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(9 citation statements)

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“…Theorem 2.1. see, [3,8] If the unit vector N 1 has a constant angle with the fixed unit vector, then the curve γ is said to be a slant helix. In addition, γ is a slant helix iff…”

confidence: 99%

“…Theorem 2.1. see, [3,8] If the unit vector N 1 has a constant angle with the fixed unit vector, then the curve γ is said to be a slant helix. In addition, γ is a slant helix iff…”

confidence: 99%

“…In addition, some characteristic properties of the ruled surface with Frenet frame of a non-cylindrical ruled surface were investigated in 2020 by Ouarab and Chahdi in [10]. Apart from Frenet frame, in [8] and in [17], Tunc ¸er, (2015) and Masal and Azak, (2019), separately, studied some characteristics of the ruled surfaces according to Bishop frame (introduced by Bishop, 1975 in [2]), whereas Ouarab et al (2018) provided the main properties of ruled surfaces according to alternative frame in [9]. Recently, Ouarab, (2021a) put forth a method to generate new ruled surfaces by taking the advantage of the idea of Smarandache geometry [1,18].…”

confidence: 99%

“…Bishop's framework is used in predicting the structural information of DNA in biology and controlling virtual cameras in the field of Computer Graphics. The readers are referred to the studies [12][13][14][15][16][17][18] which are related to Bishop frame. This article is organized as follows.…”

confidence: 99%

“…Many geometers have studied some of the differential geometric concepts of the ruled surfaces by means of different moving frames, such as the Frenet-Serret frame, alternative frame, and Bishop frame [6][7][8].…”

confidence: 99%