{"id":228850,"date":"2026-04-23T15:03:58","date_gmt":"2026-04-23T12:03:58","guid":{"rendered":"https:\/\/azbuki.bg\/?p=228850"},"modified":"2026-04-23T15:03:58","modified_gmt":"2026-04-23T12:03:58","slug":"problems-for-plane-figures-related-to-conic-sections","status":"publish","type":"post","link":"https:\/\/foreignlanguages.azbuki.bg\/en\/uncategorized\/problems-for-plane-figures-related-to-conic-sections\/","title":{"rendered":"Problems for Plane Figures related to Conic Sections"},"content":{"rendered":"<p><strong>Penka Rangelova, Marta Teofilova<\/strong><br \/>\n<em>University of Plovdiv Paisii Hilendarski, Plovdiv (Bulgaria)<\/em><\/p>\n<p><a href=\"https:\/\/doi.org\/10.53656\/math2026-2-7-ppf\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.53656\/math2026-2-7-ppf<\/a><\/p>\n<p><strong>Abstract.<\/strong> This work is dedicated to problems involving plane figures defined by<br \/>\npoints related to conic sections. The presented problems involve finding elements or areas<br \/>\nof convex polygons whose vertices lie on ellipses, hyperbolas, and parabolas. Extremal<br \/>\narea problems are also considered.<br \/>\n<em>Keywords:<\/em> conic sections, ellipse, hyperbola, parabola, circle, polygons<\/p>\n<p><a href=\"https:\/\/azbuki.bg\/wp-content\/uploads\/2026\/04\/math_2_2026_penka-rangelova.pdf\" target=\"_blank\" rel=\"noopener\">Open the full text<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Penka Rangelova, Marta Teofilova University of Plovdiv Paisii Hilendarski, Plovdiv (Bulgaria) https:\/\/doi.org\/10.53656\/math2026-2-7-ppf Abstract. This work is dedicated to problems involving plane figures defined by points related to conic sections. The presented problems involve finding elements or areas of convex polygons whose vertices lie on ellipses, hyperbolas, and parabolas. Extremal area problems are also considered. Keywords: [&hellip;]<\/p>","protected":false},"author":124332423427287,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jnews-multi-image_gallery":[],"jnews_single_post":[],"jnews_primary_category":[]},"categories":[1],"tags":[16163,18041,15096,18042,18043,18044],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Problems for Plane Figures related to Conic Sections - \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:\/\/azbuki.bg\/uncategorized\/problems-for-plane-figures-related-to-conic-sections\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Problems for Plane Figures related to Conic Sections - \u0410\u0437-\u0431\u0443\u043a\u0438\" \/>\n<meta property=\"og:description\" content=\"Penka Rangelova, Marta Teofilova University of Plovdiv Paisii Hilendarski, Plovdiv (Bulgaria) https:\/\/doi.org\/10.53656\/math2026-2-7-ppf Abstract. This work is dedicated to problems involving plane figures defined by points related to conic sections. The presented problems involve finding elements or areas of convex polygons whose vertices lie on ellipses, hyperbolas, and parabolas. Extremal area problems are also considered. 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