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- W2110606935 abstract "A curve in three-dimensional space is defined by a vector function$$varvec{r}=varvec{r}left( tright) , quad varvec{r}in mathbb {E}^3,$$where the real variable t belongs to some interval: (t_1le t le t_2). Henceforth, we assume that the function (varvec{r}left( tright) ) is sufficiently differentiable and $$begin{aligned} frac{mathrm{d}varvec{r}}{mathrm{d}t}ne varvec{ 0 } end{aligned}$$over the whole definition domain. Specifying an arbitrary coordinate system ( 2.16) as $$begin{aligned} theta ^i=theta ^ileft( varvec{r}right) , quad i=1,2,3, end{aligned}$$the curve (3.1) can alternatively be defined by $$begin{aligned} theta ^i=theta ^ileft( tright) , quad i=1,2,3. end{aligned}$$" @default.
- W2110606935 created "2016-06-24" @default.
- W2110606935 creator A5091081128 @default.
- W2110606935 date "2012-07-12" @default.
- W2110606935 modified "2023-09-27" @default.
- W2110606935 title "Curves and Surfaces in Three-Dimensional Euclidean Space" @default.
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- W2110606935 doi "https://doi.org/10.1007/978-3-642-30879-6_3" @default.
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