{"id":7661,"date":"2019-09-02T08:56:30","date_gmt":"2019-09-02T11:56:30","guid":{"rendered":"https:\/\/www.antonioguilherme.web.br.com\/blog\/?page_id=7661"},"modified":"2023-05-03T09:25:44","modified_gmt":"2023-05-03T12:25:44","slug":"catenaria","status":"publish","type":"page","link":"https:\/\/www.antonioguilherme.web.br.com\/blog\/materiais-eletricos-e-magneticos\/propriedades-mecanicas-2\/catenaria\/","title":{"rendered":"Caten\u00e1ria"},"content":{"rendered":"\r\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\r\n<div style=\"text-align: right;\"><span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">&#8220;<em><strong>A linha reta pertence aos homens, as curvas a Deus.&#8221;<\/strong><\/em><\/span><\/div>\r\n<div style=\"text-align: right;\"><a href=\"https:\/\/www.brainyquote.com\/quotes\/antoni_gaudi_610682\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">Antoni Gaudi &#8211; Arquiteto Espanhol<\/span><\/a><\/div>\r\n<\/figure>\r\n<figure><\/figure>\r\n<figure><\/figure>\r\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><span style=\"font-family: verdana, geneva, sans-serif;\">Observem que os cabos de linhas de transmiss\u00e3o apresentam uma \u201cbarriga\u201d, que se denomina de caten\u00e1ria.<\/span><\/figure>\r\n<figure><\/figure>\r\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><span style=\"font-family: verdana, geneva, sans-serif;\">A forma dessa barriga depende dos seguintes fatores:<\/span><\/figure>\r\n\r\n\r\n\r\n<ul>\r\n<li style=\"list-style-type: none;\">\r\n<ul style=\"list-style-type: circle;\">\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\"> <\/span><span style=\"font-family: verdana, geneva, sans-serif;\">Peso do cabo;\u00a0<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Comprimento do cabo;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Material do cabo;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Temperatura do cabo;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Dist\u00e2ncia entre as torres;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Altura das torres;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">Tra\u00e7\u00e3o no cabo.<\/span><\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\"><!-- \/wp:post-content -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Quem fez o\u00a0<a href=\"http:\/\/www.antoniolima.web.br.com\/Aulas\/Trabalhos\/Entradas\/2013\/4\/12_Cabos.html\" target=\"_blank\" rel=\"noopener\">trabalho de cabos<\/a>, encontrou uma express\u00e3o do segundo grau para aproximar os pontos medidos.\u00a0<\/span><span style=\"font-family: verdana, geneva, sans-serif;\">Contudo, como podemos obter a equa\u00e7\u00e3o do cabo utilizando a f\u00edsica e a matem\u00e1tica?<\/span><\/p>\r\n<h2 id='f\u00f3rmula-da-caten\u00e1ria'  id=\"boomdevs_1\"><span style=\"font-family: verdana, geneva, sans-serif;\">F\u00f3rmula da Caten\u00e1ria<\/span><\/h2>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Este problema matem\u00e1tico foi proposto por <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Jakob_Bernoulli\" target=\"_blank\" rel=\"noopener\">Jacob Bernoulli<\/a> em 1690, mas anteriormente Galileu Galilei havia sugerido que a curva seria uma par\u00e1bola. Portanto, fiquem felizes se os resultados obtidos por voc\u00eas neste trabalho foram equa\u00e7\u00f5es de segundo grau, voc\u00eas chegaram ao mesmo resultado que Galileu.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Contudo, somente em 1691 <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Johann_Bernoulli\" target=\"_blank\" rel=\"noopener\">Johan Bernoulli<\/a>, irm\u00e3o de Jacob Bernoulli, apresentou a solu\u00e7\u00e3o para este problema. Na \u00e9poca, esta demonstra\u00e7\u00e3o representou enorme avan\u00e7o matem\u00e1tico, mas hoje n\u00e3o passa de um exerc\u00edcio de c\u00e1lculo do ciclo b\u00e1sico.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\"><!-- \/wp:paragraph -->\r\n\r\n<!-- wp:paragraph --><\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Considerando a refer\u00eancia dos eixos no ponto central do cabo e analisando o equil\u00edbrio de est\u00e1tico de for\u00e7as da Figura 1, teremos que a componente horizontal de T dever\u00e1 ser sempre igual a T<sub>o<\/sub>, e a componente vertical dever\u00e1 igualar ao peso do segmento do cabo.\u00a0<\/span><\/p>\r\n<figure id=\"attachment_22339\" aria-describedby=\"caption-attachment-22339\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria_new.png\"><img decoding=\"async\" class=\"wp-image-22339 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria_new.png\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria_new.png 800w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria_new-300x225.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria_new-768x576.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/a><figcaption id=\"caption-attachment-22339\" class=\"wp-caption-text\">Figura 1. Cabo suspenso<\/figcaption><\/figure>\r\n<div><span style=\"font-family: verdana, geneva, sans-serif;\">A Equa\u00e7\u00e3o 1 apresenta este equil\u00edbrio de for\u00e7as.