SLANT RULED SURFACES GENERATED BY THE STRICTION CURVES OF THE HYPER-DUAL CURVES
Abstract
In this paper, exploitting some considerable properties of hyper-dual curves
and the concept of unit hyper-dual sphere, we show that each striction curve of the hyper-
dual curve denotes two slant ruled surfaces in R
3
. Moreover, these slant ruled surfaces
have a common striction curve. Then, we prove that the normal vectors of these slant
ruled surfaces are orthogonal along the common base curve. Consequently, we give an
example to verify the obtained results.
and the concept of unit hyper-dual sphere, we show that each striction curve of the hyper-
dual curve denotes two slant ruled surfaces in R
3
. Moreover, these slant ruled surfaces
have a common striction curve. Then, we prove that the normal vectors of these slant
ruled surfaces are orthogonal along the common base curve. Consequently, we give an
example to verify the obtained results.
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