{"id":12998,"date":"2022-07-03T09:20:42","date_gmt":"2022-07-03T12:20:42","guid":{"rendered":"https:\/\/professorpinguim.com.br\/blog\/?p=12998"},"modified":"2023-08-06T20:59:55","modified_gmt":"2023-08-06T23:59:55","slug":"lentes-esfericas-determinacao-geometrica-de-imagens","status":"publish","type":"post","link":"https:\/\/professorpinguim.com.br\/blog\/lentes-esfericas-determinacao-geometrica-de-imagens\/","title":{"rendered":"Lentes Esf\u00e9ricas &#8211; Determina\u00e7\u00e3o Geom\u00e9trica de Imagens"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Aprenda como s\u00e3o formadas as imagens para as Lentes Convergentes e para as Lentes Divergentes.\u00a0Entenda a diferen\u00e7a entre imagem real e virtual, direita e invertica.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As lentes esf\u00e9ricas s\u00e3o usadas nos \u00f3culos de corre\u00e7\u00e3o de Miopia e Presbiopia, nas m\u00e1quinas fotogr\u00e1ficas e filmadoras, nos bin\u00f3culos etc.<\/p>\n\n\n\n<!--more-->\n\n\n\n<h1 class=\"wp-block-heading\">Nomenclatura das Lentes Esf\u00e9ricas<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">O nome da lente esf\u00e9rica depende do formato das suas faces e se uma face \u00e9 mais curva que outra.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Falamos os nomes das duas faces, sendo que o nome da face mais plana vem primeiro<\/p>\n\n\n\n<figure class=\"wp-block-table aligncenter\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Lentes de Bordas Finas<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>Lentes de Bordas Grossa<\/strong>s<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"> <img decoding=\"async\" width=\"20\" height=\"71\" src=\"https:\/\/lh5.googleusercontent.com\/jk2oiYklt0DnV6EmHZ0-VP5eTB6UEimtf-meNtkVyqr5aX4V8DFIX4qTNwjtlrSxh50wwyvXXvywrHhxAUitj0HQtYo7oWkuo4sT7_7M_gm6ikmxjhObqHtVObncZMF1SSSHJxR6Vj6eI1ctYw\">  <br>Plano-convexa<\/td><td class=\"has-text-align-center\" data-align=\"center\"> <img decoding=\"async\" width=\"25\" height=\"68\" src=\"https:\/\/lh5.googleusercontent.com\/eLIlXT2lKvAbbnCq5ZS5nf47eNCE8KB5c4e5zf9y_6Po4zvx1juoVEcLGzve_VHbvWaM5ucM97-PL63hVq5NoevFdf4dqG_1Gcz4-jAy6Ji5D85REv7sju74W8aSrTO-h03dOg3Oiz0IVbk49A\">  <br>Plano-C\u00f4ncava<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"> <img decoding=\"async\" width=\"20\" height=\"75\" src=\"https:\/\/lh6.googleusercontent.com\/3B0JMvPuLPjcGsuioESmg11SpdlzLp_e57jtyQXmRJRt9aR_GSonA8GmA9cmUaK7tFJ3GDQQDAGK20tQ0FvHjpgRFVRjKYYLIoyScpqs1Jnqx2zMOZbZ0viNlaBpSg_s7tcsiGz6i9HlIS5QcQ\">  <br>Lente Bi-convexa<\/td><td class=\"has-text-align-center\" data-align=\"center\"> <img loading=\"lazy\" decoding=\"async\" width=\"24\" height=\"75\" src=\"https:\/\/lh6.googleusercontent.com\/MUVvBncdX4IlGwHQKQJ88x2C-YVvAPyLmBl49fLZM5jTyLkyuyRmGWyyemaqSDq5xONf2WphpyuwEIov_U3K_aS1i-ykX9J-P_KAe2rlN4mNuonvTdK0NAtc7EsXM9U5QsrthoVIRSC63QA3qg\">  <br>Bi-C\u00f4ncava<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"> <img loading=\"lazy\" decoding=\"async\" width=\"23\" height=\"67\" src=\"https:\/\/lh4.googleusercontent.com\/u1b5Dc4vU8nacstQkQsRa7SdIN_WJK-sAo63QEIc3iky7dif_SkAaYgYeCT4ksWQ1aKpN-vpMG5FAssoobEMD1WhTXvhtR8bCA8buErNBe2dfyEscQo9vSbbh1gJcD0lJXhB573dwMueuLMxcw\">  <br>C\u00f4ncavo-convexa<\/td><td class=\"has-text-align-center\" data-align=\"center\"> <img loading=\"lazy\" decoding=\"async\" width=\"23\" height=\"71\" src=\"https:\/\/lh5.googleusercontent.com\/JnLmhC_cNsUtyB9O34L8Vp6Ow9orKSfj5cHyzNYC8r4_EDzwRqtqI4jdLOmyQWqP2tE5Q9NVxAT8S0bmcMCw1dHr5i_o66EjxxCmoaFi1ARErSlWhDk-wgVdOEpL5fEnkgd3FWcMPM0ZC53zow\">  <br>Convexo-c\u00f4ncava<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">O comportamento \u00f3ptico da lente (se ela \u00e9 c\u00f4ncava ou convexa), depende do meio onde \u00e9 colocada.