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Parametric Equations for Space Curves Whose Spherical Images Are Slant Helices

Author

Listed:
  • 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.

Suggested Citation

  • Abderrazzak EL HAIMI & Malika IZID & Amina OUAZZANI CHAHDI, 2019. "Parametric Equations for Space Curves Whose Spherical Images Are Slant Helices," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(5), pages 82-88, October.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:5:p:82
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    More about this item

    Keywords

    alternative moving frame; intrinsic equations; slant-slant helix;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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