In this study, the modified frames with both the non-zero curvature and the torsion of the non-unit speed curves in Euclidean space E3 are examined. The relationships between the derivative vectors of the modified frames and the Frenet vectors or the vectors of the modified frames of the curve are given. Besides, the Darboux vectors obtained from the modified orthogonal frames with both the curvature and torsion of the curve and the unit vectors in the direction of these Darboux vectors are investigated. Finally, all these results are shown on the example curves.
Makalemize kıymetli zamanlarını ayırarak, fikir ve katkılarını bizlerle paylaşacak olan hakemlere ve makalemizle ilgilenecek olan derginin editörlerine şimdiden en içten duygularımızla teşekkür ederiz.
Primary Language | English |
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Journal Section | Volume VII Issue II |
Authors | |
Publication Date | September 30, 2022 |
Published in Issue | Year 2022 Volume: 7 Issue: 2 |