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Dergiler / Mathematical Sciences and Applications E-Notes / 2017 / Cilt: 5 - Sayı: 1

Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space

Funda KAYMAZ
Ferdağ Kahraman AKSOYAK
Sayfa
34–39
Yayın Tarihi
2017-04-30
DOI
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In this study we investigate some special curves which have Mannheim curves and Mannheim partner curves and obtain some characterizations about them.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study we investigate some special curves which have Mannheim curves and Mannheim partner curves and obtain some characterizations about them.
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Temel Bulgular & Veri:In this study we investigate some special curves which have Mannheim curves and Mannheim partner curves and obtain some characterizations about them.
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Sonuç & Katkı:In this study we investigate some special curves which have Mannheim curves and Mannheim partner curves and obtain some characterizations about them.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Mannheim curves · Mannheim partner curves · Euclidean space

Abstract

In this study we investigate some special curves which have Mannheim curves and Mannheim partner curves and obtain some characterizations about them.

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Bu Makaleye Atıf Yap

KAYMAZ, F., AKSOYAK, F. K. (2017). Some Special Curves and Mannheim Curves in Three Dimensional Euclidean Space. Mathematical Sciences and Applications E-Notes, Cilt: 5 - Sayı: 1, 34–39. https://ajindex.com/articles/690725

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Kaynakça (6)

  1. Altunkaya, B.; Kula, L. Some Characterizations of Slant and Spherical Helices due to Sabban Frame, Math. Sci. Appl. E-Notes, 2015, 3(2), 64-73
  2. Chen, B. Y. When does the position vector of a space curve always lie in its rectifying plane? Amer. Math. Monthly, 2003, 110, 147-152
  3. Liu, H. L.; Wang, F. Mannheim partner curves in 3-space, J. Geom, 2008, 88, 120-126
  4. Mannheim, A.; Paris C. R. 1878, 86, 1254-1256
  5. Monterde, J. Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Comput. Aided Geomet. Design. 2009, 26, 271-278
  6. Salkowski, E. Zur transformation von raumkurven. Mathematische Annalen. 1909, 66, 517-557.