Characteristic properties of the parallel ruled surfaces with Darboux frame in Euclidean 3- space

Yıl 2016, Cilt: 1 Sayı: 1, 26 - 43, 01.01.2016

Yasin Unluturk , Muradiye Cimdiker Cumali Ekici

Öz

In this paper, the parallel ruled surfaces with Darboux frame are introduced in Euclidean 3-space. Then some characteristic
properties such as developability, striction point and distribution parameter of the parallel ruled surfaces with Darboux frame are given
in Euclidean 3-space. Then we obtain Steiner rotation vector of this kind of surfaces Euclidean 3-space. By using this rotation vector,
we compute pitch length and pitch angle of the parallel ruled surfaces with Darboux frame. 

Anahtar Kelimeler

Parallel ruled surface, Darboux frame, developability, Steiner rotation vector, pitch length, pitch angle.

Kaynakça

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