EN
On the evolute offsets of ruled surfaces using the Darboux frame
Abstract
In this study, using Darboux frame {T,g,n} of ruled surface ϕ(s,v), the evolute offsets ϕ^{∗}(s,v) with Darboux frame {T^{∗},g^{∗},n^{∗}} of ϕ(s,v) are defined. Characteristic properties of ϕ^{∗}(s,v) as a striction curve, distribution parameter and orthogonal trajectory are investigated using the Darboux frame. The distribution parameters of ruled surfaces ϕ_{T^{∗}}^{∗},ϕ_{g^{∗}}^{∗} and ϕ_{n^{∗}}^{∗} are given. By using Darboux frame of the surfaces we have given the relations between the instantaneous Pfaffian vectors of motions H/H′ and H^{∗}/H^{∗′}, where H={T,g,n} be the moving space along the base curve of ϕ(s,v), H^{∗}={T^{∗},g^{∗},n^{∗}} be the moving space along the base curve of ϕ^{∗}(s,v), H′ and H^{∗′} be fixed Euclidean spaces.
Keywords
References
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Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
August 1, 2019
Submission Date
October 19, 2017
Acceptance Date
January 8, 2019
Published in Issue
Year 1970 Volume: 68 Number: 2
APA
Şentürk, G. Y., & Yüce, S. (2019). On the evolute offsets of ruled surfaces using the Darboux frame. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1256-1264. https://doi.org/10.31801/cfsuasmas.516604
AMA
1.Şentürk GY, Yüce S. On the evolute offsets of ruled surfaces using the Darboux frame. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1256-1264. doi:10.31801/cfsuasmas.516604
Chicago
Şentürk, Gülsüm Yeliz, and Salim Yüce. 2019. “On the Evolute Offsets of Ruled Surfaces Using the Darboux Frame”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1256-64. https://doi.org/10.31801/cfsuasmas.516604.
EndNote
Şentürk GY, Yüce S (August 1, 2019) On the evolute offsets of ruled surfaces using the Darboux frame. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1256–1264.
IEEE
[1]G. Y. Şentürk and S. Yüce, “On the evolute offsets of ruled surfaces using the Darboux frame”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1256–1264, Aug. 2019, doi: 10.31801/cfsuasmas.516604.
ISNAD
Şentürk, Gülsüm Yeliz - Yüce, Salim. “On the Evolute Offsets of Ruled Surfaces Using the Darboux Frame”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1256-1264. https://doi.org/10.31801/cfsuasmas.516604.
JAMA
1.Şentürk GY, Yüce S. On the evolute offsets of ruled surfaces using the Darboux frame. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1256–1264.
MLA
Şentürk, Gülsüm Yeliz, and Salim Yüce. “On the Evolute Offsets of Ruled Surfaces Using the Darboux Frame”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1256-64, doi:10.31801/cfsuasmas.516604.
Vancouver
1.Gülsüm Yeliz Şentürk, Salim Yüce. On the evolute offsets of ruled surfaces using the Darboux frame. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1256-64. doi:10.31801/cfsuasmas.516604
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