<\/span><\/div>\r\n<div>\r\n<figure id=\"attachment_22344\" aria-describedby=\"caption-attachment-22344\" style=\"width: 396px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_1.png\"><img decoding=\"async\" class=\"wp-image-22344 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_1.png\" alt=\"\" width=\"396\" height=\"148\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_1.png 396w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_1-300x112.png 300w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><\/a><figcaption id=\"caption-attachment-22344\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 1. Equil\u00edbrio de for\u00e7as no cabo<\/figcaption><\/figure>\r\n<\/div>\r\n<div>Onde:<\/div>\r\n<ul>\r\n<li style=\"list-style-type: none;\">\r\n<ul>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">T \u00e9 a tens\u00e3o no cabo[N];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u03b8 \u00e9 o \u00e2ngulo do cabo no ponto com rela\u00e7\u00e3o aos eixos de refer\u00eancia;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">T <sub>0\u00a0<\/sub>\u00e9 a tens\u00e3o horizontal no cabo na origem dos eixos [N];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u03c1 \u00e9 a massa espec\u00edfica do cabo [kg\/m<sup>3<\/sup>];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">A \u00e9 a \u00e1rea da se\u00e7\u00e3o reta do cabo[m<sup>2<\/sup>];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">g \u00e9 a acelera\u00e7\u00e3o da gravidade[m\/s<sup>2<\/sup>];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">s \u00e9 o comprimento infinitesimal do cabo[m].<\/span><\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<div><span style=\"font-family: verdana, geneva, sans-serif;\">Por\u00e9m, o produto da massa espec\u00edfica pela \u00e1rea resulta na massa por comprimento do cabo, que pode ser medida com maior facilidade.<\/span><\/div>\r\n<div><img decoding=\"async\" class=\"aligncenter wp-image-44153\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2023\/05\/catenaria_densidadelinear.png\" alt=\"\" width=\"482\" height=\"94\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2023\/05\/catenaria_densidadelinear.png 605w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2023\/05\/catenaria_densidadelinear-300x59.png 300w\" sizes=\"(max-width: 482px) 100vw, 482px\" \/><\/div>\r\n<div><span style=\"font-family: verdana, geneva, sans-serif;\">Pode-se obter a tangente do \u00e2ngulo \u03b8 pela divis\u00e3o das express\u00f5es da Equa\u00e7\u00e3o 1.<\/span><\/div>\r\n<div>\u00a0<\/div>\r\n<div>\r\n<figure id=\"attachment_22346\" aria-describedby=\"caption-attachment-22346\" style=\"width: 454px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_2.png\"><img decoding=\"async\" class=\"wp-image-22346 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_2.png\" alt=\"\" width=\"454\" height=\"94\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_2.png 454w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_2-300x62.png 300w\" sizes=\"(max-width: 454px) 100vw, 454px\" \/><\/a><figcaption id=\"caption-attachment-22346\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 2<\/figcaption><\/figure>\r\n<\/div>\r\n<div><span style=\"font-family: verdana, geneva, sans-serif;\">Derivando a Equa\u00e7\u00e3o 2 em rela\u00e7\u00e3o a x, obtemos a seguinte express\u00e3o<\/span><\/div>\r\n<div>\r\n<figure id=\"attachment_22347\" aria-describedby=\"caption-attachment-22347\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_3.png\"><img decoding=\"async\" class=\"wp-image-22347 size-medium\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_3-300x85.png\" alt=\"\" width=\"300\" height=\"85\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_3-300x85.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/catenaria_3.png 350w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-22347\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 3<\/figcaption><\/figure>\r\n<\/div>\r\n<div><span style=\"font-family: verdana, geneva, sans-serif;\">A partir do tri\u00e2ngulo verde na Figura 1, obt\u00eam-se a seguinte rela\u00e7\u00e3o:<\/span><\/div>\r\n<div>\r\n<figure id=\"attachment_42351\" aria-describedby=\"caption-attachment-42351\" style=\"width: 922px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-42351 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_4_1.png\" alt=\"\" width=\"922\" height=\"123\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_4_1.png 922w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_4_1-300x40.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_4_1-768x102.png 768w\" sizes=\"(max-width: 922px) 100vw, 922px\" \/><figcaption id=\"caption-attachment-42351\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 4<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Substituindo a Equa\u00e7\u00e3o 4 na Equa\u00e7\u00e3o 3, obtemos a seguinte rela\u00e7\u00e3o:<\/span><\/p>\r\n<p><img decoding=\"async\" class=\"aligncenter wp-image-42354\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_5_1.png\" alt=\"\" width=\"400\" height=\"97\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_5_1.png 675w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_5_1-300x72.png 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\r\n<p class=\"paragraph_style_1\"><span class=\"style\" style=\"font-family: verdana, geneva, sans-serif;\">Como resolver esta equa\u00e7\u00e3o diferencial?