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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1992 |
Submission Date | January 1, 1992 |
Published in Issue | Year 1992 Volume: 41 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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