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  • ellipses

    A while ago there was a question about how the surface area of an ellipse
    changes with the perimeter... I've been talking to a friend and here's
    his response: (Hope this helps!)

    doug


    Sorry to take so long to respond. I asked a few people about the
    surface area of the ellipsoid problem, and apparently you need elliptic integral
    s to solve it. I think there's books which have tables of them, or I'm
    sure mathematica could solve them explicitly. As far as a derivation, I think
    it's straightforward but complicated. It sounds like your friend knows more
    about it than me, though.
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