33 citations · 40 across the 6 of their papers we have counts for
6 papers
On characteristic curves of developable surfaces in Euclidean 3-space
Fatih Dogan
We investigate the relationship among characteristic curves on developable surfaces. In case parameter curves coincide with these curves, we show that the base curve of a developab…
The detailed proof of theorem which characterizes a slant helix
Fatih Dogan
In this paper, firstly the axis of a slant helix is found with a method. Secondly, the theorem which characterizes a unit speed curve to be a slant helix is proved in detail. The i…
The relation between parameter curves and lines of curvature on canal surfaces
Fatih Dogan, Yusuf Yayli
A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) (spine curve) of its center and a radius function r(t). In this paper, we inv…
On isophote curve and its characterizations
Fatih Dogan, Yusuf Yayli
Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. Main objective of this paper is to find the axis of an isophote cur…
Isophote curves on timelike surfaces in Minkowski 3-space
Fatih Dogan
Isophote comprises a locus of the surface points whose normal vectors make a constant angle with a fixed vector. In this paper, isophote curves are studied on timelike surfaces in…
Isophote curves on spacelike surfaces in Lorentz-Minkowski space E31
Fatih Dogan, Yusuf Yayli
Isophote curve consists of a locus of surface points whose normal vectors make a constant angle with a fixed vector (the axis). In this paper, we define an isophote curve on a spac…