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se o \u00edndice de refra\u00e7\u00e3o interno da lente \u00e9 maior que o \u00edndice do meio de fora, as lentes de bordas finas convergem a luz. As lentes de bordas grossas divergem a luz.<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/yn1Hde4wbdzYrrps0HljtwHWbV705-_nAKMI5visvEfXs947ImnCV0tS3aXDMkk-a5ujxnsz4JMxdrsb0IBHYG1h6LdZRmZc1WZ7cJbq_qxgWoMPmYMh9Ct-1ImMiJwHutMmDHRLIergiY3ytQ\" alt=\"\" width=\"524\" height=\"252\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/DmqBDQkHqr3OfKqg_yNknmSBYWPJMThkNu4_6uSlJGQxESZY2x8-hjPb_QxFdUfqSMvGNqNYjuQ4V39uAkW7N7nnPdWiSUNcq8U7Pfod2SJ9yYafqrbDyxpHuZ1wmghaUl2RGKdk3ux6CgHd6A\" alt=\"\" width=\"503\" height=\"191\"\/><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\">Elementos do Eixo Principal da Lente<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Ok, isso \u00e9 chato, mas voc\u00ea deve se acostumar com os nomes de alguns pontos no eixo principal da lente:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O :\u00a0 centro \u00f3ptico<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A :&nbsp; pontos Anti-principais objeto e imagem<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">F :&nbsp; focos objeto e imagem<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">f : dist\u00e2ncia focal<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Nas lentes convergentes, o foco objeto est\u00e1 na regi\u00e3o por onde a luz chega. O foco imagem est\u00e1 na regi\u00e3o para onde a luz refrata ap\u00f3s passar pela lente.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/DFdWrsX7Tn29IQ6mhJvVmA-qCQAQNjba8Wr9rj6j07UFMyL93VIlSxq19P9tQMTcJk8EyhDsf2OSH3KaV9BkOv2oZYYTFhyhnIwvTm_ZvdNY9B34eOgqXyG_c4FItZjy0pzx6hCfY8XNOdQoAw\" alt=\"\" width=\"540\" height=\"188\"\/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Nas lentes divergentes, o foco imagem est\u00e1 na regi\u00e3o por onde a luz chega. O foco objeto&nbsp; est\u00e1 na regi\u00e3o para onde a luz refrata ap\u00f3s passar pela lente.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/9sXWWOZbTFbYb1TtQUd-O49h08Lsr2jvGCWtlxeyjdRpNf9d6pdNsdF5A9C3Z0nNTDpcVPF3QKE7mLRtCvTQXJOpTe4wX7BkBhynHW0TYJF4NpbewjQoLygQDIEt_DKPDj1P5MYh6YyaQ3AKhw\" alt=\"\" width=\"526\" height=\"194\"\/><\/figure><\/div>\n\n\n\n<h1 class=\"wp-block-heading\">Constru\u00e7\u00e3o das imagens para lentes esf\u00e9ricas<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Para obter a imagem do objeto colocado em frente a uma lente, devemos tra\u00e7ar pelo menos dois raios not\u00e1veis<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Raio 1:<\/strong> Chega paralelo ao eixo principal e refrata com dire\u00e7\u00e3o passando pelo foco imagem<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Raio 2:<\/strong> Chega no Centro \u00d3ptico da Lente e refrata sem desvio angular.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Raio 3:<\/strong> Chega com dire\u00e7\u00e3o passando pelo foco objeto e refrata paralelo ao eixo principal.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Raio 4:<\/strong> Chega pelo A<sub>o<\/sub> e refrata pelo A<sub>i<\/sub>. (Na boa, ningu\u00e9m usa esse raio. Muito ruim de desenhar, hehe.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para obter a imagem, basta tra\u00e7ar no m\u00ednimo dois raios de luz que partem da extremidade do objeto.