Minimal Surface Bounded by Coaxial Rings is Catenoid

Theorem

Let $X$ and $Y$ be coaxial rings of wire between which a minimal surface is stretched.

The minimal surface is in the shape of a catenoid.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): catenoid
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): catenoid