Parametric Equations for Space Curves Whose Spherical Images Are Slant Helices


  •  Abderrazzak EL HAIMI    
  •  Malika IZID    
  •  Amina OUAZZANI CHAHDI    

Abstract

The curve whose tangent and binormal indicatrices are slant helices is called a slant-slant helix.

In this paper, we give a new characterization of a slant-slant helix and determine a vector differential equation of the third order satisfied by the derivative of principal normal vector fields of a regular curve. In terms of solution, we determine the parametric representation of the slant-slant helix from the intrinsic equations.

Finally, we present some examples of slant-slant helices by means of intrinsic equations.



This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9795
  • Issn(Onlne): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

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