Let B^ be a Bézier curve in D3, that is, the control points of B^ are the vectors in D3 = {u = (u1, u2, u3) : ui ∈ D,i = 1,2,3} which is the set of dual vectors whose each coordinate components are dual numbers defined as a+εa* : a,a* ∈ R,ε ≠ 0; ε2 = 0. So the spherical projection of B^ is a spherical curve denoted by B~ on the unit sphere in D3 and every point of B~ corresponds to a directed line in real space R3 by Study transformation. In this study, the ruled surface X(t, ν) corresponding to this projection curve B~t of dual Bézier curve B^t is stated in terms of the parametric equation of the real and dual part of a given dual Bézier curve B^t. Also, in this study, some fundamental characteristics such as the striction curve, the Gaussian curvature, and the distribution parameter of the ruled surface X(t, ν) corresponding to this projection curve B~t of the dual Bézier curve B^t are investigated. These concepts at any point are stated in terms of the control points of the given dual Bézier curve B^t.
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