catenoid

American  

[kat-n-oid] / ˈkæt nˌɔɪd /

noun

Geometry.

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

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catenoid British  

/ ˈkætəˌnɔɪd /

noun

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

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Etymology

Origin of catenoid

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

Example Sentences

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

We shall notice only two of them, the cylinder and the catenoid.

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

Hence if a film in the form of the catenoid which is nearest the axis be displaced towards the axis, it will tend to move farther towards the axis and will collapse.

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

This catenoid, however, is in stable equilibrium only when the portion considered is such that the tangents to the catenary at its extremities intersect before they reach the directrix.

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