Research Article

Dual Curves of Constant Breadth in Dual Euclidean Space D^3

Volume: 4 Number: 3 September 30, 2016
  • Huseyin Kocayigit *
  • Nihal Erten
EN

Dual Curves of Constant Breadth in Dual Euclidean Space D^3

Abstract


In this paper, we study dual curves of constant breadth in dual Euclidean Space . We obtain the differential equations characterizing dual curves of constant breadth in  and we introduce some special cases for these dual curves.


Keywords

References

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  3. Barbier, E., Note sur le probleme de l’aiguille et le jeu du joint couvert. J. Math. Pures Appl., II. Ser. 5, 273-286 (1860).
  4. Blaschke, W., Konvexe bereiche gegebener konstanter breite und kleinsten inhalts, Mathematische Annalen, B. 76(4), 504-513 (1915).
  5. Blaschke, W., Einige Bemerkungen über Kurven und Flächen konstanter Breite. Ber. Verh. Sächs. Akad. Leipzig, 67, 290-297 (1915).
  6. Blaschke, W., Differential Geometric and Geometrischke Grundlagen ven Einsteins Relativitasttheorie Dover, New York, (1945).
  7. Hacısalihoğlu, H.H., Hareket Geometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edb. Fakültesi, (1983)
  8. Euler, L., De Curvis Triangularibus, Acta Acad. Petropol., 3-30 (1778-1780).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Huseyin Kocayigit * This is me
Türkiye

Nihal Erten This is me
Türkiye

Publication Date

September 30, 2016

Submission Date

January 12, 2016

Acceptance Date

January 25, 2016

Published in Issue

Year 2016 Volume: 4 Number: 3

APA
Kocayigit, H., & Erten, N. (2016). Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences, 4(3), 99-104. https://izlik.org/JA89UC86WD
AMA
1.Kocayigit H, Erten N. Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences. 2016;4(3):99-104. https://izlik.org/JA89UC86WD
Chicago
Kocayigit, Huseyin, and Nihal Erten. 2016. “Dual Curves of Constant Breadth in Dual Euclidean Space D^3”. New Trends in Mathematical Sciences 4 (3): 99-104. https://izlik.org/JA89UC86WD.
EndNote
Kocayigit H, Erten N (September 1, 2016) Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences 4 3 99–104.
IEEE
[1]H. Kocayigit and N. Erten, “Dual Curves of Constant Breadth in Dual Euclidean Space D^3”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 99–104, Sept. 2016, [Online]. Available: https://izlik.org/JA89UC86WD
ISNAD
Kocayigit, Huseyin - Erten, Nihal. “Dual Curves of Constant Breadth in Dual Euclidean Space D^3”. New Trends in Mathematical Sciences 4/3 (September 1, 2016): 99-104. https://izlik.org/JA89UC86WD.
JAMA
1.Kocayigit H, Erten N. Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences. 2016;4:99–104.
MLA
Kocayigit, Huseyin, and Nihal Erten. “Dual Curves of Constant Breadth in Dual Euclidean Space D^3”. New Trends in Mathematical Sciences, vol. 4, no. 3, Sept. 2016, pp. 99-104, https://izlik.org/JA89UC86WD.
Vancouver
1.Huseyin Kocayigit, Nihal Erten. Dual Curves of Constant Breadth in Dual Euclidean Space D^3. New Trends in Mathematical Sciences [Internet]. 2016 Sep. 1;4(3):99-104. Available from: https://izlik.org/JA89UC86WD