TY - JOUR T1 - Another application of Smarandache based ruled surfaces with the Darboux vector according to Frenet frame in $E^{3}$ AU - Gür Mazlum, Sümeyye AU - Şenyurt, Süleyman AU - Canlı, Davut AU - Çan, Elif PY - 2023 DA - December Y2 - 2023 DO - 10.31801/cfsuasmas.1151064 JF - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JO - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. PB - Ankara University WT - DergiPark SN - 1303-5991 SP - 880 EP - 906 VL - 72 IS - 4 LA - en AB - In this study, we first define the Smarandache curves derived from the Frenet vectors and the Darboux vector of any curve. Then, we construct new ruled surfaces along these Smarandache curves with the direction vectors obtained from the Frenet vectors and the Darboux vector, and give the equations of these surfaces. 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