TY - JOUR T1 - On Bishop Frames of Any Regular Curve in Euclidean 3-Space TT - 3-Boyutlu Öklid Uzayında Regüler Bir Eğrinin Bishop Çatıları Üzerine AU - Gür Mazlum, Sümeyye PY - 2024 DA - February DO - 10.35414/akufemubid.1343172 JF - Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi PB - Afyon Kocatepe University WT - DergiPark SN - 2149-3367 SP - 23 EP - 33 VL - 24 IS - 1 LA - en AB - Relationships between type-1 Bishop and Frenet, type-2 Bishop and Frenet, alternative and Frenet, N-Bishop and alternative frames of any regular curve in Euclidean 3-space are known. In this study, relationships between N-Bishop and Frenet frames and relationships between type-1 Bishop, type-2 Bishop and N-Bishop frames of any regular curve in Euclidean 3-space are given. In addition, pole vectors (unit vectors in the direction of Darboux vectors) belonging to these frames are computed. Last, pole and Darboux vectors belonging to these frames are compared with each other. KW - type-1 Bishop frame KW - Type-2 Bishop frame KW - alternatif frame KW - N-Bishop frame KW - Frenet frame KW - darboux vektörü N2 - 3-boyutlu Öklid uzayında herhangi bir regüler eğrinin tip-1 Bishop ve Frenet, tip-2 Bishop ve Frenet, alternatif ve Frenet, N-Bishop ve alternatif çatıları arasındaki ilişkiler bilinmektedir. Bu çalışmada, 3-boyutlu Öklid uzayında herhangi bir regüler eğrinin N-Bishop ve Frenet çatıları arasındaki ilişkiler ve tip-1 Bishop, tip-2 Bishop ve N-Bishop çatıları arasındaki ilişkiler verilmiştir. Ayrıca bu çatılara ait pol vektörleri (Darboux vektörü yönündeki birim vektörler) hesaplanmıştır. Son olarak pol ve Darboux vektörleri birbirleriyle karşılaştırılmıştır. CR - Alıç, Ş. and Yılmaz, B., 2021. Smarandache Curves According to Alternative Frame in . Journal of Universal Mathematics, 4, 140–156. https://www.doi.org.tr/10.33773/jum.956862 CR - Bishop, R.L., 1975. There is more than one way to frame a curve. 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