EN
On Jacobi’s Theorems
Abstract
In this paper, J. Jacobi’s Theorems [9] have been considered for the spherical curves drawn on the unit dual sphere during the closed space motions. The integral invariants of the ruled surfaee corresponding, in the line space, to the spherical curve dtawn by a fixed point on the moving unit dual sphere during the one-parameter closed motion were calculated with a different approach from the area vector used by H. R. Müller [11], In addition, the ruled surfaces corresponding to the curves drawn by the unit tangent vector, principal normal vector or a unit vector on the osculating plane of the mentioned curve, were seen to be cones with this approach.
Keywords
References
- Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
H. Bayram Karadağ
This is me
Türkiye
Publication Date
January 1, 1998
Submission Date
January 1, 1998
Acceptance Date
-
Published in Issue
Year 1970 Volume: 47
APA
Karadağ, H. B. (1998). On Jacobi’s Theorems. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 47. https://doi.org/10.1501/Commua1_0000000405
AMA
1.Karadağ HB. On Jacobi’s Theorems. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998;47. doi:10.1501/Commua1_0000000405
Chicago
Karadağ, H. Bayram. 1998. “On Jacobi’s Theorems”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47 (January). https://doi.org/10.1501/Commua1_0000000405.
EndNote
Karadağ HB (January 1, 1998) On Jacobi’s Theorems. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47
IEEE
[1]H. B. Karadağ, “On Jacobi’s Theorems”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 47, Jan. 1998, doi: 10.1501/Commua1_0000000405.
ISNAD
Karadağ, H. Bayram. “On Jacobi’s Theorems”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47 (January 1, 1998). https://doi.org/10.1501/Commua1_0000000405.
JAMA
1.Karadağ HB. On Jacobi’s Theorems. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998;47. doi:10.1501/Commua1_0000000405.
MLA
Karadağ, H. Bayram. “On Jacobi’s Theorems”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 47, Jan. 1998, doi:10.1501/Commua1_0000000405.
Vancouver
1.H. Bayram Karadağ. On Jacobi’s Theorems. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998 Jan. 1;47. doi:10.1501/Commua1_0000000405