<br \/><\/span><\/p>\r\n<p class=\"paragraph_style_1\"><span class=\"style\" style=\"font-family: verdana, geneva, sans-serif;\">A dica consiste em usar o artif\u00edcio da substitui\u00e7\u00e3o de vari\u00e1veis. <\/span><\/p>\r\n<p class=\"paragraph_style_1\"><span class=\"style\" style=\"font-family: verdana, geneva, sans-serif;\">Cria-se uma vari\u00e1vel z, conforme a express\u00e3o abaixo, e substituindo na equa\u00e7\u00e3o (4), teremos que:<\/span><\/p>\r\n<\/div>\r\n<div>\r\n<figure id=\"attachment_39936\" aria-describedby=\"caption-attachment-39936\" style=\"width: 427px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/z_catenaria.png\"><img decoding=\"async\" class=\"wp-image-39936 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/z_catenaria.png\" alt=\"\" width=\"427\" height=\"231\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/z_catenaria.png 427w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/z_catenaria-300x162.png 300w\" sizes=\"(max-width: 427px) 100vw, 427px\" \/><\/a><figcaption id=\"caption-attachment-39936\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 6<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Rearrumando a equa\u00e7\u00e3o 6, obtemos que:<\/span><\/p>\r\n<figure id=\"attachment_39941\" aria-describedby=\"caption-attachment-39941\" style=\"width: 407px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_6.png\"><img decoding=\"async\" class=\"wp-image-39941 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_6.png\" alt=\"\" width=\"407\" height=\"101\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_6.png 407w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_6-300x74.png 300w\" sizes=\"(max-width: 407px) 100vw, 407px\" \/><\/a><figcaption id=\"caption-attachment-39941\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 7<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A solu\u00e7\u00e3o da Equa\u00e7\u00e3o 7 requer que os dois termos da express\u00e3o sejam iguais a uma constate. Consequentemente, integrando os dois termos teremos que:<span id='easy-footnote-1-7661' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/materiais-eletricos-e-magneticos\/propriedades-mecanicas-2\/catenaria\/#easy-footnote-bottom-1-7661\" title=\" Spiegel\"><sup>1<\/sup><\/a><\/span><\/span><\/p>\r\n<figure id=\"attachment_39944\" aria-describedby=\"caption-attachment-39944\" style=\"width: 587px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_7.png\"><img decoding=\"async\" class=\"size-full wp-image-39944\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_7.png\" alt=\"\" width=\"587\" height=\"243\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_7.png 587w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_7-300x124.png 300w\" sizes=\"(max-width: 587px) 100vw, 587px\" \/><\/a><figcaption id=\"caption-attachment-39944\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 8<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\"><span class=\"style\">As constantes C<\/span><span class=\"style_2\">1<\/span><span class=\"style\">\u00a0e C<\/span><span class=\"style_2\">2<\/span><span class=\"style\"> dependem das condi\u00e7\u00f5es iniciais do problema. Neste caso espec\u00edfico, de acordo com a Figura 1, as constantes C<\/span><span class=\"style_2\">1<\/span><span class=\"style\"> e C<\/span><span class=\"style_2\">2<\/span><span class=\"style\"> s\u00e3o iguais e a solu\u00e7\u00e3o se torna:<\/span><\/span><\/p>\r\n<figure id=\"attachment_39946\" aria-describedby=\"caption-attachment-39946\" style=\"width: 409px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_8.png\"><img decoding=\"async\" class=\"size-full wp-image-39946\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_8.png\" alt=\"\" width=\"409\" height=\"94\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_8.png 409w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_8-300x69.png 300w\" sizes=\"(max-width: 409px) 100vw, 409px\" \/><\/a><figcaption id=\"caption-attachment-39946\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 9<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Equa\u00e7\u00e3o 10 fornece o valor de z a partir da Equa\u00e7\u00e3o 9.