space curve in a sentence

Examples

1. *PM : fundamental theorem of space curves, id = 3929-- WP guess : fundamental theorem of space curves-- Status:
2. Every immersed plane curve lifts to an embedded space curve via separating the intersection points, which is not true in higher dimensions.
3. These formulas are important in the theory of space curves ( differential geometry ), and they were presented in his doctoral thesis at Toulouse in 1847.
4. If " C " is a regular space curve then the osculating circle is defined in a similar way, using the principal normal vector " N ".
5. Its " Wr " ( in the space curve sense ) is equal to the average of the integral writhe values obtained from the projections from all vantage points.
6. The osculating plane in the geometry of Euclidean space curves can be described in terms of the Frenet-Serret formulas as the linear span of the tangent and normal vectors.
7. "' normal plane "'also refers to the plane that is perpendicular to the tangent vector of a space curve; ( this plane also contains the normal vector ) see Frenet Serret formulas.
8. :: : No material has been created that deals with particle motion on 3-D space curves; of course, it could be done, but involves some additional vectors and concepts from differential geometry.
9. In " Die Theorie der Oberfl�chen " ( the theory of surfaces ) of 1880, one of his major works, he studied second order surfaces and third order space curves, continuing Steiner's work.
10. For instance, because space curves in on itself, it may be possible to use " worm holes " or other anomalies to disappear in one region of the universe and reappear in another.