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Lente Convergente <\/strong>| Caso 1 | Objeto antes de A<sub>o<\/sub><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/7GKMpu5fIqdERgDzDTcW1sNksxEPS_QOE1ktUr3WE3-7AyONISqY3Pu7VOCNj5P8CH3p4TkJfh1V8E3k-lW2D9S6NHkkYGbbRCsG9H3wzCMXqHHuzieHMS2IT63V4fYA-ydMDxnecrAYzkzHEA\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Imagem<\/strong>: real, invertida e menor que objeto<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Lente Convergente | <\/strong>Caso 2<strong> | <\/strong>Objeto no A<sub>o<\/sub><\/h3>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/eVNPbKD8hZkH-YdiEsa3nvv2Xpyn6V0cpiIw3MBb-wHuyAnGcdKSOtjSc18GIrsAGGPWLp51_C-780nF6ECt8QO3j2ZWJotj1Sbfv7SJdorysk5qEkMlpkBxb4actBH4pt8XvcbGMulVhgBpYw\" alt=\"\"\/><figcaption><strong>Imagem<\/strong>: real, invertida e do mesmo tamanho que o objeto<\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Lente Convergente <\/strong>| Caso 3 | Objeto entre A<sub>o <\/sub>e F<sub>o<\/sub><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/DUyQ1sgeXIs_tjS71C5AJm7S-8nGL1vlH90_XwWCqtacfyp51sEV6PepYsERBRweN5lVWb6OV-BzZrIbSx2_2qpCHGnE91C-JS_ulasj5u3jCVoq00ndFv_QoqOYBSN0qfgBHI4zdEtjClLGzw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Imagem: <\/strong>real, invertida e maior que objeto<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Lente Convergente <\/strong>| Caso 4 | Objeto no foco F<sub>o<\/sub><\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/CqcuqAaEOTULPsU9gb8IiwMl3ZRGHNYajVAk9kRzfaJJDbF_wpjviS04Q5u_Jf9Potp41V1QRF_nBaj3AjVbtmXlLEmqkuTXtzKYwVG5_IiJ5jg-YPaD8wjATmOz8Q1_3mWjkXJv6KeZ_mglmA\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Imagem<\/strong> no infinito (impr\u00f3pria)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Lente Convergente <\/strong>| Caso 5 | Objeto entre F<sub>o<\/sub> e a Lente<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/KX6_WAbn34eNkxJvTkc3GbUm-9T1Ku3UvibC3uUTdqvOg5QRFnSbYe5yZfGW4PXlQUvqk42tFMsxvMOaStb8GWlW4Hllu1mcOs4bULNXksM63pkW26zAxmKScK0S9msbWoSktHQhkr2CeUnp5g\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Imagem<\/strong>: virtual, direita e maior que objeto<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Lente Divergente <\/strong>| <strong>Caso \u00danico <\/strong>| Objeto \u00e0 frente da Lente<\/h3>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/9Z_JkX5GaysJevmkVIaheMe1PYsXw9-xZGY5PZb2TI5ddEZGSL-9eXYkQCbdMV2rV1DEgii6qoXe7cU-vGOjzri8BkF0TW9eH4rzz0NrJQfixDaBYrDdLpNtUucED6SsuncNTi2Hzl6XJdxVJw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Imagem<\/strong>: virtual, direita e menor que objeto<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Para aprender mais<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">No v\u00eddeo a seguir eu construo essas imagens passo a passo para voc\u00ea!<\/p>\n\n\n\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\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Forma\u00e7\u00e3o de imagens em lentes esf\u00e9ricas - Prof Pinguim\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/zhWdjAcIhc8?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Espero que voc\u00ea tenha entendido um pouco melhor sobre desenhos em Lentes Esf\u00e9ricas. E se quiser ajuda para melhorar seu n\u00edvel de F\u00edsica em outras mat\u00e9rias,<a href=\"https:\/\/professorpinguim.com.br\/\"> entre em contato comigo e escolha o curso de F\u00edsica mais adequado para voc\u00ea<\/a>!<br><br>SAIBA MAIS<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Me acompanhe nas redes sociais: curta a minha<a href=\"https:\/\/www.facebook.com\/professorpinguim\/\"> p\u00e1gina no Facebook<\/a>, me siga no<a href=\"https:\/\/www.instagram.com\/professorpinguim\/\"> Instagram<\/a>, se inscreva no<a href=\"https:\/\/www.youtube.com\/c\/PinguimV%C3%ADdeoF%C3%ADsica\/?sub_confirmation=1\"> Youtube<\/a> e participe do meu canal oficial no<a href=\"https:\/\/professorpinguim.com.br\/telegram\"> Telegram<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-embed-wordpress wp-block-embed is-type-wp-embed is-provider-professor-pinguim-video-fisica\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"wp-embedded-content\" data-secret=\"gWryCfH8vj\"><a