- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 41
- On the pair of axoids under the symmetric helical motion of order k in the euclidean space En
On the pair of axoids under the symmetric helical motion of order k in the euclidean space En
Authors : Ismail Aydemir
Pages : 0-0
Doi:10.1501/Commua1_0000000492
View : 6 | Download : 5
Publication Date : 1992-01-01
Article Type : Research
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.Keywords : symmetric, helical, euclidean