In the attached figures, we have two kind of curve; 1- a big closed curve which is somehow a limaçon. 2- many ellipses which are the same by the formula but different by the center. In fact, we have the same rotated ellipses whose centers vary on the points on the limaçon. I added two figures in which the number of added ellipses are different (just to make more confortable to understand the question). Now, I want to add a new curve in the figure which is tangent to all the ellipses. For now, I have no idea how to do it.
Any help is appreciated in advance.
I should say that I can add as many as ellipses I want.