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Topic: [HM] Gabriel's Horn
Replies: 7   Last Post: May 11, 2006 3:15 AM

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Mark B. Villarino

Posts: 1
From: Costa Rica
Registered: 7/7/05
[HM] Gabriel's Horn
Posted: May 9, 2006 11:49 PM
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A classic example in elementary calculus is that of Gabriel's Horn:
the surface obtained by revolving the graph of the curve y=1/x from
x=1 (say) to infinity, around the x-axis. Its interest is
rooted in the fact that its volume is finite and its surface area is
infinite. Thus, you can fill it with paint but you can't paint the
inside surface.

My question is: where did the example first appear historically?

I think I saw a reference to the Bernoulli's somewhere, but don't
take me too seriously.

At any rate, I would be most grateful if someone could point me to
the first known appearence of Gabriel's Horn in the literature.

Sincerely yours,

MARK B. VILLARINO




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