Browsing by Author "Senyurt, S"

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    ON THE SABBAN FRAME BELONGING TO INVOLUTE-EVOLUTE CURVES
    Senyurt, S; Altun, Y; Cevahir, C; Kocayigit, H
    In this paper, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We create Sabban frame belonging to spherical indicatrix of involute curve. Smarandache curves are explained by Sabban vectors belonging to spherical indicatrix. Then, we calculate geodesic curvatures of this Smarandache curves. The results found for each curve is given depending on evolute curve. The example related to the subject is given and their figures are drawn with MAPPLE program.
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    SOME SPECIAL CURVES BELONGING TO MANNHEIM CURVES PAIR
    Senyurt, S; Altun, Y; Cevaihr, C; Kocayigit, H
    In this paper, we investigate special Smarandache curves with regard to Sabban frame for Mannheim partner curve spherical indicatrix. We create Sabban frame belonging to this curves. Smarandache curves are explained by taking position vector as Sabban vectors belonging to this curves. Then, we calculate geodesic curvatures of this Smarandache curves. Found results are expressed depending on the Mannheim curve.