<\/span><\/p>\r\n<figure id=\"attachment_39947\" aria-describedby=\"caption-attachment-39947\" style=\"width: 396px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_9.png\"><img decoding=\"async\" class=\"size-full wp-image-39947\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_9.png\" alt=\"\" width=\"396\" height=\"99\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_9.png 396w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_9-300x75.png 300w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><\/a><figcaption id=\"caption-attachment-39947\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 10<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A partir das Equa\u00e7\u00f5es 6 e 2, pode-se escrever que:<\/span><\/p>\r\n<figure id=\"attachment_39948\" aria-describedby=\"caption-attachment-39948\" style=\"width: 625px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_10.png\"><img decoding=\"async\" class=\"wp-image-39948 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_10.png\" alt=\"\" width=\"625\" height=\"99\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_10.png 625w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_10-300x48.png 300w\" sizes=\"(max-width: 625px) 100vw, 625px\" \/><\/a><figcaption id=\"caption-attachment-39948\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 11<\/figcaption><\/figure>\r\n<\/div>\r\n<div><span style=\"font-family: verdana, geneva, sans-serif;\">Portanto, o comprimento do cabo ser\u00e1 dado por:<\/span><\/div>\r\n<div>\u00a0<\/div>\r\n<div>\r\n<figure id=\"attachment_39950\" aria-describedby=\"caption-attachment-39950\" style=\"width: 557px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_11.png\"><img decoding=\"async\" class=\"size-full wp-image-39950\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_11.png\" alt=\"\" width=\"557\" height=\"99\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_11.png 557w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_11-300x53.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><\/a><figcaption id=\"caption-attachment-39950\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 12<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Levando em considera\u00e7\u00e3o a simetria da Figura 1, o comprimento total do cabo &#8211; S &#8211; ser\u00e1 dado por:<\/span><\/p>\r\n<figure id=\"attachment_42356\" aria-describedby=\"caption-attachment-42356\" style=\"width: 592px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-42356\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_12.png\" alt=\"\" width=\"592\" height=\"99\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_12.png 777w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_12-300x50.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2022\/02\/catenaria_12-768x128.png 768w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><figcaption id=\"caption-attachment-42356\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 13<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A constante abaixo possui dimens\u00e3o de comprimento e representa a for\u00e7a de tra\u00e7\u00e3o horizontal dividida pelo peso do cabo por unidade de comprimento.<\/span><\/p>\r\n<figure id=\"attachment_39952\" aria-describedby=\"caption-attachment-39952\" style=\"width: 144px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_13.png\"><img decoding=\"async\" class=\"wp-image-39952 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_13.png\" alt=\"\" width=\"144\" height=\"94\" \/><\/a><figcaption id=\"caption-attachment-39952\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 14<\/figcaption><\/figure>\r\n<\/div>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Para dist\u00e2ncias entre torres menores que esta constante, o cabo fica praticamente esticado e sem barriga. Por outro lado, para dist\u00e2ncias entre torres maiores, a barriga aumenta.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Obt\u00e9m-se a altura do cabo a partir da Equa\u00e7\u00e3o 15.<\/span><\/p>\r\n<figure id=\"attachment_39954\" aria-describedby=\"caption-attachment-39954\" style=\"width: 821px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_14.png\"><img decoding=\"async\" class=\"wp-image-39954 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_14.png\" alt=\"\" width=\"821\" height=\"249\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_14.png 821w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_14-300x91.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_14-768x233.png 768w\" sizes=\"(max-width: 821px) 100vw, 821px\" \/><\/a><figcaption id=\"caption-attachment-39954\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 15<\/figcaption><\/figure>\r\n<p class=\"paragraph_style_1\"><span class=\"style\" style=\"font-family: verdana, geneva, sans-serif;\">A constante C depende das condi\u00e7\u00f5es de contorno do problema espec\u00edfico. <\/span><span class=\"style\" style=\"font-family: verdana, geneva, sans-serif;\">No caso em quest\u00e3o e de acordo com a Figura 1, como y=0 pra x=0, a constante C ser\u00e1 dada por:<\/span><\/p>\r\n<figure id=\"attachment_39955\" aria-describedby=\"caption-attachment-39955\" style=\"width: 252px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_15.png\"><img decoding=\"async\" class=\"size-full wp-image-39955\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_15.png\" alt=\"\" width=\"252\" height=\"94\" \/><\/a><figcaption id=\"caption-attachment-39955\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 16<\/figcaption><\/figure>\r\n<div><span style=\"font-family: verdana, geneva, sans-serif;\">E a Equa\u00e7\u00e3o 17 fornece a altura do cabo -y.