Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Dupin_cyclide> ?p ?o. }
Showing items 1 to 21 of
21
with 100 items per page.
- Dupin_cyclide abstract "In mathematics, a Dupin cyclide or cyclide of Dupin is any geometric inversion of a standard torus, cylinder or double cone. In particular, these latter are themselves examples of Dupin cyclides. They were discovered by (and named after) Charles Dupin in his 1803 dissertation under Gaspard Monge. The key property of a Dupin cyclide is that it is a channel surface (envelope of a one parameter family of spheres) in two different ways. This property means that Dupin cyclides are natural objects in Lie sphere geometry.Dupin cyclides are often simply known as "cyclides", but the latter term is also used to refer to a more general class of quartic surfaces which are important in the theory of separation of variables for the Laplace equation in three dimensions.".
- Dupin_cyclide thumbnail Cyclide.png?width=300.
- Dupin_cyclide wikiPageID "705128".
- Dupin_cyclide wikiPageRevisionID "604483866".
- Dupin_cyclide hasPhotoCollection Dupin_cyclide.
- Dupin_cyclide subject Category:Surfaces.
- Dupin_cyclide type Artifact100021939.
- Dupin_cyclide type Object100002684.
- Dupin_cyclide type PhysicalEntity100001930.
- Dupin_cyclide type Surface104362025.
- Dupin_cyclide type Surfaces.
- Dupin_cyclide type Whole100003553.
- Dupin_cyclide comment "In mathematics, a Dupin cyclide or cyclide of Dupin is any geometric inversion of a standard torus, cylinder or double cone. In particular, these latter are themselves examples of Dupin cyclides. They were discovered by (and named after) Charles Dupin in his 1803 dissertation under Gaspard Monge. The key property of a Dupin cyclide is that it is a channel surface (envelope of a one parameter family of spheres) in two different ways.".
- Dupin_cyclide label "Dupin cyclide".
- Dupin_cyclide sameAs m.034895.
- Dupin_cyclide sameAs Q4907706.
- Dupin_cyclide sameAs Q4907706.
- Dupin_cyclide sameAs Dupin_cyclide.
- Dupin_cyclide wasDerivedFrom Dupin_cyclide?oldid=604483866.
- Dupin_cyclide depiction Cyclide.png.
- Dupin_cyclide isPrimaryTopicOf Dupin_cyclide.
