{"id":1098,"date":"2018-03-14T04:37:45","date_gmt":"2018-03-14T09:37:45","guid":{"rendered":"https:\/\/trigonography.com\/?p=1098"},"modified":"2022-06-25T02:00:28","modified_gmt":"2022-06-25T07:00:28","slug":"pi-by-ramanujan","status":"publish","type":"post","link":"https:\/\/trigonography.com\/?p=1098","title":{"rendered":"Pi by Ramanujan"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><a href=\"https:\/\/trigonography.com\/blog\/wp-content\/uploads\/2018\/03\/trigonograph-ramanujan-pi.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/trigonography.com\/blog\/wp-content\/uploads\/2018\/03\/trigonograph-ramanujan-pi.png\" alt=\"\" width=\"600\" height=\"600\"\/><\/a><\/figure>\n<\/div>\n\n\n<div class=\"eqn-box\" style=\"margin-bottom: 20pt; font-size:12pt\">$$\\begin{align}<br>\\frac{9}{5}\\;+\\;\\sqrt{\\frac{9}{5}}\\;&amp;=\\;|\\overline{AB}|+|\\overline{AC}| \\\\<br>&amp;=\\;|\\widehat{AB^\\prime}|+|\\widehat{AC^\\prime}| \\\\<br>&amp;\\approx\\;|\\stackrel{\\frown}{AB^\\prime}|+|\\stackrel{\\frown}{AC^\\prime}| \\\\<br>&amp;=\\;|\\stackrel{\\frown}{B^\\prime C^\\prime}| \\\\[4pt]<br>&amp;\\approx\\;\\pi<br>\\end{align}$$<\/div>\n","protected":false},"excerpt":{"rendered":"<p>$$\\begin{align}\\frac{9}{5}\\;+\\;\\sqrt{\\frac{9}{5}}\\;&amp;=\\;|\\overline{AB}|+|\\overline{AC}| \\\\&amp;=\\;|\\widehat{AB^\\prime}|+|\\widehat{AC^\\prime}| \\\\&amp;\\approx\\;|\\stackrel{\\frown}{AB^\\prime}|+|\\stackrel{\\frown}{AC^\\prime}| \\\\&amp;=\\;|\\stackrel{\\frown}{B^\\prime C^\\prime}| \\\\[4pt]&amp;\\approx\\;\\pi\\end{align}$$<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1098","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/posts\/1098","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/trigonography.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1098"}],"version-history":[{"count":10,"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/posts\/1098\/revisions"}],"predecessor-version":[{"id":1208,"href":"https:\/\/trigonography.com\/index.php?rest_route=\/wp\/v2\/posts\/1098\/revisions\/1208"}],"wp:attachment":[{"href":"https:\/\/trigonography.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1098"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/trigonography.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1098"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/trigonography.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1098"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}