href=\"https:\/\/professorpinguim.com.br\/blog\/exercicios-sobre-espelhos-esfericos-com-revisao\/\">Exerc\u00edcios sobre Espelhos Esf\u00e9ricos com revis\u00e3o<\/a><\/blockquote><iframe class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"\u201cExerc\u00edcios sobre Espelhos Esf\u00e9ricos com revis\u00e3o\u201d \u2014 Professor Pinguim | F\u00edsica\" src=\"https:\/\/professorpinguim.com.br\/blog\/exercicios-sobre-espelhos-esfericos-com-revisao\/embed\/#?secret=J3U92TFQMu#?secret=gWryCfH8vj\" data-secret=\"gWryCfH8vj\" width=\"600\" height=\"338\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Aprenda como obter as imagens em lentes esf\u00e9ricas convergentes e em lentes esf\u00e9ricas divegentes na \u00f3ptica.<\/p>\n","protected":false},"author":1,"featured_media":13001,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[228],"tags":[962,963,961,959,960,958,957,229],"class_list":["post-12998","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-optica","tag-imagem-real","tag-imagem-virtual","tag-lente","tag-lente-convergente","tag-lente-divergente","tag-lentes","tag-lentes-esfericas","tag-optica"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Lentes Esf\u00e9ricas - Determina\u00e7\u00e3o Geom\u00e9trica de Imagens - Professor Pinguim | F\u00edsica<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/professorpinguim.com.br\/blog\/lentes-esfericas-determinacao-geometrica-de-imagens\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Lentes Esf\u00e9ricas - Determina\u00e7\u00e3o Geom\u00e9trica de Imagens - Professor Pinguim | F\u00edsica\" \/>\n<meta property=\"og:description\" content=\"Aprenda como obter as imagens em lentes esf\u00e9ricas convergentes e em lentes esf\u00e9ricas divegentes na \u00f3ptica.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/professorpinguim.com.br\/blog\/lentes-esfericas-determinacao-geometrica-de-imagens\/\" \/>\n<meta property=\"og:site_name\" content=\"Professor Pinguim | F\u00edsica\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Betminds.Digital\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-07-03T12:20:42+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-08-06T23:59:55+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/07\/thumb-lentes-esf\u00e9ricas-geometrico.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"480\" \/>\n\t<meta property=\"og:image:height\" content=\"360\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Professor Pinguim\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Professor Pinguim\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/lentes-esfericas-determinacao-geometrica-de-imagens\/\",\"url\":\"https:\/\/professorpinguim.com.br\/blog\/lentes-esfericas-determinacao-geometrica-de-imagens\/\",\"name\":\"Lentes Esf\u00e9ricas - Determina\u00e7\u00e3o Geom\u00e9trica de Imagens - Professor Pinguim | F\u00edsica\",\"isPartOf\":{\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#website\"},\"datePublished\":\"2022-07-03T12:20:42+00:00\",\"dateModified\":\"2023-08-06T23:59:55+00:00\",\"author\":{\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/#\/schema\/person\/dcbdcdaaf74b619f8b699c2454e5d536\"},\"breadcrumb\":{\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/lentes-esfericas-determinacao-geometrica-de-imagens\/#breadcrumb\"},\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/professorpinguim.com.br\/blog\/lentes-esfericas-determinacao-geometrica-de-imagens\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/professorpinguim.com.br\/blog\/lentes-esfericas-determinacao-geometrica-de-imagens\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"In\u00edcio\",\"item\":\"https:\/\/professorpinguim.com.br\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Lentes Esf\u00e9ricas &#8211; 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