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   Generalization of General Helices and Slant Helices  
   
نویسنده Ali Ahmet
منبع Journal Of Mahani Mathematical Research - 2017 - دوره : 6 - شماره : 1 - صفحه:25 -41
چکیده    In this work, we use the formal de nition of k-slant helix [5] to obtain the intrinsic equations as well as the position vector for slant-slant helices which a generalization of general helices and slant helices. also, we present some characterizations theorems for k-slant helices and derived, in gen- eral form, the intrinsic equations for such curves. thereafter, from a salkowski curve, anti-salkowski curve, a curve of constant precession and spherical slant helix, as examples of slant helices, we apply this method to nd the paramet- ric representation of some slant-slant helices by means of intrinsic equations. finally, the parametric representation and the intrinsic equations of slakowski slant-slant and anti-slakowski slant-slant helices have been given.
کلیدواژه General Helix; Slant Helix; Slant-Slant Helix; K-Slant Helix
آدرس Al-Azhar University, Department Of Mathematics, Faculty Of Science, KingAbdulaziz University, Saudi Arabia. Al-AzharUniversity, Faculty Of Science, Department Of Mathematics, Egypt
پست الکترونیکی atali71@yahoo.com
 
     
   
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