Starting from ideas and results given by Özkaldi, Ä°larslan and YaylÄ± in (2009), in this paper we investigate Bertrand curves in three dimensional dual space D3. We obtain the necessary characterizations of these curves in dual space D3. As a result, we find that the distance between two Bertrand curves and the dual angle between their tangent vectors are constant. Also, well known characteristic property of Bertrand curve in Euclid space E3 which is the linear relation between its curvature and torsion is satisfied in dual space as λ.κ(S) + μ.τ(S) = 1. We show that involute curves, which are the curves whose tangent vectors are perpendicular, of a curve constitute Bertrand pair curves.
Key words: Bertrand curves, involute-evolute curves, dual space.
2000 Mathematics Subject Classification: 53A04 , 53A25 , 53A40.
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