View source for Catenoid

The surface formed by the revolution of a catenary <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c020/c020800/c0208001.png" /> about the <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c020/c020800/c0208002.png" />-axis; it is a [[Minimal surface|minimal surface]]. The catenoid is the form realized by a soap bubble  "stretched"  over two wire discs the planes of which are perpendicular to the line joining their centres (see Fig.).

<img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/c020800a.gif" />

Figure: c020800a



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====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  C.C. Hsiung,   "A first course in differential geometry" , Wiley (Interscience)  (1981)</TD></TR></table>