{"id":840,"date":"2018-05-05T23:58:49","date_gmt":"2018-05-05T21:58:49","guid":{"rendered":"http:\/\/www.joanillo.org\/?p=840"},"modified":"2020-10-13T23:59:54","modified_gmt":"2020-10-13T21:59:54","slug":"llibre-dequacions-diferencials-capitol-equacio-de-la-corda-pesant-la-catenaria","status":"publish","type":"post","link":"https:\/\/www.joanillo.org\/?p=840","title":{"rendered":"Llibre d\u2019equacions diferencials. Cap\u00edtol &#8220;Equaci\u00f3 de la corda pesant: la caten\u00e0ria&#8221;"},"content":{"rendered":"<p><a href=\"http:\/\/www.joanillo.org\/wp-content\/uploads\/2020\/03\/catenaria.jpg\"><img loading=\"lazy\" src=\"http:\/\/www.joanillo.org\/wp-content\/uploads\/2020\/03\/catenaria-300x127.jpg\" alt=\"\" title=\"catenaria\" width=\"300\" height=\"127\" class=\"alignright size-medium wp-image-2247\"><\/a>Recordo en els meus dies de la facultat que vam resoldre a la pissarra l&#8217;equaci\u00f3 de la corda pesant. \u00c9s un cas t\u00edpic d&#8217;an\u00e0lisi infinitessimal, amb soluci\u00f3 anal\u00edtica: la corba caten\u00e0ria. L&#8217;equaci\u00f3 va ser obtinguda per primera vegada per Leibniz, Huygens i Johann Bernoulli el 1691.<\/p>\n<p>M&#8217;ho he passat molt b\u00e9 escribint aquest article. M&#8217;ha servit per aprofundir en <strong>LaTeX<\/strong>, i en la llibreria <strong>Matplotlib<\/strong> per fer les gr\u00e0fiques amb <strong>Python<\/strong>.<\/p>\n<p>Com es comenta a l&#8217;article, un cas pr\u00e0ctic molt divertit podria ser la construcci\u00f3 d&#8217;una bicicleta de rodes quadrades que circul\u00e9s sobre una superf\u00edcie feta a base de corbes caten\u00e0ries. La idea seria pr\u00f2pia del <strong>Cirque du Soleil<\/strong>, segur que triomfaria!<\/p>\n<p>Pots descarregar aquest cap\u00edtol en el seg\u00fcent enlla\u00e7:<\/p>\n<ul>\n<li><a href=\"http:\/\/wiki.joanillo.org\/index.php\/Fitxer:Llibre_equacions_diferencials_2018.pdf\" title=\"llibre equacions diferencials\" target=\"_blank\" rel=\"noopener noreferrer\">http:\/\/wiki.joanillo.org\/index.php\/Fitxer:Llibre_equacions_diferencials_2018.pdf<\/a><\/li>\n<li><a href=\"https:\/\/es.wikipedia.org\/wiki\/Catenaria\" title=\"Caten\u00e0ria\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/es.wikipedia.org\/wiki\/Catenaria<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Recordo en els meus dies de la facultat que vam resoldre a la pissarra l&#8217;equaci\u00f3 de la corda pesant. \u00c9s un cas t\u00edpic d&#8217;an\u00e0lisi infinitessimal, amb soluci\u00f3 anal\u00edtica: la corba caten\u00e0ria. L&#8217;equaci\u00f3 va ser obtinguda per primera vegada per Leibniz, Huygens i Johann Bernoulli el 1691. M&#8217;ho he passat molt b\u00e9 escribint aquest article. M&#8217;ha [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[45,16,48,49],"tags":[],"_links":{"self":[{"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/posts\/840"}],"collection":[{"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=840"}],"version-history":[{"count":1,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/posts\/840\/revisions"}],"predecessor-version":[{"id":841,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=\/wp\/v2\/posts\/840\/revisions\/841"}],"wp:attachment":[{"href":"https:\/\/www.joanillo.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=840"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=840"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.joanillo.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=840"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}