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    Notes on Curves at a Constant Distance from the Edge of Regression on a Curve in Galilean 3-Space

    Ali Çakmak1,*, Sezai Kızıltuğ2, Gökhan Mumcu3

    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.3, pp. 2731-2742, 2023, DOI:10.32604/cmes.2023.024517

    Abstract In this paper, we define the curve at a constant distance from the edge of regression on a curve r(s) with arc length parameter s in Galilean 3-space. Here, d is a non-isotropic or isotropic vector defined as a vector tightly fastened to Frenet trihedron of the curve r(s) in 3-dimensional Galilean space. We build the Frenet frame of the constructed curve with respect to two types of the vector d and we indicate the properties related to the curvatures of the curve . Also, for the curve , we give the conditions to be a circular helix. Furthermore, we… More >

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