DARBOUX VECTOR FIELD OF THE THIRD ORDER MANNHEIM PARTNER CURVE IN

Bu çalışmada  Mannheim eğrisinin  Mannheim partner eğrisine ait modified Darboux vektörünün Mannheim eğrisinin Frenet aparatlarına bağlı ifadesi verildi. Daha sonra  eğrisinin Mannheim eğrisi olma şartı verildi.

DARBOUX VECTOR FIELD OF THE THIRD ORDER MANNHEIM PARTNER CURVE IN

In this study we worked on the modified Darboux vector on Mannheim partner curve  which is called the third order Mannheim partner of Mannheim curve . Further we give the offset property of the third order Mannheim partner  based on Frenet apparatus of Mannheim curve .

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  • Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, 1997.