What does catenoid mean?

Definitions for catenoid
cat·e·noid

This dictionary definitions page includes all the possible meanings, example usage and translations of the word catenoid.


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Wiktionary

  1. catenoidnoun

    A three-dimensional surface formed by rotation of a catenary

Wikipedia

  1. Catenoid

    In geometry, a catenoid is a type of surface, arising by rotating a catenary curve about an axis (a surface of revolution). It is a minimal surface, meaning that it occupies the least area when bounded by a closed space. It was formally described in 1744 by the mathematician Leonhard Euler. Soap film attached to twin circular rings will take the shape of a catenoid. Because they are members of the same associate family of surfaces, a catenoid can be bent into a portion of a helicoid, and vice versa.

Wikidata

  1. Catenoid

    A catenoid is a surface in 3-dimensional Euclidean space arising by rotating a catenary curve about its directrix. Not counting the plane, it is the first minimal surface to be discovered. It was found and proved to be minimal by Leonhard Euler in 1744. Early work on the subject was published also by Jean Baptiste Meusnier. There are only two minimal surfaces of revolution: the plane and the catenoid. The catenoid may be defined by the following parametric equations: In cylindrical coordinates: A physical model of a catenoid can be formed by dipping two circles into a soap solution and slowly drawing the circles apart. The catenoid may be also defined approximately by the Stretched grid method as a facet 3D model

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  1. actioned

  2. DA-notice

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Numerology

  1. Chaldean Numerology

    The numerical value of catenoid in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of catenoid in Pythagorean Numerology is: 8

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"catenoid." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/catenoid>.

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