Research Article

Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n

Volume: 41 January 1, 1992
  • Aysel Turgut
EN

Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n

Abstract

The evolute of a given curve is a well-known concept in 3-dimensional Euclidean space |R3. In this paper, we generalize this concept to n-dimensional Euclidean space |Rn . In addition, defining an involute-evolute curve couple (a, (3) in |Rn , we obtaiıı some properties connected with (a, j3) and its horizontal lift (a ^ , |3H ) in T|Rn .

Keywords

References

  1. Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Aysel Turgut This is me
Türkiye

Publication Date

January 1, 1992

Submission Date

January 1, 1992

Acceptance Date

-

Published in Issue

Year 1992 Volume: 41

APA
Turgut, A. (1992). Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 41. https://doi.org/10.1501/Commua1_0000000507
AMA
1.Turgut A. Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000507
Chicago
Turgut, Aysel. 1992. “Involute - Evolute Curve Couples of Higher Order in IR N and Their Horizontal Lifts in TIR N”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January). https://doi.org/10.1501/Commua1_0000000507.
EndNote
Turgut A (January 1, 1992) Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41
IEEE
[1]A. Turgut, “Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 41, Jan. 1992, doi: 10.1501/Commua1_0000000507.
ISNAD
Turgut, Aysel. “Involute - Evolute Curve Couples of Higher Order in IR N and Their Horizontal Lifts in TIR N”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 41 (January 1, 1992). https://doi.org/10.1501/Commua1_0000000507.
JAMA
1.Turgut A. Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992;41. doi:10.1501/Commua1_0000000507.
MLA
Turgut, Aysel. “Involute - Evolute Curve Couples of Higher Order in IR N and Their Horizontal Lifts in TIR N”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 41, Jan. 1992, doi:10.1501/Commua1_0000000507.
Vancouver
1.Aysel Turgut. Involute - Evolute curve couples of higher order in IR n and their horizontal lifts in TIR n. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1992 Jan. 1;41. doi:10.1501/Commua1_0000000507

Cited By

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

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