Some new types of associated curves in Euclidean 3-space

Some new types of associated curves in Euclidean 3-space

In this paper, we introduce the concept of D-direction curve and C- direction curve of a given curve using the alternative frame –N,C,W} in Euclidean 3-space. Furthermore, we define a (N,C) plane curve, a (N,W) plane curve and a (C,W) plane curve of a given curve, and give some results related to th...

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Veröffentlicht in:Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică 2018-03, Vol.26 (1), p.205-221
Hauptverfasser: Özdoğan, Sibel, Tuncer, O. Oğulcan, Gök, İsmail, Yaylı, Yusuf
Format: Artikel
Sprache:eng
Schlagworte:
53A04
53A05
associated curves
C-slant helix
general helix
Integral curve
slant helix
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Beschreibung
Zusammenfassung:In this paper, we introduce the concept of D-direction curve and C- direction curve of a given curve using the alternative frame –N,C,W} in Euclidean 3-space. Furthermore, we define a (N,C) plane curve, a (N,W) plane curve and a (C,W) plane curve of a given curve, and give some results related to them. Finally, we present some illustrated examples for new associated curves.
ISSN:1844-0835
1224-1784
1844-0835
DOI:10.2478/auom-2018-0013