<\/span><\/div>\r\n<div>\r\n<figure id=\"attachment_40823\" aria-describedby=\"caption-attachment-40823\" style=\"width: 661px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/05\/y_catenaria.png\"><img decoding=\"async\" class=\"wp-image-40823 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/05\/y_catenaria.png\" alt=\"\" width=\"661\" height=\"99\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/05\/y_catenaria.png 661w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/05\/y_catenaria-300x45.png 300w\" sizes=\"(max-width: 661px) 100vw, 661px\" \/><\/a><figcaption id=\"caption-attachment-40823\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 17.<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Flexa m\u00e1xima, que corresponde \u00e0 altura da torre &#8211; H<sub>t<\/sub> &#8211; menos a dist\u00e2ncia y<sub>max<\/sub> , que se calcula pela Equa\u00e7\u00e3o 18.<\/span><\/p>\r\n<figure id=\"attachment_39959\" aria-describedby=\"caption-attachment-39959\" style=\"width: 755px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" class=\"wp-image-39959 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_17.png\" alt=\"\" width=\"755\" height=\"99\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_17.png 755w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenria_17-300x39.png 300w\" sizes=\"(max-width: 755px) 100vw, 755px\" \/><figcaption id=\"caption-attachment-39959\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 18<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">No caso geral de alturas de torre diferentes, mostrado na Figura 2, a altura da linha ser\u00e1 dada pela equa\u00e7\u00e3o 19.<\/span><\/p>\r\n<figure id=\"attachment_21886\" aria-describedby=\"caption-attachment-21886\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria.png\"><img decoding=\"async\" class=\"wp-image-21886 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria.png\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria.png 800w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria-300x225.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/09\/catenaria-768x576.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/a><figcaption id=\"caption-attachment-21886\" class=\"wp-caption-text\">Figura 2. Caso geral com torres de alturas diferentes<\/figcaption><\/figure>\r\n<\/div>\r\n<div>\r\n<figure id=\"attachment_39961\" aria-describedby=\"caption-attachment-39961\" style=\"width: 807px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral.png\"><img decoding=\"async\" class=\"wp-image-39961 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral.png\" alt=\"\" width=\"807\" height=\"96\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral.png 807w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral-300x36.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral-768x91.png 768w\" sizes=\"(max-width: 807px) 100vw, 807px\" \/><\/a><figcaption id=\"caption-attachment-39961\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 19<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\"><span class=\"style\">Considerando a altura da linha igual H<\/span><sub><span class=\"style_2\">a<\/span><\/sub><span class=\"style\"> para x=0 e H<sub>b<\/sub><\/span><span class=\"style_2\">\u00a0\u00a0<\/span><span class=\"style\">para x=D (dist\u00e2ncia entre as torres), teremos que:<\/span><\/span><\/p>\r\n<figure id=\"attachment_39963\" aria-describedby=\"caption-attachment-39963\" style=\"width: 533px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_2.png\"><img decoding=\"async\" class=\"size-full wp-image-39963\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_2.png\" alt=\"\" width=\"533\" height=\"42\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_2.png 533w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_2-300x24.png 300w\" sizes=\"(max-width: 533px) 100vw, 533px\" \/><\/a><figcaption id=\"caption-attachment-39963\" class=\"wp-caption-text\"><span style=\"font-family: verdana, geneva, sans-serif;\">Equa\u00e7\u00e3o 20. C\u00e1lculo de H<sub>a<\/sub><\/span><\/figcaption><\/figure>\r\n<figure id=\"attachment_39964\" aria-describedby=\"caption-attachment-39964\" style=\"width: 1678px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3.png\"><img decoding=\"async\" class=\"wp-image-39964\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3.png\" alt=\"\" width=\"1678\" height=\"96\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3.png 1678w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-300x17.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1024x59.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-768x44.png 768w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1536x88.png 1536w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1200x69.png 1200w\" sizes=\"(max-width: 1678px) 100vw, 1678px\" \/><\/a><figcaption id=\"caption-attachment-39964\" class=\"wp-caption-text\"><span style=\"font-family: verdana, geneva, sans-serif;\">Equa\u00e7\u00e3o 21. C\u00e1lculo de H<sub>b<\/sub><\/span><\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Substituindo o valor de A, obtido pela Equa\u00e7\u00e3o 20, na equa\u00e7\u00e3o 21, obt\u00e9m-se o valor de B.