{"id":6075,"date":"2023-10-12T07:03:56","date_gmt":"2023-10-12T05:03:56","guid":{"rendered":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/?p=6075"},"modified":"2023-09-26T23:22:29","modified_gmt":"2023-09-26T21:22:29","slug":"deltoide-concavo-inscrito-en-un-rectangulo-aureo","status":"publish","type":"post","link":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/deltoide-concavo-inscrito-en-un-rectangulo-aureo\/","title":{"rendered":"Deltoide c\u00f3ncavo inscrito en un rect\u00e1ngulo \u00e1ureo"},"content":{"rendered":"<p style=\"text-align: justify\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se han estudiado deltoides c\u00f3ncavos cuyos lados, diagonales o ambos tienen proporciones \u00e1ureas. Para finalizar este estudio vamos a estudiar un <strong>deltoide c\u00f3ncavo inscrito en un rect\u00e1ngulo \u00e1ureo<\/strong>.<\/span><\/p>\n<p style=\"text-align: justify\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">En principio, tendr\u00edamos dos posibilidades, situando el rect\u00e1ngulo \u00e1ureo en posici\u00f3n vertical o en posici\u00f3n horizontal.<\/span><\/p>\n<p style=\"text-align: justify\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\"><strong>Primera posibilidad<\/strong>. Se inscribe el deltoide c\u00f3ncavo en un rect\u00e1ngulo \u00e1ureo seg\u00fan se representa en la figura:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6077\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_01.png\" alt=\"\" width=\"133\" height=\"207\"><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se puede calcular directamente l<sub>2<\/sub>:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6078\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_02.png\" alt=\"\" width=\"573\" height=\"144\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_02.png 573w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_02-300x75.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se calcula ahora l<sub>1<\/sub>:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6079\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_03.png\" alt=\"\" width=\"570\" height=\"148\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_03.png 570w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_03-300x78.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">C\u00e1lculo de los \u00e1ngulos:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6080\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_04.png\" alt=\"\" width=\"679\" height=\"238\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_04.png 679w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_04-300x105.png 300w\" sizes=\"(max-width: 679px) 100vw, 679px\" \/><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">El per\u00edmetro del deltoide es:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6082\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_05.png\" alt=\"\" width=\"184\" height=\"29\"><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">El \u00e1rea del deltoide es:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6083\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_06.png\" alt=\"\" width=\"249\" height=\"57\"><\/p>\n<p style=\"text-align: justify\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\"><strong>Segunda posibilidad.<\/strong>&nbsp;Se intenta inscribir ahora el deltoide c\u00f3ncavo en un rect\u00e1ngulo \u00e1ureo seg\u00fan se representa en la figura:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6090\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_07.png\" alt=\"\" width=\"208\" height=\"152\"><\/p>\n<p style=\"text-align: justify\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">En este caso no es posible inscribir un deltoide c\u00f3ncavo cuyos lados est\u00e9n en proporci\u00f3n \u00e1urea. <\/span><\/p>\n<p style=\"text-align: justify\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Vamos a comprobarlo.<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se puede calcular directamente l<sub>2<\/sub>:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6091\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_08.png\" alt=\"\" width=\"594\" height=\"71\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_08.png 594w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_08-300x36.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se calcula ahora l<sub>1<\/sub>:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6092\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_09.png\" alt=\"\" width=\"578\" height=\"148\" srcset=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_09.png 578w, https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/09\/deacira_09-300x77.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Por tanto, no es posible construir este deltoide.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se han estudiado deltoides c\u00f3ncavos cuyos lados, diagonales o ambos tienen proporciones \u00e1ureas. Para finalizar este estudio vamos a estudiar un deltoide c\u00f3ncavo inscrito en un rect\u00e1ngulo \u00e1ureo. En principio, tendr\u00edamos dos posibilidades, situando&#46;&#46;&#46;<\/p>\n","protected":false},"author":7927,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[2075227],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/6075"}],"collection":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/users\/7927"}],"replies":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/comments?post=6075"}],"version-history":[{"count":6,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/6075\/revisions"}],"predecessor-version":[{"id":6098,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/6075\/revisions\/6098"}],"wp:attachment":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/media?parent=6075"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/categories?post=6075"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/tags?post=6075"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}