{"id":872,"date":"2026-06-29T17:46:13","date_gmt":"2026-06-29T17:46:13","guid":{"rendered":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/ellipse-chains-inscribed-in-conic-sections-and-integer-sequences\/"},"modified":"2026-06-29T17:46:13","modified_gmt":"2026-06-29T17:46:13","slug":"ellipse-chains-inscribed-in-conic-sections-and-integer-sequences","status":"publish","type":"post","link":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/en\/ellipse-chains-inscribed-in-conic-sections-and-integer-sequences\/","title":{"rendered":"Ellipse chains inscribed in conic sections and integer sequences"},"content":{"rendered":"<p><em>D\u00e1niel T\u00f3th<\/em><br \/><small>J. Selye University, Kom\u00e1rno<\/small><\/p>\n<p>We present a relationship between secants of conic sections and inscribed ellipses. In particular, we derive formulas and establish conditions for the construction of chains of mutually tangent ellipses inscribed in a parabola. We also discuss connections between these geometric configurations and certain integer sequences.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>D\u00e1niel T\u00f3thJ. Selye University, Kom\u00e1rno We present a relationship between secants of conic sections and inscribed ellipses. In particular, we derive formulas and establish conditions for the construction of chains of mutually tangent ellipses inscribed in a parabola. We also discuss connections between these geometric configurations and certain integer sequences.<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-872","post","type-post","status-publish","format-standard","hentry","category-presentations"],"_links":{"self":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/872","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/comments?post=872"}],"version-history":[{"count":0,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/posts\/872\/revisions"}],"wp:attachment":[{"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/media?parent=872"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/categories?post=872"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.pf.jcu.cz\/~csgg2026\/index.php\/wp-json\/wp\/v2\/tags?post=872"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}