MT SARIAYDIN, A YAZLA – The Eurasia Proceedings of Science Technology …, 2022
Tzitzeica curve is a special spatial curve, which introduced Gheorghe Tzitzeica in 1911. Gheorghe Tzitzeica defined this curve as follows; for a spatial curve ϕ,” if the ratio of its torsion τ and the square of the distance d from the origin to the osculating plane at an arbitrary point of the curve is constant, then this spatial curve is a Tzitzeica curve in Euclidean space.” Moreover Gheorghe Tzitzeica defined a special
surface which is named Tzitzeica surface in 1907. In this surface, the asymptotic lines …
T KORPINAR, A SAZAK, Z KORPINAR – Journal of Science and Arts, 2022
In this work, we obtain new results by examining the adjoint curve and focal curve,
which are examples of associated curves. In particular, we examine the focal curve of
the adjoint curve of a timelike curve we have described with quasi-frame (Q-frame)
elements in 3D Minkowski space 3 1 M. We first characterize the focal curves of
adjoint curves by considering the Q-frame in 3 1 M. Next, we determine the focal
curvatures of this curve. In the last section, we give some results by obtaining the …
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