Article
Calculation of the differential equations and harmonicity of the involute curve according to unit Darboux vector with a new method
Authors
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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 obtained by O. C¸ akır and S. S¸enyurt 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, connection, involute curve, biharmonic, differential equation, Laplace operator.
Citation
Senyurt, S. & Cakır, O. (2020). Calculation of the differential equations and harmonicity of the involute curve according to unit darboux vector with a new method. Turkish Journal of Science, 5(2), 63–72. https://doi.org/10.66833/TJOS-2020-0009
S. Senyurt and O. Cakır, “Calculation of the differential equations and harmonicity of the involute curve according to unit darboux vector with a new method,” Turkish Journal of Science, vol. 5, no. 2, pp. 63–72, 2020, doi: 10.66833/TJOS-2020-0009.
Senyurt S, Cakır O. Calculation of the differential equations and harmonicity of the involute curve according to unit darboux vector with a new method. Turkish Journal of Science. 2020;5(2):63–72. doi:10.66833/TJOS-2020-0009.
Senyurt, S. and Cakır, O. (2020), ‘Calculation of the differential equations and harmonicity of the involute curve according to unit darboux vector with a new method’, Turkish Journal of Science, 5(2), pp. 63–72. Available at: https://doi.org/10.66833/TJOS-2020-0009.
Senyurt, Suleyman, and Osman Cakır. “Calculation of the Differential Equations and Harmonicity of the Involute Curve According to Unit Darboux Vector with a New Method.” Turkish Journal of Science, vol. 5, no. 2, 2020, pp. 63–72. https://doi.org/10.66833/TJOS-2020-0009.
Senyurt, Suleyman, and Osman Cakır. “Calculation of the Differential Equations and Harmonicity of the Involute Curve According to Unit Darboux Vector with a New Method.” Turkish Journal of Science 5, no. 2 (2020): 63–72. https://doi.org/10.66833/TJOS-2020-0009.
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