IDEAS home Printed from https://ideas.repec.org/a/ibn/jmrjnl/v12y2020i1p84.html
   My bibliography  Save this article

Some Associated Curves of Normal Indicatrix of a Regular Curve

Author

Listed:
  • Nidal ECHABBI
  • Amina OUAZZANI CHAHDI

Abstract

In this paper, we consider integral curves of a vector field generated by Frenet vectors of normal indicatrix of a given curve in Euclidean 3-space. We define some new associated curves such as evolute direction curves, Bertrand direction curves and Mannheim directon curves of the normal indicatrix of a regular curve, respectively. We also found the relationships between curvatures of these curves. By using these associated curves, we give a new approach to construct slant helices and C- slant helices. Finally, we present some examples.

Suggested Citation

  • Nidal ECHABBI & Amina OUAZZANI CHAHDI, 2020. "Some Associated Curves of Normal Indicatrix of a Regular Curve," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 12(1), pages 1-84, February.
    • Handle: RePEc:ibn:jmrjnl:v:12:y:2020:i:1:p:84
    as

    Download full text from publisher

    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/download/0/0/41954/43626
    Download Restriction: no
    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/view/0/41954
    Download Restriction: no
    ---><---

    More about this item

    JEL classification:

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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ibn:jmrjnl:v:12:y:2020:i:1:p:84. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.