Pedal curves obtained from Frenet vector of a space curve and Smarandache curves belonging to these curves

Pedal curves obtained from Frenet vector of a space curve and Smarandache curves belonging to these curves

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In this study, first the pedal curves as the geometric locus of perpendicular projections to the Frenet vectors of a space curve were defined and the Frenet vectors, curvature, and torsion of these pedal curves were MIGRATING AUTOLUX WEBSITE FROM MODX TO PHALCONPHP WITH FURTHER DEVELOPMENTS (Search Engine Optimization and Mobile Application Support Implementation) calculated.Second, for each pedal curve, Smarandache curves were defined by Impact of environmental changes on the behavioral diversity of the Odonata (Insecta) in the Amazon taking the Frenet vectors as position vectors.Finally, the expressions of Frenet vectors, curvature, and torsion related to the main curves were obtained for each Smarandache curve.Thus, new curves were added to the curve family.