Dupin cyclide

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.

单词	Dupin cyclide
释义	Dupin cyclide 英语百科 Dupin cyclide 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.
随便看	syncephalis depressa的意思 syncephalis formosana的意思 syncephalis obconica的意思 syncephalis obliqua的意思 syncephalis parvula的意思 syncephalis reflexa的意思 syncephalis sphaerica的意思 syncephalis tenuis的意思 syncephalis ventricosa的意思 syncephalon的意思 syncephalus的意思 syncephalus asymmetros的意思 syncephaly的意思 sync equalizing的意思 syncerbrum的意思 syncerebrum的意思 Syncerus的意思 syncerus caffe的意思 Syncerus caffer的意思 sync fail的意思 sync feedback的意思 sync field的意思 syncgenerator的意思 sync generator的意思 sync generator for colour的意思