Results 11 to 20 of about 2,758,824 (250)

Evolution of Space Curves and the Special Ruled Surfaces With Modified Orthogonal Frame

AIMS Mathematics, 2020
In this study, we investigate the evolution of space curves and the special ruled surfaces with modified orthogonal frame. Firstly, we recall the relations between the Serret-Frenet frame and the modified orthogonal frame.
Kemal Eren, Hidayet Huda Kosal
exaly   +7 more sources

Tubular Surfaces of Adjoint Curves According to the Modified Orthogonal Frame

Black Sea Journal of Engineering and Science
In this paper, we study tubular surfaces defined by adjoint curves which have a wide range of applications. In three-dimensional Euclidean space, we consider tubular surfaces in modified orthogonal frame generated by a curve β whose center curve is ...
Burçin Saltık, Esra Damar, Nural Yuksel   +2 more
exaly   +6 more sources

On the Curve Evolution With a New Modified Orthogonal Saban Frame [PDF]

AIMS Mathematics
The flow of a curve is said to be inextensible if the arc length in the first case and the intrinsic curvature in the second case are preserved. In this work, we investigated the inextensible flow of a curve on $ S^2 $ according to a modified orthogonal ...
Atakan Tuǧkan Yakut, Alperen Kızılay
exaly   +5 more sources

Spherical Curves with Modified Orthogonal Frame with Torsion

Turkish Journal of Science, 2022
In this paper, we studied the spherical curves according to modified orthogonal frame with torsion in 3 dimensional Euclidean space. We obtained the center, the radius and spherical condition of spherical curves according to the 3 dimensional Euclidean ...
Nural Yuksel, Murat Kemal Karacan, Tugba Demirkıran   +2 more
semanticscholar   +7 more sources

On Some Curves with Modified Orthogonal Frame in Euclidean 3-Space [PDF]

Iranian Journal of Science and Technology, Transactions A: Science, 2018
In this paper, we study helices and the Bertrand curves. We obtain some of the classification results of these curves with respect to the modified orthogonal frame in Euclidean 3-spaces.
M. S. Lone, Hasan Es, M. K. Karacan, Bahaddin Bukcu   +3 more
semanticscholar   +7 more sources

On Characterization of Smarandache Curves Constructed by Modified Orthogonal Frame

Mathematical Sciences and Applications E-Notes
In this study, we investigate Smarandache curves constructed by a space curve with a modified orthogonal frame. Firstly, the relations between the Frenet frame and the modified orthogonal frame are summarized.
Kemal Eren, Soley Ersoy
exaly   +4 more sources

On the Modified Orthogonal Frame With Curvature and Torsion in 3-Space

Mathematical Sciences and Applications E-Notes, 2016
In this paper, we study the modified orthogonal vector fields with curvature and torsion of a space curve in Minkowski 3-Space.
Murat Kemal Karacan
exaly   +5 more sources

A New Approach to Special Curved Surface Families According to Modified Orthogonal Frame

AIMS Mathematics
The main purpose of this paper was to investigate the problem of finding the surface family with respect to two different types of modified orthogonal frames defined for curves with curvature and torsion different from zero, respectively.
G. S. Atalay
exaly   +4 more sources

Geometric analysis of translation surfaces based on special curves in the modified orthogonal frame

AIMS Mathematics
The geometry of translation surfaces generated by curves related by the modified orthogonal frame in Euclidean 3-space was investigated in this paper.
B. Baek, N. Yüksel
semanticscholar   +3 more sources

INVOLUTE-EVOLUTE CURVES ACCORDING TO MODIFIED ORTHOGONAL FRAME

Journal of Science and Arts, 2021
In this paper, the involute-evolute curve concept has been defined according to two type modified orthogonal frames at non-zero points of curvature and torsion in the Euclidean space E^3 , respectively.
A. Z. Azak
semanticscholar   +2 more sources