Surfaces at a constant distance from the edge of regression on a surface of revolution in E^3

Çakmak, Ali; Tarakci, Ömer

doi:10.12988/ams.2016.53222

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2023

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“…They were able to find the focal surfaces of a given surface by means of parallel-like surfaces [13]. In 2016, Çakmak and Tarakcı have examined parallel-like surfaces of surface of revolution and they have worked curves on these surfaces in another paper [1,2]. In this study, the Darboux frame of curves lying on parallel-like surfaces in E 3 will be investigated.…”

Section: Introductionmentioning

confidence: 99%

Image Curves on the Parallel-like Surfaces in E³

Yurttancikmaz

Tarakci

2023

International Electronic Journal of Geometry

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In this paper, it's introduced the curves lying on parallel-like surface M^{f} of a surface M in Euclidean space. Taking into account the definition of the parallel-like surface it's obtained parametric expression of these curves and examined the Darboux frame for these curves which we call image curves. And finally, the curves lying on the surfaces M and M^{f} are compared by considering their geodesic and normal curvatures, the geodesic torsion.

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Section: Introductionmentioning

confidence: 99%