2020 **Abstract:** In the present paper, a new type of special curve couple which are called W C partner curves are introduced according to alternative moving frame fN; C; W g. The distance function between the corresponding points of reference curve and its partner curve is obtained. Besides, the angle function between the vector …elds of alternative frame of the curves is expressed by means of alternative curvatures f and g. In addition to these, various characterizations are obtained related to these curves.

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“…Proof. By using the equations in (2) and the relation (11) with the fact that τ = 0 the proof is completed. □ Theorem 3.…”

confidence: 97%

“…Proof. By using the equations in (2) and the relation (11) with the fact that τ = 0 the proof is completed. □ Theorem 3.…”

confidence: 97%

“…When substituted the given ODE, (11) into (8) we complete the first part of the proof for T * . Similarly, another deductions can be drawn as < T, N * > = < O * , N * >, and < T, B * > = < O * , B * >= 0, and using these we write…”

confidence: 99%