Talk:Steiner inellipse

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The picture here is of an isosceles triangle, with symmetries that do not hold generally. A less symmetric picture would show the reader a more typical situation. Michael Hardy (talk) 18:00, 21 January 2011 (UTC)

am I right in thinking ...

... that the two Steiner ellipses (in– and circum–) have the same center, major axis, and eccentricity? Because it seems to me they're what you get if you shear the triangle so that it becomes equilateral, draw the incircle and circumcircle, and shear back. —Tamfang (talk) 01:41, 20 May 2012 (UTC)

The centroid is the center of both. As for the same major axis and eccentricity, I don't know -- that would make a really nice paper if you could prove it and it's new, or a really nice addition to both the Wikipedia articles if you can find a source. If you haven't already, you could take a look at the MathWorld article on the circumellipse to get some ideas. Duoduoduo (talk) 15:33, 20 May 2012 (UTC)

Steiner ellipse agrees, and says the scale factor is always 2. —Tamfang (talk) 05:01, 29 October 2024 (UTC)