Research Article
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Year 2002, Volume: 51 Issue: 02, 0 - 0, 01.01.2002
https://doi.org/10.1501/Commua1_0000000356

Abstract

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  • Communications, Series A1:Mathematics and Statistics

An explicit characterization of dual spherical curve

Year 2002, Volume: 51 Issue: 02, 0 - 0, 01.01.2002
https://doi.org/10.1501/Commua1_0000000356

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.

References

  • Communications, Series A1:Mathematics and Statistics
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Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

R. A. Abdel Baky This is me

Publication Date January 1, 2002
Submission Date January 1, 2002
Published in Issue Year 2002 Volume: 51 Issue: 02

Cite

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

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

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