Intrinsic Equations of Some Special Curves in Euclidean 3-Space

References

• Ali , A.T. 2010 . Position vectors of spacelike general helices in Minkowski 3-space . Nonl. Anal. Theory Meth. Appl , 73 : 1118 – 1126 .
   Google Scholar
• Ali , A.T. and Turgut , M. 2010 . Position vector of a time-like slant helix in Minkowski 3-space . J. Math. Anal. Appl , 365 : 559 – 569 .
   Google Scholar
• Ali , A.T. 2010 . Position vectors of general helices in Euclidean 3-space . Bull. Math. Anal. Appl , 3 ( 2 ) : 198 – 205 .
   Google Scholar
• Ali , A.T. 2012 . Position vectors of slant helices in Euclidean 3-space . J. Egyptian Math. Soc , 20 : 1 – 6 .
   Google Scholar
• Ali , A.T. 2012 . New special curves and their spherical indicatrices . Global J. Adv. Res. Class. Mod. Geom , 1 ( 2 ) : 28 – 38 .
   Google Scholar
• Barros , M. 1997 . General helices and a theorem of Lancret . Proc. Amer. Math. Soc , 125 : 1503 – 1509 .
   Google Scholar
• Do Carmo , M.P. 1976 . Differential Geometry of Curves and Surfaces , Englewood Cliffs , NJ : Prentice Hall .
   Google Scholar
• Izumiya , S. and Takeuchi , N. 2004 . New special curves and developable surfaces . Turk. J. Math , 28 : 531 – 537 .
   Google Scholar
• Izumiya , S. and Takeuchi , N. 2002 . Generic properties of helices and Bertrand geometry . J. Geom , 74 : 97 – 109 .
   Google Scholar
• Kula , L. and Yayli , Y. 2005 . On slant helix and its spherical indicatrix . Appl. Math. Comp , 169 : 600 – 607 .
   Web of Science ®Google Scholar
• Kula , L. , Ekmekci , N. , Yayli , Y. and Ilarslan , K. 2010 . Characterizations of slant helices in Euclidean 3-space . Turk. J. Math , 34 : 261 – 274 .
   Web of Science ®Google Scholar
• Monterde , J. 2007 . Curves with constant curvature ratios . Bull. Mexican Math. Soc. 3a , 13 : 177 – 186 .
   Google Scholar
• Monterde , J. 2009 . Salkowski curves revisted: A family of curves with constant curvature and nonconstant torsion . Comput. Aided Geomet. Design , 26 : 271 – 278 .
   Web of Science ®Google Scholar
• Salkowski , E. 1909 . Zur transformation von raumkurven . Mathematische Annalen , 66 : 517 – 557 .
   Google Scholar
• Struik , D.J. 1961 . Lectures in Classical Differential Geometry , Reading , MA : Addison-Wesley .
   Google Scholar