For example in the arrow shown in the photo above, assuming the two ellipses have the same eccentricity, will that distance be the same between any two parallel points between the two ellipses?
2026-03-28 13:59:50.1774706390
Do two ellipses with the same eccentricity, have the same distance between them all around?
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1
The locus of the points at constant Euclidean distance of an ellipse (also called an offset curve) is not an ellipse. This answers you question more generally.