Difference between revisions of "Catenoid"
From Encyclopedia of Mathematics
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| − | The surface formed by the revolution of a catenary | + | {{TEX|done}} |
| + | The surface formed by the revolution of a catenary $y=a\cosh x/b$ about the $x$-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" /> | <img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/c020800a.gif" /> | ||
Revision as of 16:31, 15 April 2014
The surface formed by the revolution of a catenary $y=a\cosh x/b$ about the $x$-axis; it is a 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.).
Figure: c020800a
Comments
References
| [a1] | C.C. Hsiung, "A first course in differential geometry" , Wiley (Interscience) (1981) |
How to Cite This Entry:
Catenoid. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Catenoid&oldid=31755
Catenoid. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Catenoid&oldid=31755
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article