On The Motion Of The Frenet Trihedron of a Space Curve

H . Hilmi HACISALİHOĞLU

doi:https://doi.org/10.1501/Commua1_0000000589

Makale detayları

On The Motion Of The Frenet Trihedron of a Space Curve

Yazarlar:

H . Hilmi HACISALİHOĞLU

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1968 Vol.17

Belge Tipi:

Makale

Yayın Tarihi:

12/1967

Belge Dili:

İngilizce

Document ID (Org No.):

2000910747

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000589

Özet:

 

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.

Makale detayları

On The Motion Of The Frenet Trihedron of a Space Curve

Yazarlar: H . Hilmi HACISALİHOĞLU

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1968 Vol.17

Belge Tipi: Makale

Yayın Tarihi: 12/1967

Belge Dili: İngilizce

Document ID (Org No.): 2000910747

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.1501/Commua1_0000000589

Sayı

Yazarlar:

H . Hilmi HACISALİHOĞLU

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1968 Vol.17

Belge Tipi:

Makale

Yayın Tarihi:

12/1967

Belge Dili:

İngilizce

Document ID (Org No.):

2000910747

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000589