Alternatif çatıdan elde edilen dual Smarandache eğrileri ve regle yüzeyleri

E-Study teoremi gereği dual uzayda dual birim küre üzerinde seçilen dual Smarandache eğrisi Öklid-3 uzayındaki yönlü doğruların oluşturmuş olduğu regle yüzeye karşılık gelir. Bu çalışmada alternatif çatının dual bileşenlerinin yardımıyla oluşturulan dual Smarandache eğrilerine karşılık gelen regle yüzeylerine ait bazı karakterizasyonlar incelenmiştir.

Anahtar Kelimeler:

Alternatif çatı, Dual eğri, Dual Smarandache eğrisi, Dual uzay, E-Study teoremi, Smarandache eğrisi

Dual Smarandache curves and ruled surfaces obtained from the alternative frame

According to the E-Study theorem, the dual Smarandache curve chosen on the dual unit sphere in dual space corresponds to the ruled surface formed by the directional lines in the Euclidean 3-space. In this study, some characterizations of ruled surfaces corresponding to dual Smarandache curves constructed with the help of dual components of the alternative frame are investigated.

Keywords:

Alternative frame, Dual curve, Dual Smarandache curve, Dual space, E-Study teorem, Smarandache curve,

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