{"id":74362,"date":"2021-10-16T19:12:03","date_gmt":"2021-10-16T16:12:03","guid":{"rendered":"https:\/\/azbuki.bg\/?p=74362"},"modified":"2025-07-07T11:56:26","modified_gmt":"2025-07-07T08:56:26","slug":"midlines-of-quadrilateral","status":"publish","type":"post","link":"https:\/\/philosophy.azbuki.bg\/en\/uncategorized\/midlines-of-quadrilateral\/","title":{"rendered":"Midlines of Quadrilateral"},"content":{"rendered":"<p><strong>Sead Re\u0161i\u0107, Maid Omerovi\u0107, <\/strong><br \/>\n<strong>Anes Z. Had\u017eiomerovi\u0107, Ahmed Pali\u0107<\/strong><br \/>\n<em>Bosnia and Herzegovina<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2021-3-5-mid\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/doi.org\/10.53656\/math2021-3-5-mid<\/a><\/p>\n<p><strong>Abstract.<\/strong> In this section we deal with an interesting fact which will imply ABCD some well known theorems. Namely we prove that in a convex quadrilateral whose diagonals meet at O, the midline of the triangle \u2206BOC parallel to BC, the midline of the triangle \u2206AOD parallel to AD, and the midline of the quadrilateral ABCD connecting the sides AB and CD meet at one point, or are parallel.<br \/>\n<em>Keywords:<\/em> Ceva; Menelaus; Stewartes; cevian; concurrency; collinearity; Fermat; Torricelli<\/p>\n<a href=\"https:\/\/philosophy.azbuki.bg\/en\/member-login\/\">Log in to read the full text<\/a>","protected":false},"excerpt":{"rendered":"<p>Sead Re\u0161i\u0107, Maid Omerovi\u0107, Anes Z. Had\u017eiomerovi\u0107, Ahmed Pali\u0107 Bosnia and Herzegovina https:\/\/doi.org\/10.53656\/math2021-3-5-mid Abstract. In this section we deal with an interesting fact which will imply ABCD some well known theorems. Namely we prove that in a convex quadrilateral whose diagonals meet at O, the midline of the triangle \u2206BOC parallel to BC, the midline [&hellip;]<\/p>","protected":false},"author":124332423426818,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":{"subtitle":"","format":"standard","video":"","gallery":"","source_name":"","source_url":"","via_name":"","via_url":"","override_template":"0","override":[{"single_blog_custom":"","parallax":"0","fullscreen":"0","sidebar":"","second_sidebar":"","sticky_sidebar":"0","share_position":"","share_float_style":"","show_share_counter":"0","show_view_counter":"0","show_featured":"0","show_post_meta":"0","show_post_author":"0","show_post_author_image":"0","show_post_date":"0","post_date_format":"","post_date_format_custom":"","show_post_category":"0","show_post_reading_time":"0","post_reading_time_wpm":"","show_post_tag":"0","show_prev_next_post":"0","show_popup_post":"0","number_popup_post":"1","show_author_box":"0","show_post_related":"0","show_inline_post_related":"0"}],"override_image_size":"0","image_override":[{"single_post_thumbnail_size":"","single_post_gallery_size":""}],"trending_post":"0","trending_post_position":"","trending_post_label":""},"jnews_primary_category":{"id":""}},"categories":[1],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Midlines of Quadrilateral - \u0410\u0437-\u0431\u0443\u043a\u0438<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/press.azbuki.bg\/uncategorized\/midlines-of-quadrilateral\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Midlines of Quadrilateral - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Sead Re\u0161i\u0107, Maid Omerovi\u0107, Anes Z. Had\u017eiomerovi\u0107, Ahmed Pali\u0107 Bosnia and Herzegovina https:\/\/doi.org\/10.53656\/math2021-3-5-mid Abstract. In this section we deal with an interesting fact which will imply ABCD some well known theorems. 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