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QUASI FOCAL CURVES OF ADJOINT CURVES OF TIMELIKE CURVES IN 3D MINKOWSKI SPACE

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) …

[PDF] A Study Of The Evolution Of Space Curves With Modified Orthogonal Frame In Euclidean 3-Space

K Eren – Applied Mathematics E-Notes, 2022

In this study, we investigate the evolution of a moving space curve with a modified orthogonal frame. Firstly, the relations between the Frenet frame and the modified orthogonal frame is given. Later, the time evolution equation and curvatures of a …

[PDF] On Tzitzeica Curves According to Q-Frame in Euclidean 3-Space

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 …