<\/span><\/p>\r\n<p><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1.png\"><img decoding=\"async\" class=\"size-full wp-image-39965\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1.png\" alt=\"\" width=\"1678\" height=\"96\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1.png 1678w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1-300x17.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1-1024x59.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1-768x44.png 768w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1-1536x88.png 1536w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_3-1-1200x69.png 1200w\" sizes=\"(max-width: 1678px) 100vw, 1678px\" \/><\/a><\/p>\r\n<figure id=\"attachment_39966\" aria-describedby=\"caption-attachment-39966\" style=\"width: 465px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_4.png\"><img decoding=\"async\" class=\"size-full wp-image-39966\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_4.png\" alt=\"\" width=\"465\" height=\"157\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_4.png 465w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_4-300x101.png 300w\" sizes=\"(max-width: 465px) 100vw, 465px\" \/><\/a><figcaption id=\"caption-attachment-39966\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 22<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Desta maneira, a equa\u00e7\u00e3o 23 fornece a altura do cabo em fun\u00e7\u00e3o de x e dos par\u00e2metros da linha.<\/span><\/p>\r\n<figure id=\"attachment_39968\" aria-describedby=\"caption-attachment-39968\" style=\"width: 1196px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_5.png\"><img decoding=\"async\" class=\"wp-image-39968 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_5.png\" alt=\"\" width=\"1196\" height=\"157\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_5.png 1196w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_5-300x39.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_5-1024x134.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_5-768x101.png 768w\" sizes=\"(max-width: 1196px) 100vw, 1196px\" \/><\/a><figcaption id=\"caption-attachment-39968\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 23 Altura da linha em fun\u00e7\u00e3o da dist\u00e2ncia.<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A altura m\u00ednima da linha ocorrer\u00e1 quando a derivada da altura em rela\u00e7\u00e3o \u00e0 dist\u00e2ncia for igual a zero. Desta maneira, teremos que:<\/span><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_6.png\"><img decoding=\"async\" class=\"aligncenter wp-image-39969 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_6.png\" alt=\"\" width=\"1134\" height=\"119\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_6.png 1134w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_6-300x31.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_6-1024x107.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_6-768x81.png 768w\" sizes=\"(max-width: 1134px) 100vw, 1134px\" \/><\/a><\/p>\r\n<p><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_7.png\"><img decoding=\"async\" class=\"aligncenter wp-image-39970 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_7.png\" alt=\"\" width=\"641\" height=\"112\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_7.png 641w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_7-300x52.png 300w\" sizes=\"(max-width: 641px) 100vw, 641px\" \/><\/a><\/p>\r\n<figure id=\"attachment_39971\" aria-describedby=\"caption-attachment-39971\" style=\"width: 1260px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_8.png\"><img decoding=\"async\" class=\"wp-image-39971 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_8.png\" alt=\"\" width=\"1260\" height=\"103\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_8.png 1260w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_8-300x25.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_8-1024x84.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_8-768x63.png 768w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_8-1200x98.png 1200w\" sizes=\"(max-width: 1260px) 100vw, 1260px\" \/><\/a><figcaption id=\"caption-attachment-39971\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 24.