Ayyıldız, N., Çöken, A.C., Yücesan, A., A Characterization of Dual Lorentzian Spherical Curves in the Dual Lorentzian Space, Taiwanese Journal of Mathematics, 11(4), 999-1018 (2007).
Ball, N. H., On Ovals, American Mathematical Monthly, 37(7), 348-353 (1930).
Barbier, E., Note sur le probleme de l’aiguille et le jeu du joint couvert. J. Math. Pures Appl., II. Ser. 5, 273-286 (1860).
Blaschke, W., Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Mathematische Annalen, B. 76(4), 504-513 (1915).
Blaschke, W., Einige Bemerkungen über Kurven und Flächen konstanter Breite. Ber. Verh. Sächs. Akad. Leipzig, 67, 290-297 (1915).
Blaschke, W., Differential Geometric and Geometrischke Grundlagen ven Einsteins Relativitasttheorie Dover, New York, (1945).
Hacısalihoğlu, H.H., Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edb. Fakültesi, (1983)
Euler, L., De Curvis Triangularibus, Acta Acad. Petropol., 3-30 (1778-1780).
Fujivara, M., On space curves of constant breadth, Tohoku Math., J., 5, 180-184 (1914).
Kocayiğit, H., Önder, M., Space curves of constant breadth in Minkowski 3-space, Annali di Matematica, 192(5), 805-814, (2013).
Kazaz, M., Önder, M., Kocayiğit, H., Spacelike curves of constant breadth in Minkowski 4-space, Int. Journal of Math. Analysis, 22(2) 1061-1068 (2008).
Köse, Ö., On space curves of constant breadth, Doğa Tr. J. Math., 10(1), 11-14, (1986).
Köse, Ö., Some Properties of Ovals and Curves of Constant Width in a Plane, Doğa Mat., 2 (8) 119-126 (1984).
Mağden, A., Köse, Ö., On the curves of constant breadth in E^4 space, Turkish J. Math., 21 (3) 277-284 (1997).
Mellish, A.P., Notes of Differential Geometry, Annals of Mathematics, 32(1), 181-190 (1931).
Önder, M., Kocayiğit, H., Candan, E., Differential Equations Characterizing Timelike and Spacelike Curves of Constant Breadth in Minkowski 3-Space E_1^3, J. Korean Math. Soc. 48 (4) 849-866 (2011).
Sezer, M., Differential equations characterizing space curves of constant breadth and a criterion for these curves, Turkish J. of Math. 13(2), 70-78 (1989).
Struik, D. J., Differential Geometry in the Large, Bull. Amer. Math. Soc., 37(2), 49-62 (1931).
Veldkamp, G.R., On the use of dual numbers, vectors and matrices in instantaneous spatial kinematics, Mech. Mach. Theory, 11(2), 141-156 (1976).
Yılmaz, S., Time-like Dual Curves of Constant Breadth in Dual Lorentzian Space, IBSU Scientific Journal, 2 (2), 129-136 (2008).
Dual Curves of Constant Breadth in Dual Euclidean Space D^3
In this paper, we study dual curves of constant
breadth in dual Euclidean Space . We obtain the differential equations characterizing dual curves of
constant breadth in and we introduce some special cases
for these dual curves.
Ayyıldız, N., Çöken, A.C., Yücesan, A., A Characterization of Dual Lorentzian Spherical Curves in the Dual Lorentzian Space, Taiwanese Journal of Mathematics, 11(4), 999-1018 (2007).
Ball, N. H., On Ovals, American Mathematical Monthly, 37(7), 348-353 (1930).
Barbier, E., Note sur le probleme de l’aiguille et le jeu du joint couvert. J. Math. Pures Appl., II. Ser. 5, 273-286 (1860).
Blaschke, W., Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Mathematische Annalen, B. 76(4), 504-513 (1915).
Blaschke, W., Einige Bemerkungen über Kurven und Flächen konstanter Breite. Ber. Verh. Sächs. Akad. Leipzig, 67, 290-297 (1915).
Blaschke, W., Differential Geometric and Geometrischke Grundlagen ven Einsteins Relativitasttheorie Dover, New York, (1945).
Hacısalihoğlu, H.H., Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edb. Fakültesi, (1983)
Euler, L., De Curvis Triangularibus, Acta Acad. Petropol., 3-30 (1778-1780).
Fujivara, M., On space curves of constant breadth, Tohoku Math., J., 5, 180-184 (1914).
Kocayiğit, H., Önder, M., Space curves of constant breadth in Minkowski 3-space, Annali di Matematica, 192(5), 805-814, (2013).
Kazaz, M., Önder, M., Kocayiğit, H., Spacelike curves of constant breadth in Minkowski 4-space, Int. Journal of Math. Analysis, 22(2) 1061-1068 (2008).
Köse, Ö., On space curves of constant breadth, Doğa Tr. J. Math., 10(1), 11-14, (1986).
Köse, Ö., Some Properties of Ovals and Curves of Constant Width in a Plane, Doğa Mat., 2 (8) 119-126 (1984).
Mağden, A., Köse, Ö., On the curves of constant breadth in E^4 space, Turkish J. Math., 21 (3) 277-284 (1997).
Mellish, A.P., Notes of Differential Geometry, Annals of Mathematics, 32(1), 181-190 (1931).
Önder, M., Kocayiğit, H., Candan, E., Differential Equations Characterizing Timelike and Spacelike Curves of Constant Breadth in Minkowski 3-Space E_1^3, J. Korean Math. Soc. 48 (4) 849-866 (2011).
Sezer, M., Differential equations characterizing space curves of constant breadth and a criterion for these curves, Turkish J. of Math. 13(2), 70-78 (1989).
Struik, D. J., Differential Geometry in the Large, Bull. Amer. Math. Soc., 37(2), 49-62 (1931).
Veldkamp, G.R., On the use of dual numbers, vectors and matrices in instantaneous spatial kinematics, Mech. Mach. Theory, 11(2), 141-156 (1976).
Yılmaz, S., Time-like Dual Curves of Constant Breadth in Dual Lorentzian Space, IBSU Scientific Journal, 2 (2), 129-136 (2008).
Kocayigit, H., & Erten, N. (2016). Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences, 4(3), 99-104.
AMA
Kocayigit H, Erten N. Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences. Eylül 2016;4(3):99-104.
Chicago
Kocayigit, Huseyin, ve Nihal Erten. “Dual Curves of Constant Breadth in Dual Euclidean Space D^3”. New Trends in Mathematical Sciences 4, sy. 3 (Eylül 2016): 99-104.
EndNote
Kocayigit H, Erten N (01 Eylül 2016) Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences 4 3 99–104.
IEEE
H. Kocayigit ve N. Erten, “Dual Curves of Constant Breadth in Dual Euclidean Space D^3”, New Trends in Mathematical Sciences, c. 4, sy. 3, ss. 99–104, 2016.
ISNAD
Kocayigit, Huseyin - Erten, Nihal. “Dual Curves of Constant Breadth in Dual Euclidean Space D^3”. New Trends in Mathematical Sciences 4/3 (Eylül 2016), 99-104.
JAMA
Kocayigit H, Erten N. Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences. 2016;4:99–104.
MLA
Kocayigit, Huseyin ve Nihal Erten. “Dual Curves of Constant Breadth in Dual Euclidean Space D^3”. New Trends in Mathematical Sciences, c. 4, sy. 3, 2016, ss. 99-104.
Vancouver
Kocayigit H, Erten N. Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences. 2016;4(3):99-104.