LOXODROMES ON TWISTED SURFACES IN EUCLIDEAN 3-SPACE

Author:

ALTIN Mustafa1

Affiliation:

1. BİNGÖL ÜNİVERSİTESİ, BİNGÖL TEKNİK BİLİMLER MESLEK YÜKSEKOKULU

Abstract

In the present paper, loxodromes, which cut all meridians and parallels of twisted surfaces (that can be considered as a generalization of rotational surfaces) at a constant angle, have been studied in Euclidean 3-space and some examples have been constructed to visualize and support our theory

Publisher

Firat Universitesi

Reference13 articles.

1. J. Alexander; Loxodromes: a rhumb way to go, Math. Mag., 77(5), (2004), 349–356.

2. M. Babaarslan and Y. Yaylı; Differential Equation of the Loxodrome on a Helicoidal Surface, The Journal of Navigation, 68, (2015), 962–970.

3. M. Babaarslan, Loxodromes on Canal Surfaces in Euclidean 3-Space, Ann. Sofia Univ. Fac. Math and Inf., 103, (2016), 97–103.

4. M. Babaarslan and Y. Yaylı; Space-like loxodromes on rotational surfaces in Minkowski 3-space, J. Math. Anal. Appl., 409, (2014), 288–298.

5. M. Babaarslan and M.I. Munteanu; Timelike loxodromes on rotational surfaces in Minkowski 3–space, Annals of the Alexandru Ioan Cuza University-Mathematics, (2015), DOI: 10.2478/aicu-2013-0021.

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