Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

On The Curves $N-T^{\ast }N^{\ast }$ in $E^3$

Yazarlar: Şeyda KILIÇOGLU, Süleyman ŞENYURT

Cilt 12 , Sayı 2 , 2020 , Sayfalar 161 - 165

Konular:Matematik

DOI:10.47000/tjmcs.616122

Anahtar Kelimeler:Associated curves,Mannheim curves,Bertrand pairs

Özet: In this paper we have defined and examined the new kind curves, with the principal normal vector of the first curve and the vector lying on the osculator plane of the second curve are linearly dependent. As a result we have called these new curves as $N-T^{\ast }N^{\ast }$ curves. Also similiar to the other offset curves under the spesific condition, we give Frenet apparatus of the second curve based on the Frenet apparatus of the first curve.


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BibTex
KOPYALA
@article{2020, title={On The Curves $N-T^{\ast }N^{\ast }$ in $E^3$}, volume={12}, number={161–165}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Şeyda KILIÇOGLU,Süleyman ŞENYURT}, year={2020} }
APA
KOPYALA
Şeyda KILIÇOGLU,Süleyman ŞENYURT. (2020). On The Curves $N-T^{\ast }N^{\ast }$ in $E^3$ (Vol. 12). Vol. 12. Turkish Journal of Mathematics and Computer Science.
MLA
KOPYALA
Şeyda KILIÇOGLU,Süleyman ŞENYURT. On The Curves $N-T^{\ast }N^{\ast }$ in $E^3$. no. 161–165, Turkish Journal of Mathematics and Computer Science, 2020.