What curvature properties ( intrinsic equation) does the locus of focus of an rolling ellipse on outside of a fixed circle have? (When circle becomes larger and flat, the locus tends to a constant mean curvature meridian of Delaunay unduloids) .General loci are required for perimeter ratios <1, =1, and >1 cases. Use of polar coordinates recommended, origin as circle center.
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How is the ellipse rolling on a circle? is the ellipse on the inside or outside? is the circle rolling and the ellipse on top? More information is needed, I think. – robjohn Aug 29 '14 at 22:42
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Isn't circle always flat? – Conifold Aug 29 '14 at 22:42
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You may like : http://math.stackexchange.com/questions/483247/rolling-ellipses – mathlove Aug 29 '14 at 22:53
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Do ellipse and circle have equal perimeter? If not, what is the ratio between their perimeters? – MvG Aug 30 '14 at 14:15