“…Here, T is an orthogonal transformation in E n 1 such that T (e 1 ) = e 1 , T (e 2 ) = e 2 + √ 17) and then, the coefficients of the first fundamental form of M III are given by (2.18) E = ε, F = −cx ′ n (u), and In this section, we obtain the parametrization of the spacelike loxodromes on the spacelike helicoidal surface of type I, type II and type III in a Lorentzian space E n 1 defined by (2.9), (2.12) and (2.16), respectively.…”