{"id":1651,"date":"2020-06-27T07:54:32","date_gmt":"2020-06-27T11:54:32","guid":{"rendered":"http:\/\/josmfs.net\/?p=1651"},"modified":"2021-01-05T19:02:08","modified_gmt":"2021-01-06T00:02:08","slug":"quadrangle-in-parallelogram","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2020\/06\/27\/quadrangle-in-parallelogram\/","title":{"rendered":"Quadrangle in Parallelogram"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1649\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/06\/Quadrangle-in-Parallelogram-Fig2.jpg\" alt=\"\" width=\"251\" height=\"156\" \/>Here is another problem from the <em>Quantum<\/em> magazine, only this time from the \u201cChallenges\u201d section (these are expected to be a bit more difficult than the Brainteasers).<\/p>\n<p>\u201cA quadrangle is inscribed in a parallelogram whose area is twice that of the quadrangle. Prove that at least one of the quadrangle\u2019s diagonals is parallel to one of the parallelogram\u2019s sides. (E. Sallinen)\u201d<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2020\/06\/Quadrangle-in-Parallelogram-200409.pdf\">Quadrangle in Parallelogram<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here is another problem from the Quantum magazine, only this time from the \u201cChallenges\u201d section (these are expected to be a bit more difficult than the Brainteasers). \u201cA quadrangle is inscribed in a parallelogram whose area is twice that of the quadrangle. Prove that at least one of the quadrangle\u2019s diagonals is parallel to one [&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":[13,194],"class_list":["post-1651","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-plane-geometry","tag-quantum-magazine"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1651","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=1651"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1651\/revisions"}],"predecessor-version":[{"id":1956,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1651\/revisions\/1956"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1651"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1651"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}