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   the generalization of helices  
   
نویسنده takahashi takeshi
منبع caspian journal of mathematical sciences - 2019 - دوره : 8 - شماره : 2 - صفحه:178 -195
چکیده    We defined new special curves in euclidean 3-space which refer to clad helices and found the geometric invariants of clad helices [17]. these notions are generalizations of the notion of cylindrical helices and slant helices. using the geometric invariants of clad helices in this article, we proposed approaches to construct examples of clad helices in e3 and on s2. moreover, we obtained the classification of special developable surfaces under the condition of the existence of clad helices as a geodesic and existence of slant helices as a line of curvature.
کلیدواژه clad helices ,slant helices ,gauss map ,spherical involute ,developable surface
آدرس nagaoka meitoku high school, japan
پست الکترونیکی m121703n@st.u-gakugei.ac.jp
 
     
   
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