Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Circular_surface> ?p ?o. }
Showing items 1 to 19 of
19
with 100 items per page.
- Circular_surface abstract "In mathematics and, in particular, differential geometry a circular surface is the image of a map ƒ : I × S1 → R3, where I ⊂ R is an open interval and S1 is the unit circle, defined bywhere γ, u, v : I → R3 and r : I → R>0, when R>0 := { x ∈ R : x > 0 }. Moreover, it is usually assumed that u · u = v · v = 1 and u · v = 0, where dot denotes the canonical scalar product on R3, i.e. u and v are unit length and mutually perpendicular. The map γ : I → R3 is called the base curve for the circular surface and the two maps u, v : I → R3 are called the direction frame for the circular surface. For a fixed t0 ∈ I the image of ƒ(t0, θ) is called a generating circle of the circular surface.Circular surfaces are an analogue of ruled surfaces. In the case of circular surfaces the generators are circles; called the generating circles. In the case of ruled surface the generators are straight lines; called rulings.".
- Circular_surface wikiPageID "24473645".
- Circular_surface wikiPageRevisionID "510064101".
- Circular_surface hasPhotoCollection Circular_surface.
- Circular_surface subject Category:Surfaces.
- Circular_surface type Artifact100021939.
- Circular_surface type Object100002684.
- Circular_surface type PhysicalEntity100001930.
- Circular_surface type Surface104362025.
- Circular_surface type Surfaces.
- Circular_surface type Whole100003553.
- Circular_surface comment "In mathematics and, in particular, differential geometry a circular surface is the image of a map ƒ : I × S1 → R3, where I ⊂ R is an open interval and S1 is the unit circle, defined bywhere γ, u, v : I → R3 and r : I → R>0, when R>0 := { x ∈ R : x > 0 }. Moreover, it is usually assumed that u · u = v · v = 1 and u · v = 0, where dot denotes the canonical scalar product on R3, i.e. u and v are unit length and mutually perpendicular.".
- Circular_surface label "Circular surface".
- Circular_surface sameAs m.080pz7v.
- Circular_surface sameAs Q5121678.
- Circular_surface sameAs Q5121678.
- Circular_surface sameAs Circular_surface.
- Circular_surface wasDerivedFrom Circular_surface?oldid=510064101.
- Circular_surface isPrimaryTopicOf Circular_surface.