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Gabriel's horn

Gabriel's Horn (also called Torricelli's trumpet) is a figure invented by Evangelista Torricelli which has infinite surface area, but finite volume. At the time it was discovered (predating calculus), this was considered a paradox.

Gabriel's horn is formed by taking the graph of y = 1/x, with the range x ≥ 1 (avoiding the asymptote at x = 0), rotating it in three dimensions about the x axis.

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Referenced By

| Actual infinity | Completed infinity | Evangelista Torricelli | Infinite | Infinite number | Infinite set | Infinity | List of calculus topics | List of mathematical topics (G-I) | List of mathematical topics (G-Z) | Potential infinity | Torricelli

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Gabriel's horn".

 

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