{"id":1436,"date":"2020-01-22T09:02:45","date_gmt":"2020-01-22T14:02:45","guid":{"rendered":"http:\/\/josmfs.net\/?p=1436"},"modified":"2020-01-22T09:02:45","modified_gmt":"2020-01-22T14:02:45","slug":"a-tidy-theorem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/01\/22\/a-tidy-theorem\/","title":{"rendered":"A Tidy Theorem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1435\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/01\/Tidy-Thm-Fig1.jpg\" alt=\"\" width=\"200\" height=\"217\" \/>This is another fairly simple puzzle from <em>Futility Closet.<\/em><\/p>\n<p>\u201cIf an equilateral triangle is inscribed in a circle, then the distance from any point on the circle to the triangle\u2019s farthest vertex is equal to the sum of its distances to the two nearer vertices (q = p + r).<\/p>\n<p>(A corollary of Ptolemy\u2019s theorem.)\u201d<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/01\/Tidy-Theorem-160206.pdf\">A Tidy Theorem<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another fairly simple puzzle from Futility Closet. \u201cIf an equilateral triangle is inscribed in a circle, then the distance from any point on the circle to the triangle\u2019s farthest vertex is equal to the sum of its distances to the two nearer vertices (q = p + r). (A corollary of Ptolemy\u2019s theorem.)\u201d [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[40,16,41],"class_list":["post-1436","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-analytic-geometry","tag-futility-closet","tag-trigonometry"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1436","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=1436"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1436\/revisions"}],"predecessor-version":[{"id":1437,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1436\/revisions\/1437"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1436"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1436"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1436"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}