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- Catenoid abstract "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 (surfaces of revolution which are also minimal surfaces): the plane and the catenoid.The catenoid may be defined by the following parametric equations:where u and v are real parameters and c is a non-zero real constant.In cylindrical coordinates:Where c is a real constant.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".
- Catenoid thumbnail Catenoid.svg?width=300.
- Catenoid wikiPageExternalLink catenoid.shtml.
- Catenoid wikiPageExternalLink catenoid.html.
- Catenoid wikiPageID "273329".
- Catenoid wikiPageRevisionID "543588362".
- Catenoid hasPhotoCollection Catenoid.
- Catenoid id "p/c020800".
- Catenoid title "Catenoid".
- Catenoid subject Category:Minimal_surfaces.
- Catenoid type Artifact100021939.
- Catenoid type MinimalSurfaces.
- Catenoid type Object100002684.
- Catenoid type PhysicalEntity100001930.
- Catenoid type Surface104362025.
- Catenoid type Whole100003553.
- Catenoid comment "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.".
- Catenoid label "Catenoid".
- Catenoid label "Catenoide".
- Catenoid label "Catenoide".
- Catenoid label "Catenoide".
- Catenoid label "Catenoïde".
- Catenoid label "Caténoïde".
- Catenoid label "Katenoida".
- Catenoid label "Катеноид".
- Catenoid label "懸鏈曲面".
- Catenoid sameAs Catenoide.
- Catenoid sameAs Caténoïde.
- Catenoid sameAs Catenoide.
- Catenoid sameAs Catenoïde.
- Catenoid sameAs Katenoida.
- Catenoid sameAs Catenoide.
- Catenoid sameAs m.01p083.
- Catenoid sameAs Q1999772.
- Catenoid sameAs Q1999772.
- Catenoid sameAs Catenoid.
- Catenoid wasDerivedFrom Catenoid?oldid=543588362.
- Catenoid depiction Catenoid.svg.
- Catenoid isPrimaryTopicOf Catenoid.