{"id":204216,"date":"2025-01-21T15:30:47","date_gmt":"2025-01-21T21:30:47","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2025\/01\/the-brachistochrone-problem"},"modified":"2025-01-21T15:30:47","modified_gmt":"2025-01-21T21:30:47","slug":"the-brachistochrone-problem","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2025\/01\/the-brachistochrone-problem","title":{"rendered":"The Brachistochrone Problem"},"content":{"rendered":"<p><\/p>\n<p><iframe style=\"display: block; margin: 0 auto; width: 100%; aspect-ratio: 4\/3; object-fit: contain;\" src=\"https:\/\/www.youtube.com\/embed\/3HXCv4dmR7A?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope;\n   picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>Presenting the history of the brachistochrone problem, its role in the discovery and development of the Calculus of Variations and demonstrating how to solve the brachistochrone problem using the method of the Calculus of Variations.<\/p>\n<p>Download notes for THIS video HERE: <a href=\"https:\/\/bit.ly\/3sKXUGA\">https:\/\/bit.ly\/3sKXUGA<\/a><\/p>\n<p>Download notes for my other videos: <a href=\"https:\/\/bit.ly\/37OH9lX\">https:\/\/bit.ly\/37OH9lX<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Presenting the history of the brachistochrone problem, its role in the discovery and development of the Calculus of Variations and demonstrating how to solve the brachistochrone problem using the method of the Calculus of Variations. Download notes for THIS video HERE: https:\/\/bit.ly\/3sKXUGA Download notes for my other videos: https:\/\/bit.ly\/37OH9lX<\/p>\n","protected":false},"author":709,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-204216","post","type-post","status-publish","format-standard","hentry","category-futurism"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/204216","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=204216"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/204216\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=204216"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=204216"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=204216"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}