{"id":21,"date":"2022-05-27T14:57:43","date_gmt":"2022-05-27T14:57:43","guid":{"rendered":"https:\/\/mrhengineering.dk\/?p=21"},"modified":"2024-10-11T20:20:40","modified_gmt":"2024-10-11T18:20:40","slug":"the-logo","status":"publish","type":"post","link":"https:\/\/mrhengineering.dk\/?p=21","title":{"rendered":"The Logo"},"content":{"rendered":"\n<p>The logo is inspired by a nice proof of a very used mathematical equation. I first saw this proof of Pythagoras here: <a rel=\"noreferrer noopener\" href=\"https:\/\/www.youtube.com\/watch?v=xyVl-tcB8pI\" data-type=\"URL\" data-id=\"https:\/\/www.youtube.com\/watch?v=xyVl-tcB8pI\" target=\"_blank\">Impossible squares &#8211; Numberphile<\/a>. Strange that I never came across a proof before. Anyway, Here&#8217;s the short version.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mrhengineering.dk\/wp-content\/uploads\/2022\/05\/Pyt-1.png\" alt=\"\" class=\"wp-image-25\" width=\"341\" height=\"371\" srcset=\"https:\/\/mrhengineering.dk\/wp-content\/uploads\/2022\/05\/Pyt-1.png 498w, https:\/\/mrhengineering.dk\/wp-content\/uploads\/2022\/05\/Pyt-1-276x300.png 276w\" sizes=\"auto, (max-width: 341px) 100vw, 341px\" \/><\/figure>\n\n\n\n<p>The area of the large square is <span class=\"katex-eq\" data-katex-display=\"false\">(a+b)^2<\/span>.<\/p>\n\n\n\n<p>The area of the small square is <span class=\"katex-eq\" data-katex-display=\"false\">c^2<\/span>.<\/p>\n\n\n\n<p>The area of one triangle is <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{1}{2}\\cdot a\\cdot b<\/span>.<\/p>\n\n\n\n<p>The sum of the area of the small square and four triangles equals the area of the big square: <span class=\"katex-eq\" data-katex-display=\"false\">c^2 + 4\\cdot\\frac{1}{2}\\cdot a\\cdot b = (a+b)^2<\/span>.<\/p>\n\n\n\n<p>This can be expanded to: <span class=\"katex-eq\" data-katex-display=\"false\">c^2 + 2\\cdot a\\cdot b=a^2 + b^2 + 2\\cdot a\\cdot b<\/span>.<\/p>\n\n\n\n<p>Which can be simplified to <span class=\"katex-eq\" data-katex-display=\"false\">c^2=a^2+b^2<\/span>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The logo is inspired by a nice proof of a very used mathematical equation. I first saw this proof of Pythagoras here: Impossible squares &#8211; Numberphile. Strange that I never came across a proof before. Anyway, Here&#8217;s the short version. The area of the large square is . The area of the small square is [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[5,4],"class_list":["post-21","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-math-proof","tag-pythagoras"],"_links":{"self":[{"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=\/wp\/v2\/posts\/21","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=21"}],"version-history":[{"count":5,"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=\/wp\/v2\/posts\/21\/revisions"}],"predecessor-version":[{"id":56,"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=\/wp\/v2\/posts\/21\/revisions\/56"}],"wp:attachment":[{"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=21"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mrhengineering.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=21"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}