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ON CURVES OF CONSTANT BREADTH IN G13

Yıl 2016, Cilt: 6 Sayı: 1, 64 - 69, 01.06.2016

Öz

In this work, di erential equations characterizing curves of constant breadth have been given in pseudo-Galilean space G13 : The special cases related to these di erential equations have been studied in G13.

Kaynakça

  • [1] Akdogan,Z. and Ma˘gden,A., (2001), Some characterizations of curves of constant breadth in En space, Turk. J. Math., 25, pp. 433-444.
  • [2] Ball,N.H., (1930), On ovals, Amer. Math. Month., 27, pp. 348-353.
  • [3] Blaschke,W., (1915), Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Math. Ann., 76, pp. 504-513.
  • [4] Divjak,B., (1998), Curves in pseudo-Galilean geometry. Annales Univ. Budapest, 41, pp. 117-128.
  • [5] Erjavec,Z. and Divjak,B., (2008), The equiform differential geometry of curves in the pseudo-Galilean space, Math. Comm.,13, pp. 321-332.
  • [6] Euler,L., (1780), De curvis triangularibus, Acta Acad. Prtropol., 1778, pp. 3-30.
  • [7] Fujivara,M., (1914), On space curves of constant breadth. Tohoku Math. J., 5, pp. 179-184.
  • [8] K¨ose,O., (1984), Some properties of ovals and curves of constant width in a plane. Do˘ga Math., ¨ 8:119-126.
  • [9] K¨ose,O., (1986), On space curves of constant breadth. Do˘ga Math., 10:11-14. ¨
  • [10] Ma˘gden,A. and K¨ose,O., (1997), On the curves of constant breadth in ¨ E 4 space. Turk. J. Math., 21, pp. 227-284.
  • [11] Reuleaux,F., (1963), The Kinematics of Machinery, trans. A. Kennedy, Dover, New York (reprint of 1876 translation of 1875 German original).
  • [12] Yılmaz,S., Savci,U.Z. and Turgut,M., (2014), Characterizations of curves of constant breadth in ¨ Galilean 3-space G 3, J. of Adv. Res. Pure Math., 6 (1), pp. 19-24
Yıl 2016, Cilt: 6 Sayı: 1, 64 - 69, 01.06.2016

Öz

Kaynakça

  • [1] Akdogan,Z. and Ma˘gden,A., (2001), Some characterizations of curves of constant breadth in En space, Turk. J. Math., 25, pp. 433-444.
  • [2] Ball,N.H., (1930), On ovals, Amer. Math. Month., 27, pp. 348-353.
  • [3] Blaschke,W., (1915), Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Math. Ann., 76, pp. 504-513.
  • [4] Divjak,B., (1998), Curves in pseudo-Galilean geometry. Annales Univ. Budapest, 41, pp. 117-128.
  • [5] Erjavec,Z. and Divjak,B., (2008), The equiform differential geometry of curves in the pseudo-Galilean space, Math. Comm.,13, pp. 321-332.
  • [6] Euler,L., (1780), De curvis triangularibus, Acta Acad. Prtropol., 1778, pp. 3-30.
  • [7] Fujivara,M., (1914), On space curves of constant breadth. Tohoku Math. J., 5, pp. 179-184.
  • [8] K¨ose,O., (1984), Some properties of ovals and curves of constant width in a plane. Do˘ga Math., ¨ 8:119-126.
  • [9] K¨ose,O., (1986), On space curves of constant breadth. Do˘ga Math., 10:11-14. ¨
  • [10] Ma˘gden,A. and K¨ose,O., (1997), On the curves of constant breadth in ¨ E 4 space. Turk. J. Math., 21, pp. 227-284.
  • [11] Reuleaux,F., (1963), The Kinematics of Machinery, trans. A. Kennedy, Dover, New York (reprint of 1876 translation of 1875 German original).
  • [12] Yılmaz,S., Savci,U.Z. and Turgut,M., (2014), Characterizations of curves of constant breadth in ¨ Galilean 3-space G 3, J. of Adv. Res. Pure Math., 6 (1), pp. 19-24
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Y. Ünlütürk Bu kişi benim

M. Dede Bu kişi benim

Ü. Z. Savcı Bu kişi benim

C. Ekici Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 6 Sayı: 1

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