u00e3o-do-datum.jpg 1920w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">A materializa\u00e7\u00e3o do datum se d\u00e1 atrav\u00e9s do estabelecimento de uma rede de <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/marcos-geodesicos-quais-os-tipos-existentes\/\">esta\u00e7\u00f5es geod\u00e9sicas<\/a><\/span> implantadas e pelo IBGE.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Estas esta\u00e7\u00f5es possuem com coordenadas tridimensionais estabelecidas atrav\u00e9s de t\u00e9cnicas de posicionamento espacial de alta precis\u00e3o.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Utilizando-se do <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/posicionamento-pelo-gnss-georreferenciamento\/\">posicionamento pelo GNSS<\/a><\/span>, o IBGE implantou uma s\u00e9rie destas esta\u00e7\u00f5es estrategicamente distribu\u00eddas ao longo do territ\u00f3rio nacional.<\/span><\/p>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Veja na imagem abaixo um exemplo de marco implantado pelo IBGE.<\/span><\/p>\n<p><span style=\"font-size: 20px;\"><img decoding=\"async\" class=\"aligncenter wp-image-3672\" src=\"http:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2019\/11\/Marco-geod%C3%A9sico.jpg\" alt=\"Marco geod\u00e9sico\" width=\"758\" height=\"651\"><\/span><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><strong><span style=\"font-size: 24px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Datum planim\u00e9trico e datum altim\u00e9trico<\/span><\/strong><\/h2>\n<p><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Na realidade existem 2 tipos de data:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/datum-planimetrico-o-que-e-caracteristicas-e-especificidades\/\">Datum planim\u00e9trico<\/a><\/span> e;<\/span><\/li>\n<li><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/datum-planimetrico-e-datum-altimetrico\/\">Datum altim\u00e9trico<\/a><\/span>.<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: center;\"><strong><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\">Datum planim\u00e9trico<\/span><\/strong><\/h3>\n<p>&nbsp;<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-5118 size-large\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2020\/01\/sistemas-de-referencia-datum-e-de-coordenadas-780x219.jpg\" alt=\"sistema de refer\u00eancia\" width=\"780\" height=\"219\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2020\/01\/sistemas-de-referencia-datum-e-de-coordenadas-780x219.jpg 780w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2020\/01\/sistemas-de-referencia-datum-e-de-coordenadas-300x84.jpg 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2020\/01\/sistemas-de-referencia-datum-e-de-coordenadas-768x215.jpg 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2020\/01\/sistemas-de-referencia-datum-e-de-coordenadas.jpg 820w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">O <em><strong>datum planim\u00e9trico<\/strong><\/em> \u00e9 o ponto de refer\u00eancia geod\u00e9sico inicial, que representa a base dos levantamentos horizontais. O mesmo <\/span><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">\u00e9 definido por um conjunto de par\u00e2metros, sendo um ponto de refer\u00eancia para todos os levantamentos cartogr\u00e1ficos sobre uma determinada \u00e1rea. <\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"><span style=\"font-size: 20px; font-family: arial, helvetica, sans-serif; color: #000000; line-height: 1.3;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/datum-planimetrico-o-que-e-caracteristicas-e-especificidades\/\">Neste artigo<\/a><\/span> eu abordo o tema de maneira detalhada.<\/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;\">Datum Altim\u00e9trico<\/span><\/strong><\/span><\/h3>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">O <strong>datum altim\u00e9trico<\/strong> \u00e9 a superf\u00edcie formada pelo n\u00edvel m\u00e9dio do mar, definida atrav\u00e9s de um <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/www.dicio.com.br\/mareografo\/\">mare\u00f3grafo<\/a><\/span> est\u00e1vel, a partir de longos per\u00edodos de observa\u00e7\u00e3o para estabelecer a altitude zero.<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">No Brasil, o ponto de origem do datum altim\u00e9trico situa-se em Imbituba, Santa Catarina, uma vez que neste local o n\u00edvel m\u00e9dio do mar apresenta menor varia\u00e7\u00e3o.<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"> Na imagem abaixo, voc\u00ea pode ver fotos da r\u00e9gua e do mar\u00e9grafo que est\u00e3o no Porto de Imbituba.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-19643\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Regua-do-mareografo-de-imbituba.jpg\" alt=\"datum planim\u00e9trico e datum altim\u00e9trico - r\u00e9gua do mare\u00f3grafo de imbituba\" width=\"640\" height=\"367\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Regua-do-mareografo-de-imbituba.jpg 640w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Regua-do-mareografo-de-imbituba-300x172.jpg 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Regua-do-mareografo-de-imbituba-320x184.jpg 320w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Regua-do-mareografo-de-imbituba-360x206.jpg 360w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-19644\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/mareografo-de-imbituba.jpg\" alt=\"mare\u00f3grafo de imbituba\" width=\"640\" height=\"480\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/mareografo-de-imbituba.jpg 640w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/mareografo-de-imbituba-300x225.jpg 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/mareografo-de-imbituba-320x240.jpg 320w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/mareografo-de-imbituba-360x270.jpg 360w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-large wp-image-19645\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-683x1024.jpg\" alt=\"mare\u00f3grafo em imbituba\" width=\"683\" height=\"1024\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-683x1024.jpg 683w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-200x300.jpg 200w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-768x1152.jpg 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-1024x1536.jpg 1024w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-1365x2048.jpg 1365w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-320x480.jpg 320w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-640x960.jpg 640w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-360x540.jpg 360w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-720x1080.jpg 720w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-1080x1620.jpg 1080w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-800x1200.jpg 800w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-1280x1920.jpg 1280w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/Mareografo-scaled.jpg 1707w\" sizes=\"(max-width: 683px) 100vw, 683px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\"> Pr\u00f3ximo ao mar\u00e9grafo, em local seguro existe um marco topogr\u00e1fico, que \u00e9 o ponto de origem da <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/blog\/altimetrica-diferenca-entre-cota-e-altitude\/\">rede altim\u00e9trica<\/a><\/span> (RN 4X), sendo que o mesmo possui 8,6362 metros em rela\u00e7\u00e3o ao n\u00edvel m\u00e9dio do mar local.