Research Article
BibTex RIS Cite

On The Motion Of The Frenet Trihedron of a Space Curve

Year 1968, Volume: 17 , - , 01.01.1968
https://doi.org/10.1501/Commua1_0000000589

Abstract

in 1963 Hans Vogler in his paper called “Dje auf einer Torse verlaufenden Linien konstanten Gratabstandes als duale Seitenstücke zu den pseudorektifizieren den Torsen einer Raumkurve” has studied the geometrical varieties formed by the elements of the moving FRENET trihedron along the curve traced on a developable at a constant distance froih its edge of regression. The developable itself is the dual correspondiug of the pseudö-rectifying developable of a space curve.
In this paper we have studied the geometrical varieties of the elements of the ıçoving Frenet trihedron along the parametric curves of the skew surface generated by a straight line fastened, in the rectifying plane, to the moving Frenet trihedron of a space curve.
The parametric curves vzhich are taken into consideration have given more general results than the curves at a constant distance fcom the edge of regression. Thus we were able to deduce the same results of Hans Vogler as special cases of the problem.

References

  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Year 1968, Volume: 17 , - , 01.01.1968
https://doi.org/10.1501/Commua1_0000000589

Abstract

References

  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

H . Hilmi Hacısalihoğlu This is me

Publication Date January 1, 1968
Submission Date January 1, 1968
Published in Issue Year 1968 Volume: 17

Cite

APA Hacısalihoğlu, H. .. H. (1968). On The Motion Of The Frenet Trihedron of a Space Curve. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 17. https://doi.org/10.1501/Commua1_0000000589
AMA Hacısalihoğlu H.H. On The Motion Of The Frenet Trihedron of a Space Curve. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1968;17. doi:10.1501/Commua1_0000000589
Chicago Hacısalihoğlu, H . Hilmi. “On The Motion Of The Frenet Trihedron of a Space Curve”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 17, January (January 1968). https://doi.org/10.1501/Commua1_0000000589.
EndNote Hacısalihoğlu H.H (January 1, 1968) On The Motion Of The Frenet Trihedron of a Space Curve. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 17
IEEE H. .. H. Hacısalihoğlu, “On The Motion Of The Frenet Trihedron of a Space Curve”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 17, 1968, doi: 10.1501/Commua1_0000000589.
ISNAD Hacısalihoğlu, H . Hilmi. “On The Motion Of The Frenet Trihedron of a Space Curve”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 17 (January 1968). https://doi.org/10.1501/Commua1_0000000589.
JAMA Hacısalihoğlu H.H. On The Motion Of The Frenet Trihedron of a Space Curve. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1968;17. doi:10.1501/Commua1_0000000589.
MLA Hacısalihoğlu, H . Hilmi. “On The Motion Of The Frenet Trihedron of a Space Curve”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 17, 1968, doi:10.1501/Commua1_0000000589.
Vancouver Hacısalihoğlu H.H. On The Motion Of The Frenet Trihedron of a Space Curve. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1968;17.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.