Araştırma Makalesi

A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2

Cilt: 2 Sayı: 2 25 Aralık 2016
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A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2

Öz

In this paper, we first obtain the differential equation characterizing position vector of a regular

curve in Euclidean plane 2 E . Then we study the special curves such as Smarandache curves,

curves of constant breadth due to the Bishop frame in Euclidean plane 2 E . We give some

characterizations of these special curves due to the Bishop frame in Euclidean plane 2 E .

AMS Subject Classification: 53A35, 53A40, 53B25

Anahtar Kelimeler

Kaynakça

  1. [1] A.T. Ali, Special Smarandache curves in the Euclidean space. Int J Math Comb 2:30-36 2010.
  2. [2] Bishop LR(1975) There is more than one way to frame a curve. Am Math Mon 82:246-251
  3. [3] M. Çetin, Y. Tuncer Y and M.K. Karacan, Smarandache curves according to Bishop frame in Euclidean 3-space, Gen. Math. Notes, 2014; 20: 50-56.
  4. [4] B.Y. Chen, When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Monthly 110 (2003), 147-152.
  5. [5] L. Euler, De curvis triangularibus, Acta Acad. Petropol., 3-30, 1778 (1780).
  6. [6] Fujivara M (1914) On space curves of constant breadth. Tohoku Math J 5:179-184.
  7. [7] C. G. Gibson, Elementary geometry of differentiable curves. An undergraduate introduction. Cambridge University Press, Cambridge, 2001.
  8. [8] A. Gray, E. Abbena, S. Salamon, Modern differential geometry of curves and surfaces with Mathematica Chapman and Hall/CRC, Boca Raton, FL, (2006). 1

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

25 Aralık 2016

Gönderilme Tarihi

10 Mart 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2016 Cilt: 2 Sayı: 2

Kaynak Göster

APA
Yılmaz, S., & Ünlütürk, Y. (2016). A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2. Kirklareli University Journal of Engineering and Science, 2(2), 109-119. https://izlik.org/JA73CH92DF
AMA
1.Yılmaz S, Ünlütürk Y. A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2. KLUJES. 2016;2(2):109-119. https://izlik.org/JA73CH92DF
Chicago
Yılmaz, Süha, ve Yasin Ünlütürk. 2016. “A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2”. Kirklareli University Journal of Engineering and Science 2 (2): 109-19. https://izlik.org/JA73CH92DF.
EndNote
Yılmaz S, Ünlütürk Y (01 Aralık 2016) A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2. Kirklareli University Journal of Engineering and Science 2 2 109–119.
IEEE
[1]S. Yılmaz ve Y. Ünlütürk, “A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2”, KLUJES, c. 2, sy 2, ss. 109–119, Ara. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA73CH92DF
ISNAD
Yılmaz, Süha - Ünlütürk, Yasin. “A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2”. Kirklareli University Journal of Engineering and Science 2/2 (01 Aralık 2016): 109-119. https://izlik.org/JA73CH92DF.
JAMA
1.Yılmaz S, Ünlütürk Y. A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2. KLUJES. 2016;2:109–119.
MLA
Yılmaz, Süha, ve Yasin Ünlütürk. “A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2”. Kirklareli University Journal of Engineering and Science, c. 2, sy 2, Aralık 2016, ss. 109-1, https://izlik.org/JA73CH92DF.
Vancouver
1.Süha Yılmaz, Yasin Ünlütürk. A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2. KLUJES [Internet]. 01 Aralık 2016;2(2):109-1. Erişim adresi: https://izlik.org/JA73CH92DF