Abstract:The first and second derivatives of a curve provide us fundamental
information in the study of the behavior of curve near a point. However,
if a curve is a polynomial space curve of degree n, we don’t know what
is the geometric meaning of the n-th derivative of the curve? There is no
doubt that the Frenet frame is not suitable for this purpose because it is
constructed by using first and second derivatives of a curve. On the other
hand, in this paper by using a new frame cal… Show more
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