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• Birman, Graciela S. and Nomizu, K., Trigonometry in Lorentzian geometry. Ann. Math. Mont. 91 (1984), no. 9, 543-549.
• Blaschke, W., Vorlesungen ¨uber Differentialgeometrie, Springer. Berlin, 1930.
• Bonnor, William B., Null curves in Minkowski space-time. Tensor. 20 (1969) 229-242.
• Clifford, W.K., Preliminary sketch of biquaternions. Proceedings of London Math. Soc. 4 (1873), 361-395.
• C¸ ¨oken, Abdi C. and C¸ ift¸ci, ¨U. and Ekici, C., On parallel timelike ruled surfaces with timelike rulings. Kuwait Journal of Science & Engineering. 35 (2008), 21-31.
• Guggenheimer, Heinrich W., Differential geometry. McGraw-Hill, New York, 1963.
• Hacısaliho˘glu, H. Hilmi., Hareket geometrisi ve Kuaternionlar teorisi, Gazi ¨Universitesi, yayın no:3, Ankara, 1983.
• Kılı¸c, O. and C¸ aliskan, A., The Frenet and Darboux instantaneous rotation vectors for curves on spacelike surface. Mathematical and Computational Applications. 1 (1996), no. 2, 149-157.
• Nizamo˘glu, S., Surfaces r´egl´ees parall`eles. Ege ¨Univ. Fen Fak. Derg. Ser. A 9 1986, 37-48.
• O’Neill, B., Semi-Riemannian geometry with applications to relativity. Academic Press, New York-London, 1983.
• ¨Ozyılmaz, E. and Yaylı, Y. About the rotation of the spacelike surface strips and the trihe- drons on it. Hadronic J. 24 (2001), no. 6, 757–767.
• Schaaf, James A. and Ravani, B., Geometric continuity of ruled surfaces. Computer Aided Geometric Design. 15 (1998), no. 3, 289-310.
• S¸enyurt, S., The Parallel ruled surfaces and some their characteristic properties. Samsun, Ondokuz Mayıs University, Unpublished PhD thesis, Samsun, 1999.
• Skreiner, M., A study of the geometry and the kinematics of instantaneous spatial motion. Journal of Mechanisms. 1 (1966), no. 2, 115-143.
• Study, E., Geometrie der dynamen, Leibzig, 1903.
• Turgut, A. and Hacısaliho˘glu, H. Hilmi., Timelike ruled surfaces in the Minkowski 3-space. II. Turkish J. Math. 22 (1998), no. 1, 33-46.
• Turgut, A. and Hacısaliho˘glu, H. Hilmi., Timelike ruled surfaces in the Minkowski 3-space. Far East J. Math. Sci. 5 (1997), no. 1, 83-90.
• U˘gurlu, Hasan H. and C¸ aliskan, A., The Study mapping for directed spacelike and timelike 1lines in Minkowski 3-spaceR3 Mathematical and Computational Applications. 1 (1996), no. 2, 142-148.
• U˘gurlu, Hasan H., The relations among instantaneous velocities of trihedrons depending on a spacelike ruled surface. Hadronic Journal. 22, (1999), 145-155.
• U˘gurlu, Hasan H. and Kocayi˘git, H., The Frenet and Darboux instantaneous rotain vectors of curves on timelike surface, Mathematical and Computational Applications. 1 (1996), 133–141.
• Veldkampt, G. R., On the Use of Dual Numbers, Vectors and Matrices in instantaneous, spatial kinematics. Mech. Mach. Theory. 11 (1976), 141-156.
• I. M. Yaglom, A simple non-Euclidean geometry and its physical review, Springer-Verlag, New York, 1979.
• Esk˙Is¸eh˙Ir Osmangaz˙I University, Department of Mathematics and Computer Science, 26480, Eskis¸ehir-T ¨URK˙IYE
• E-mail address: cekici@ogu.edu.tr Karab¨uk University, Department of Mathematics, 78050, Karab¨uk-T ¨URK˙IYE
• E-mail address: zsavci@hotmail.com Kırklarel˙I University, Department of Mathematics, 39100, Kırklareli-T ¨URK˙IYE E-mail address: yasinunluturk@kirklareli.edu.tr