<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\r\n<figure id=\"attachment_39972\" aria-describedby=\"caption-attachment-39972\" style=\"width: 206px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_9.png\"><img decoding=\"async\" class=\"wp-image-39972 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_9.png\" alt=\"\" width=\"206\" height=\"85\" \/><\/a><figcaption id=\"caption-attachment-39972\" class=\"wp-caption-text\">Equa\u00e7\u00e3o. Constante da linha<\/figcaption><\/figure>\r\n<div id=\"id24\" class=\"style_SkipStroke_1 shape-with-text\">\r\n<div class=\"text-content graphic_textbox_layout_style_default_External_942_28\">\r\n<div class=\"graphic_textbox_layout_style_default\">\r\n<p class=\"paragraph_style_1\"><span class=\"style\" style=\"font-family: verdana, geneva, sans-serif;\">Conforme visto no in\u00edcio, a derivada do comprimento do cabo ser\u00e1 dada por:<\/span><\/p>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<p><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_10.png\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-39973\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_10.png\" alt=\"\" width=\"1178\" height=\"119\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_10.png 1178w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_10-300x30.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_10-1024x103.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_10-768x78.png 768w\" sizes=\"(max-width: 1178px) 100vw, 1178px\" \/><\/a><img decoding=\"async\" class=\"aligncenter size-full wp-image-39974\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_11.png\" alt=\"\" width=\"947\" height=\"119\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_11.png 947w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_11-300x38.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_11-768x97.png 768w\" sizes=\"(max-width: 947px) 100vw, 947px\" \/><span style=\"font-family: verdana, geneva, sans-serif;\">O comprimento total do cabo ser\u00e1 dado por:<\/span><\/p>\r\n<p><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_12.png\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-39975\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_12.png\" alt=\"\" width=\"1394\" height=\"119\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_12.png 1394w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_12-300x26.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_12-1024x87.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_12-768x66.png 768w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_12-1200x102.png 1200w\" sizes=\"(max-width: 1394px) 100vw, 1394px\" \/><\/a><\/p>\r\n<p><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_13.png\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-39976\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_13.png\" alt=\"\" width=\"1318\" height=\"103\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_13.png 1318w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_13-300x23.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_13-1024x80.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_13-768x60.png 768w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_13-1200x94.png 1200w\" sizes=\"(max-width: 1318px) 100vw, 1318px\" \/><\/a><\/p>\r\n<p><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_14.png\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-39977\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_14.png\" alt=\"\" width=\"972\" height=\"119\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_14.png 972w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_14-300x37.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/03\/catenaria_geral_14-768x94.png 768w\" sizes=\"(max-width: 972px) 100vw, 972px\" \/><\/a><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Finalmente, assistam a este v\u00eddeo que conta tudo isso de forma muito interessante.<\/span><\/p>\r\n<\/div>\r\n<div>[wpdevart_youtube width=&#8221;800&#8243; height=&#8221;600&#8243; autoplay=&#8221;0&#8243; theme=&#8221;dark&#8221; loop_video=&#8221;0&#8243; enable_fullscreen=&#8221;1&#8243; show_related=&#8221;1&#8243; show_popup=&#8221;0&#8243; thumb_popup_width=&#8221;213&#8243; thumb_popup_height=&#8221;128&#8243; show_title=&#8221;1&#8243; show_youtube_icon=&#8221;1&#8243; show_annotations=&#8221;1&#8243; show_progress_bar_color=&#8221;white&#8221; autohide_parameters=&#8221;1&#8243; set_initial_volume=&#8221;true&#8221; initial_volume=&#8221;72&#8243; disable_keyboard=&#8221;1&#8243;]AYIQYZuQNMw[\/wpdevart_youtube]<\/div>\r\n<p>[wpdevart_youtube width=&#8221;640&#8243; height=&#8221;385&#8243; autoplay=&#8221;0&#8243; theme=&#8221;dark&#8221; loop_video=&#8221;0&#8243; enable_fullscreen=&#8221;1&#8243; show_related=&#8221;1&#8243; show_popup=&#8221;0&#8243; thumb_popup_width=&#8221;213&#8243; thumb_popup_height=&#8221;128&#8243; show_title=&#8221;1&#8243; show_youtube_icon=&#8221;1&#8243; show_annotations=&#8221;1&#8243; show_progress_bar_color=&#8221;white&#8221; autohide_parameters=&#8221;1&#8243; set_initial_volume=&#8221;true&#8221; initial_volume=&#8221;72&#8243; disable_keyboard=&#8221;1&#8243;]JlL6ZHChhQE[\/wpdevart_youtube]<\/p>\r\n<p>[wpdevart_youtube width=&#8221;640&#8243; height=&#8221;385&#8243; autoplay=&#8221;0&#8243; theme=&#8221;dark&#8221; loop_video=&#8221;0&#8243; enable_fullscreen=&#8221;1&#8243; show_related=&#8221;1&#8243; show_popup=&#8221;0&#8243; thumb_popup_width=&#8221;213&#8243; thumb_popup_height=&#8221;128&#8243; show_title=&#8221;1&#8243; show_youtube_icon=&#8221;1&#8243; show_annotations=&#8221;1&#8243; show_progress_bar_color=&#8221;white&#8221; autohide_parameters=&#8221;1&#8243; set_initial_volume=&#8221;true&#8221; initial_volume=&#8221;72&#8243; disable_keyboard=&#8221;1&#8243;]CP3fMa9iq8w[\/wpdevart_youtube]<\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\"><!