- Turkish Journal of Science
- Vol: 5 Issue: 2
- Calculation of the differential equations and harmonicity of the involute curve according to unit Da...
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
View : 8 | Download : 2
Publication Date : 2020-10-31
Article Type : Research
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