{"id":971,"date":"2011-09-05T17:53:00","date_gmt":"2011-09-05T20:53:00","guid":{"rendered":"http:\/\/scienceblogs.com.br\/hypercubic\/2011\/09\/a-%cf%80-calipse\/"},"modified":"2011-09-05T17:53:00","modified_gmt":"2011-09-05T20:53:00","slug":"a-%cf%80-calipse","status":"publish","type":"post","link":"https:\/\/www.blogs.unicamp.br\/hypercubic\/2011\/09\/a-%cf%80-calipse\/","title":{"rendered":">A-\u03c0-calipse"},"content":{"rendered":"

><\/p>\n

Ao longo do s\u00e9culo XIX, v\u00e1rios autores anunciaram, cheios de confian\u00e7a, que haviam encontrado um valor certo e exato de piiiiiiiiiiiiiiiiiiiiiii<\/strike> pi. Infelizmente, houve bastante diverg\u00eancia, pois cada um deu a sua resposta. Buscando resolver de uma vez por todas o problema de \u03c0, DUDLEY (1977), matem\u00e1tico da DePauw University, resolveu procurar um consenso atrav\u00e9s da an\u00e1lise de uma sele\u00e7\u00e3o de 50 valores de \u03c0 ordenados pelo ano do an\u00fancio:<\/div>\n
\n\n\n\n\n
<\/a><\/td>\n<\/tr>\n
\u00c9 mais ou menos por a\u00ed: 3,04862 < \u03c0<\/span> < 3,200000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/div>\n

Surpreendentemente, Underwood Dudley descobriu uma tend\u00eancia preocupante: o valor de \u03c0 est\u00e1 diminuindo. Para encontrar o valor de pi para cada ano, Dudley usou a f\u00f3rmula \u03c0t<\/sub> = 4,59183 \u2013 0,000773t<\/sub>, onde t<\/b> \u00e9 o ano do c\u00e1lculo do valor exato de pi. Fazendo as continhas, verifica-se que 1876 foi o ano com o pico do pi, co\u2019 pi mais exato: 3,145926535. Desde ent\u00e3o \u2014 admitindo-se um ritmo constante, \u00e9 claro \u2014 o valor de \u03c0 vem declinando. <\/div>\n
<\/div>\n
Para ser bem claro, isso pode ter consequ\u00eancias estrogonoficamente catastr\u00f3ficas:<\/p>\n

Quando \u03c0t<\/sub> for igual a 1, [alerta Dudley]<\/span> a circunfer\u00eancia de um c\u00edrculo ser\u00e1 igual ao seu di\u00e2metro. Assim, todos os c\u00edrculos v\u00e3o entrar em colapso. O mesmo ocorrer\u00e1 com as esferas (uma vez que elas t\u00eam sec\u00e7\u00f5es circulares), entre elas a Terra e o Sol. Ser\u00e1, de fato, o fim do mundo, que vai acontecer em 9 de agosto de 4646, exatos 3 minutos em 27 segundos antes das 9 da manh\u00e3.<\/span><\/p><\/blockquote>\n<\/div>\n

<\/div>\n
Entretanto, h\u00e1 uma boa not\u00edcia (pelo menos para os seus netos): \u201cSer\u00e1 particularmente f\u00e1cil calcular circunfer\u00eancias de c\u00edrculos em 2059, quando \u03c0t<\/sub>= 3\u201d. A cota\u00e7\u00e3o de \u03c0 para 2011 \u00e9 \u03c0 2011<\/sub>= 3,032737.<\/div>\n
<\/div>\n
<\/div>\n
_____________________________________________<\/div>\n
Bibliografia<\/b><\/div>\n
\n
    \n
  • DUDLEY, Underwood. \u201c\u03c0t<\/sub>\u201d, artigo publicado em Journal of Recreational Mathematics 9:3<\/i>, mar\u00e7o de 1977, p. 178<\/span> <\/li>\n<\/ul>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

    > Ao longo do s\u00e9culo XIX, v\u00e1rios autores anunciaram, cheios de confian\u00e7a, que haviam encontrado um valor certo e exato de piiiiiiiiiiiiiiiiiiiiiii pi. Infelizmente, houve bastante diverg\u00eancia, pois cada um deu a sua resposta. Buscando resolver de uma vez por todas o problema de \u03c0, DUDLEY (1977), matem\u00e1tico da DePauw University, resolveu procurar um consenso atrav\u00e9s da an\u00e1lise […]<\/p>\n","protected":false},"author":486,"featured_media":0,"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":[111,130,147,167,203,238],"tags":[],"class_list":["post-971","post","type-post","status-publish","format-standard","hentry","category-exatas","category-fim-do-mundo","category-geek","category-humor","category-matematica","category-numeros"],"yoast_head":"\n>A-\u03c0-calipse - hypercubic<\/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:\/\/www.blogs.unicamp.br\/hypercubic\/2011\/09\/a-\u03c0-calipse\/\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Renato Pincelli\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/09\\\/a-%cf%80-calipse\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/09\\\/a-%cf%80-calipse\\\/\"},\"author\":{\"name\":\"Renato Pincelli\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#\\\/schema\\\/person\\\/c7be1e2811d061a75d3b4f4960eb53bd\"},\"headline\":\">A-\u03c0-calipse\",\"datePublished\":\"2011-09-05T20:53:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/09\\\/a-%cf%80-calipse\\\/\"},\"wordCount\":304,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/09\\\/a-%cf%80-calipse\\\/#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/scienceblogs.com.br\\\/hypercubic\\\/files\\\/2011\\\/12\\\/piiiiiiiiiiiiiiiiiiiiiiii1.png\",\"articleSection\":[\"exatas\",\"fim do mundo\",\"geek\",\"humor\",\"matem\u00e1tica\",\"n\u00fameros\"],\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/09\\\/a-%cf%80-calipse\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/09\\\/a-%cf%80-calipse\\\/\",\"url\":\"https:\\\/\\\/www.blogs.unicamp.br\\\/hypercubic\\\/2011\\\/09\\\/a-%cf%80-calipse\\\/\",\"name\":\">A-\u03c0-calipse - 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