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{"type":"standard","title":"Steiner ellipse","displaytitle":"Steiner ellipse","namespace":{"id":0,"text":""},"wikibase_item":"Q2793306","titles":{"canonical":"Steiner_ellipse","normalized":"Steiner ellipse","display":"Steiner ellipse"},"pageid":19106257,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/0/00/Steiner_ellipse.svg/330px-Steiner_ellipse.svg.png","width":320,"height":254},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/0/00/Steiner_ellipse.svg/567px-Steiner_ellipse.svg.png","width":567,"height":450},"lang":"en","dir":"ltr","revision":"1295162236","tid":"db832f06-4739-11f0-a9b6-0175943eb772","timestamp":"2025-06-12T03:03:47Z","description":"Circumellipse of a triangle whose center is the triangle's centroid","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Steiner_ellipse","revisions":"https://en.wikipedia.org/wiki/Steiner_ellipse?action=history","edit":"https://en.wikipedia.org/wiki/Steiner_ellipse?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Steiner_ellipse"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Steiner_ellipse","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Steiner_ellipse","edit":"https://en.m.wikipedia.org/wiki/Steiner_ellipse?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Steiner_ellipse"}},"extract":"In geometry, the Steiner ellipse of a triangle is the unique circumellipse whose center is the triangle's centroid. It is also called the Steiner circumellipse, to distinguish it from the Steiner inellipse. Named after Jakob Steiner, it is an example of a circumconic. By comparison the circumcircle of a triangle is another circumconic that touches the triangle at its vertices, but is not centered at the triangle's centroid unless the triangle is equilateral.","extract_html":"
In geometry, the Steiner ellipse of a triangle is the unique circumellipse whose center is the triangle's centroid. It is also called the Steiner circumellipse, to distinguish it from the Steiner inellipse. Named after Jakob Steiner, it is an example of a circumconic. By comparison the circumcircle of a triangle is another circumconic that touches the triangle at its vertices, but is not centered at the triangle's centroid unless the triangle is equilateral.
"}