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-19646\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/marco-zero-em-imbituba.jpg\" alt=\"datum planim\u00e9trico e datum altim\u00e9trico - marco dzero em imbituba\" width=\"800\" height=\"417\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/marco-zero-em-imbituba.jpg 800w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/marco-zero-em-imbituba-300x156.jpg 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/marco-zero-em-imbituba-768x400.jpg 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/marco-zero-em-imbituba-320x167.jpg 320w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/marco-zero-em-imbituba-640x334.jpg 640w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/marco-zero-em-imbituba-360x188.jpg 360w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/marco-zero-em-imbituba-720x375.jpg 720w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>&nbsp;<\/p>\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;\">Clique <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/top-cadastral\/\">neste link<\/a><\/span> e conhe\u00e7a melhor o mesmo. <\/span><\/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<p>&nbsp;<\/p>\n<h2 style=\"text-align: center;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000; font-size: 24px;\"><strong>Domine a Topografia Cadastral atrav\u00e9s de um livro formado por centenas de exemplos pr\u00e1ticos <\/strong><\/span><\/h2>\n<h2 style=\"text-align: center;\"><span style=\"font-size: 20px;\"><a href=\"https:\/\/adenilsongiovanini.com.br\/georreferenciamento-de-imoveis-rurais-na-pratica\/\" rel=\"nofollow noreferrer\"><img decoding=\"async\" class=\"aligncenter size-large wp-image-19317\" src=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-1024x474.png\" sizes=\"(max-width: 1024px) 100vw, 1024px\" srcset=\"https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-1024x474.png 1024w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-300x139.png 300w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-768x355.png 768w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-1536x711.png 1536w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-320x148.png 320w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-640x296.png 640w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-360x167.png 360w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-720x333.png 720w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-1080x500.png 1080w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-800x370.png 800w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento-1280x592.png 1280w, https:\/\/adenilsongiovanini.com.br\/blog\/wp-content\/uploads\/2021\/04\/livro-de-topografia-e-georreferenciamento.png 1565w\" alt=\"livro de topografia e georreferenciamento\" width=\"1024\" height=\"474\"><\/a><\/span><\/h2>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Voc\u00ea quer dominar a Topografia Cadastral?<\/span><\/p>\n<p><span style=\"font-family: arial, helvetica, sans-serif; font-size: 20px; color: #000000;\">Ent\u00e3o eu tenho uma \u00f3tima noticia para voc\u00ea. Me refiro ao <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/adenilsongiovanini.com.br\/georreferenciamento-de-imoveis-rurais-na-pratica\/\" rel=\"nofollow noreferrer\">livro Topografia Cadastral e Georreferenciamento de Im\u00f3veis Rurais na Pr\u00e1tica<\/a><\/span>.<\/span><\/p>\n<p><span style=\"font-size: 20px;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #000000;\">O mesmo \u00e9 dividido em 10 cap\u00edtulos recheados com muitos estudos de caso e exemplos pr\u00e1ticos. D\u00ea uma espiadinha no sum\u00e1rio do mesmo:<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><center><iframe width=\"99%\" height=\"980\" src=\"https:\/\/drive.google.com\/file\/d\/1HJ8fZz1PvPmftfXHJNFTvIBBzY_FZhPJ\/preview\"><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">\ufeff<\/span><\/iframe><\/center><\/p>\n<p>&nbsp;<\/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 mais de 800 profissionais e adquirir sua c\u00f3pia \u00e9 s\u00f3 clicar no bot\u00e3o abaixo:<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000; font-size: 20px;\"><div class=\"su-button-center\"><a href=\"https:\/\/adenilsongiovanini.com.br\/georreferenciamento-de-imoveis-rurais-na-pratica\/\" 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 Legisla\u00e7\u00e3o Cadastral e Geo. de Im\u00f3veis Rurais<\/span><\/a><\/div><\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Antes de entendermos exatamente o que \u00e9 o elipsoide de revolu\u00e7\u00e3o, \u00e9 importante que voc\u00ea saiba que existe o elipsoide e o elipsoide de revolu\u00e7\u00e3o, sendo que na geod\u00e9sia utiliza-se o elipsoide de revolu\u00e7\u00e3o de revolu\u00e7\u00e3o para definir-se a forma da terra. Por causa disso, precisaremos primeiramente entender o que [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":19735,"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":[53,9],"tags":[],"class_list":["post-26151","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cartografia","category-topografia-cadastral"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Elipsoide de Revolu\u00e7\u00e3o: o Que \u00e9? - Adenilson Giovanini<\/title>\n<meta name=\"description\" content=\"Descubra o que \u00e9 um elipsoide de revolu\u00e7\u00e3o, quais seus par\u00e2metros e quais os elipsoides de revolu\u00e7\u00e3o mais utilizados. 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