Research Article

An explicit characterization of dual spherical curve

Volume: 51 Number: 02 January 1, 2002
  • R. A. Abdel Baky
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Cover
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
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An explicit characterization of dual spherical curve

Abstract

In this paper, a differential equation characterizing the dual spherical curves and an explicit solution of this differential equation is given. Without the precondition on the dual torsion, which is the torsion is nowhere zero, a necessary and sufficient condition for a dual curve to be spherical curve is given. Finally, the dual spherical version of the planar evolute in plane kinematics is presented.

Keywords

References

  1. Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

R. A. Abdel Baky This is me
Türkiye

Publication Date

January 1, 2002

Submission Date

January 1, 2002

Acceptance Date

-

Published in Issue

Year 2002 Volume: 51 Number: 02

DOI

https://doi.org/10.1501/Commua1_0000000356

IZ

https://izlik.org/JA43RY87ST

Cite

RIS / Bibtex
APA
Baky, R. A. A. (2002). An explicit characterization of dual spherical curve. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 51(02). https://doi.org/10.1501/Commua1_0000000356
AMA
1.Baky RAA. An explicit characterization of dual spherical curve. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2002;51(02). doi:10.1501/Commua1_0000000356
Chicago
Baky, R. A. Abdel. 2002. “An Explicit Characterization of Dual Spherical Curve”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 51 (02). https://doi.org/10.1501/Commua1_0000000356.
EndNote
Baky RAA (January 1, 2002) An explicit characterization of dual spherical curve. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 51 02
IEEE
[1]R. A. A. Baky, “An explicit characterization of dual spherical curve”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 51, no. 02, Jan. 2002, doi: 10.1501/Commua1_0000000356.
ISNAD
Baky, R. A. Abdel. “An Explicit Characterization of Dual Spherical Curve”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 51/02 (January 1, 2002). https://doi.org/10.1501/Commua1_0000000356.
JAMA
1.Baky RAA. An explicit characterization of dual spherical curve. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2002;51. doi:10.1501/Commua1_0000000356.
MLA
Baky, R. A. Abdel. “An Explicit Characterization of Dual Spherical Curve”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 51, no. 02, Jan. 2002, doi:10.1501/Commua1_0000000356.
Vancouver
1.R. A. Abdel Baky. An explicit characterization of dual spherical curve. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2002 Jan. 1;51(02). doi:10.1501/Commua1_0000000356

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