{"id":8373,"date":"2016-06-26T19:00:03","date_gmt":"2016-06-26T22:00:03","guid":{"rendered":"http:\/\/scienceblogs.com.br\/hypercubic\/?p=8373"},"modified":"2016-06-26T19:00:03","modified_gmt":"2016-06-26T22:00:03","slug":"os-crculos-mgicos-de-franklin","status":"publish","type":"post","link":"https:\/\/www.blogs.unicamp.br\/hypercubic\/2016\/06\/os-crculos-mgicos-de-franklin\/","title":{"rendered":"Os c\u00edrculos m\u00e1gicos de Franklin"},"content":{"rendered":"

 <\/p>\n

\"franklin<\/a>Observe atentamente os c\u00edrculos numerados acima e repare nas seguintes propriedades:<\/p>\n

\u2014 os c\u00edrculos cont\u00eam n\u00fameros de 12 a 75;
\n\u2014 cada c\u00edrculo e cada raio, somados ao n\u00famero central 12, resulta em 360, n\u00famero de graus numa circunfer\u00eancia;
\n\u2014 as linhas pontilhadas definem quatro conjuntos adicionais de c\u00edrculos cada, centrados em A, B, C e D;
\n\u2014 somados a 12, os c\u00edrculos pontilhados tamb\u00e9m resultam em 360.<\/span><\/p>\n

Criado por Benjamin Franklin, esse c\u00edrculo m\u00e1gico foi publicado originalmente na edi\u00e7\u00e3o de outubro de 1768 da Gentleman’s Magazine. O c\u00edrculo de Franklin foi republicado por Edward Falkener em seu livro Games ancient and oriental and how to play them<\/em> (1892), onde destacam-se as seguintes propriedades:<\/p>\n

A metade de qualquer desses [c\u00edrculos], dividido na vertical ou na horizontal, somada a meia d\u00fazia, perfaz 180. Os n\u00fameros de qualquer cunha, somados a 12, resultam em 360; e a metade de qualquer cunha, somada a seis, d\u00e1 180. Quatro n\u00fameros adjacentes quaisquer, formando um quadrado, como 73, 15, 72 e 14, mais meia d\u00fazia, somam 180; consegue-se igual resultado com quaisquer quatro n\u00fameros opostos, formando um quadrado, como 73, 14, 41 e 46, somados de meia d\u00fazia. (FALKENER, 1892, p. 307<\/a>)<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

  Observe atentamente os c\u00edrculos numerados acima e repare nas seguintes propriedades: \u2014 os c\u00edrculos cont\u00eam n\u00fameros de 12 a 75; \u2014 cada c\u00edrculo e cada raio, somados ao n\u00famero central 12, resulta em 360, n\u00famero de graus numa circunfer\u00eancia; \u2014 as linhas pontilhadas definem quatro conjuntos adicionais de c\u00edrculos cada, centrados em A, B, […]<\/p>\n","protected":false},"author":486,"featured_media":8391,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"material-hide-sections":[],"pgc_sgb_lightbox_settings":"","_vp_format_video_url":"","_vp_image_focal_point":[],"footnotes":""},"categories":[79,186,197,203,238],"tags":[736,985,1670,2161,2207],"class_list":["post-8373","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-curiosidades","category-isto-e-incrivel","category-livros","category-matematica","category-numeros","tag-benjamin-franklin","tag-circulo","tag-games-ancient-and-oriental","tag-magico","tag-matemagica"],"yoast_head":"\nOs c\u00edrculos m\u00e1gicos de Franklin - hypercubic<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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