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catenoid

American  
[kat-n-oid] / ˈkæt nˌɔɪd /

noun

Geometry.
  1. the surface generated by rotating a catenary about its axis of symmetry.


catenoid British  
/ ˈkætəˌnɔɪd /

noun

  1. the geometrical surface generated by rotating a catenary about its axis

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of catenoid

1875–80; < Latin catēn ( a ) a chain + -oid

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

A catenoid in nature can be found when stretching soap between two rings.

From Textbooks • Mar. 30, 2016

For the following exercises, consider the catenoid, the only solid of revolution that has a minimal surface, or zero mean curvature.

From Textbooks • Mar. 30, 2016

Hence a catenoid whose directrix coincides with the axis of revolution has at every point its principal radii of curvature equal and opposite, so that the mean curvature of the surface is zero.

From Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" by Various

The only surface of revolution having this property is the catenoid formed by the revolution of a catenary about its directrix.

From Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" by Various

Hence the film in the form of the catenoid which is nearest the axis is in unstable equilibrium under the condition that it is exposed to equal pressures within and without.

From Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades" by Various

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