Moreover, the param eters of distribution, the pitehes, and the apex angles of th e moving and fixed ruled surfaces which are correspond to each other under the sym m etric hom othetic m otion of order k were given.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, after presenting a sum m ary of known results of the hom othetic m otions and the generalized ruled surfaces in the Euclidean space E n , A sym m etric lıom othetic motion of order k was defined and it was shown th a t a sym m etric hom othetic m otion of order k of E n is a reflection w ith respect to the (n--k—m)— dimensional subspace of E n .
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Key Findings & Data:In this paper, after presenting a sum m ary of known results of the hom othetic m otions and the generalized ruled surfaces in the Euclidean space E n , A sym m etric lıom othetic motion of order k was defined and it was shown th a t a sym m etric hom othetic m otion of order k of E n is a reflection w ith respect to the (n--k—m)— dimensional subspace of E n .
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Conclusion & Impact:Moreover, the param eters of distribution, the pitehes, and the apex angles of th e moving and fixed ruled surfaces which are correspond to each other under the sym m etric hom othetic m otion of order k were given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:symmetric · helical · euclidean
Abstract
In this paper, after presenting a sum m ary of known results of the hom othetic m otions and the generalized ruled surfaces in the Euclidean space E n , A sym m etric lıom othetic motion of order k was defined and it was shown th a t a sym m etric hom othetic m otion of order k of E n is a reflection w ith respect to the (n--k—m)— dimensional subspace of E n . Moreover, the param eters of distribution, the pitehes, and the apex angles of th e moving and fixed ruled surfaces which are correspond to each other under the sym m etric hom othetic m otion of order k were given.
Aydemir, İ. (1992). On the pair of axoids under the symmetric helical motion of order k in the euclidean space En. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 41. https://doi.org/10.1501/Commua1_0000000492