Calculation of the differential equations and harmonicity of the involute curve according to unit Darboux vector with a new method

Authors : Süleyman ŞENYURT, Osman ÇAKIR

Pages : 63-72

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Publication Date : 2020-10-31

Article Type : Research Paper

Abstract :In this study we first write the characterizations of involute of a curve by means of the unit Darboux vector of the involute curve. Then we make use of the Frenet formulas [1] to explain the characterizations of involute of a curve by means of Frenet apparatus of the main curve. Finally we examined the helix as an example.
Keywords : unit Darboux vector, Laplace operator, biharmonic