P$_{6}$ ( s, t ) = (cosh ( s )+sinh ( s ) 4 ∑ k =1 sinh k ( t ) , − 4 ∑ k =1 sinh k ( s ) sinh k ( t ) , sinh ( s )+ cosh ( s ) 4 ∑ k =1 sinh k ( t )) is a member of the surface pencil with common line of curvature r ( s ), where − 1 ≤ s ≤ 1 , − 0 . 4 ≤ t ≤ 0 . 4 . Fig. 4.4. P$_{6}$ ( s, t ) as a member of the surface pencil and its line of curvature Acknowledgement 10 The authors appreciate the comments and valuable sug- gestions of the editor and the reviewer. Their advice helped to improve the clarity and presentation of this paper. The second author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial supports during his doctorate studies. 5 References 22 [1] Wang, G.J., Tang, K., Tai, C.L., Parametric representantion of a surface pencil with a common spatial geodesic, Computer Aided Design, 2004, 36: 447-