Re: [math-fun] one-line/proof without words/elegant proof that coeffs of (1+x)^n approx a Gaussian?

Does everyone know about the very simple purely geometric proof that a section of a cone is an ellipse? It's not easy to explain in words. If there's any interest I could find an illustration on the Web. Steve Gray Henry Baker wrote:

Is there a simple/elegant/one-line proof that the coefficients of (1+x)^n approximate a Gaussian curve? I know that it is the convolution of n boxes, and that a large convolution of non-impulses approaches a Gaussian, but is there a quick/obvious proof of this that also gives you the appropriate mean & std deviation parameters?

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