Browsing by Subject "Rectifying helix"

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    A generalization of the notion of helix
    (Scientific and Technological Research Council of Turkey, 2023) Lucas Saorín, Pascual; Ortega Yagües, José Antonio; Matemáticas
    In this paper we generalize the notion of helix in the three-dimensional Euclidean space, which we define as that curve $\alpha$ for which there is an $F$-constant vector field $W$ along $\alpha$ that forms a constant angle with a fixed direction $V$ (called an axis of the helix). We find the natural equation and the geometric integration of helices $\alpha$ where the $F$-constant vector field $W$ is orthogonal to its axis.