-- \/wp:paragraph --><\/span><\/p>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-inline: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: 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ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; 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initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-inline: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: 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initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-inline: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: 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letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; 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-webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; text-orientation: initial; 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transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; 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scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; 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initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: 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object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: 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counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: 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initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; 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initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; 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initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: 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-webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>","protected":false},"excerpt":{"rendered":"<p>Peso do cabo;\u00a0 Comprimento do cabo; Material do cabo; Temperatura do cabo; Dist\u00e2ncia entre as torres; Altura das torres; Tra\u00e7\u00e3o no cabo. Quem fez o\u00a0trabalho de cabos, encontrou uma express\u00e3o do segundo grau para aproximar os pontos medidos.\u00a0Contudo, como podemos obter a equa\u00e7\u00e3o do cabo utilizando a f\u00edsica e a matem\u00e1tica? F\u00f3rmula da Caten\u00e1ria Este [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":9708,"parent":2362,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"templates\/template-full-width.php","meta":{"_uag_custom_page_level_css":"","footnotes":""},"class_list":["post-7661","page","type-page","status-publish","has-post-thumbnail","hentry"],"uagb_featured_image_src":{"full":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/04\/catenaria.png",1200,280,false],"thumbnail":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/04\/catenaria-150x150.png",150,150,true],"medium":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/04\/catenaria-300x70.png",300,70,true],"medium_large":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/04\/catenaria-768x179.png",580,135,true],"large":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/04\/catenaria-1024x239.png",580,135,true],"1536x1536":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/04\/catenaria.png",1200,280,false],"2048x2048":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/04\/catenaria.png",1200,280,false],"post-thumbnail":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/04\/catenaria.png",1200,280,false],"twentytwenty-fullscreen":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/04\/catenaria.png",1200,280,false]},"uagb_author_info":{"display_name":"admin","author_link":"https:\/\/www.antonioguilherme.web.br.com\/blog\/author\/admin\/"},"uagb_comment_info":0,"uagb_excerpt":"Peso do cabo;\u00a0 Comprimento do cabo; Material do cabo; Temperatura do cabo; Dist\u00e2ncia entre as torres; Altura das torres; Tra\u00e7\u00e3o no cabo. Quem fez o\u00a0trabalho de cabos, encontrou uma express\u00e3o do segundo grau para aproximar os pontos medidos.\u00a0Contudo, como podemos obter a equa\u00e7\u00e3o do cabo utilizando a f\u00edsica e a matem\u00e1tica? F\u00f3rmula da Caten\u00e1ria Este&hellip;","_links":{"self":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/7661","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/comments?post=7661"}],"version-history":[{"count":57,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/7661\/revisions"}],"predecessor-version":[{"id":42350,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/7661\/revisions\/42350"}],"up":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/2362"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/media\/9708"}],"wp:attachment":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/media?parent=7661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}