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Sep 18, 2012 at 19:29 vote accept puzne
Sep 18, 2012 at 19:29 comment added puzne Yes, you are right, it's quite simple. Too bad I missed it.. While thinking of my question above I was sidetracked to think of a stronger related question: Suppose E is a ellipsoid contained inside a bigger ellipsoid F. Can E always be moved inside F until all their axes are parallel? A positive answer also gives a positive answer to my original question, but I don't see how to obtain an implication in the other direction. Do you happen to know the solution to the latter question as well?
Sep 18, 2012 at 17:48 history answered Sergei Ivanov CC BY-SA 3.0