ON CURVES OF CONSTANT WIDTH DUE TO THE BISHOP FRAME OF TYPE-2 IN DUAL EUCLIDEAN SPACE D^3
Öz
In this work, we study dual constant width curves due to the Bishop frame of type-2 in
dual space 3 D . We obtain a differential equation which characterizes these curves in 𝐷^3. For
special solutions of this differential equation system, we obtain some results in 𝐷^3.
Anahtar Kelimeler
Kaynakça
- [1] Bishop, L.R., There is More Than One Way to Frame a Curve, Amer. Math. Monthly 82, 246-251, 1975.
- [2] Blaschke, W., Konvexe Bereiche Gegebener Konstanter Breite und Kleinsten Inhalts. Math. Ann. 76, 504-513, 1915.
- [3] Euler, L., De Curvis Trangularibus, Acta Acad Petropol, 1870.
- [4] Fujivara, M., On Space Curves of Constant Breadth, Tohoku Math. J. 5, 179-184, 1963.
- [5] Köse, Ö., On Space Curves of Constant Breadth, Doğa Turk. J. Math. 10, 1, 11-14, 1986.
- [6] Reuleaux, F., The Kinematics of Machinery, Dover Publications, New York, 1963.
- [7] Veldkamp, G.R., On The Use of Dual Numbers, Vectors and Matrices in Instantaneous Spatial Kinematics, Mech. Math. Theory, 11, 141-156, 1976.
- [8] Yılmaz, S., Turgut, M., A New version of Bishop Frame and Application to Spherical Images , Journal of Mathematical Analysis and Applications, 371, 764-776, 2010.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yazarlar
Yayımlanma Tarihi
30 Haziran 2016
Gönderilme Tarihi
17 Mart 2016
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2016 Cilt: 2 Sayı: 1