Ara
Toplam kayıt 44, listelenen: 11-20
New Results for General Helix in Euclidean 3-space
(Amer Inst Physics, 2018)
Finding parametric equation of a space curve is not easy task when its curvature functions are given. It is well known that this problem is known as fundamental theorem of a space curve. If the curvature functions are ...
A Note On Lamarle Formula Inminkowski 3-Space
(Tamkang Univ, 2018)
The Lamarle formula is known as a simple relation between the Gaussian curvature and the distribution parameter of a non-developable ruled surface. In this paper, we obtain the Lamarle formula of a non-developable ruled ...
k-Type Bi-null Cartan Slant Helices in R-3(6)
(Southeast Asian Mathematical Soc-Seams, 2018)
In the present paper, we give the notion of k-type bi-null Cartan slant helices in R-3(6), where k ( )is an element of {1, 2, 3, 4, 5, 6}. We give the necessary and sufficient conditions for bi-null Cartan curves to be ...
Note On Bertrand B-Pairs Of Curves In Minkowski 3-Space
(Honam Mathematical Soc, 2018)
In this paper, we define null Cartan and pseudo null Bertrand curves in Minkowski space ET according to their Bishop frames. We obtain the necessary and sufficient conditions for pseudo null curves to be Bertand B-curves ...
On Bishop frame of a null Cartan curve in Minkowski space-time
(World Scientific Publ Co Pte Ltd, 2018)
In this paper, we define the Bishop frame of a null Cartan curve in Minkowski space-time E-1(4). We obtain the Bishop's frame equations of a null Cartan curve which lies in the timelike hyperplane of E-1(4). We show that ...
An application of Ritt-Wu's zero decomposition algorithm to null Bertrand type curves in Minkowski 3-space
(Hacettepe Univ, Fac Sci, 2010)
Bertrand curves were first studied using a computer by W. -T. Wu in (A mechanization method of geometry and its applications II. Curve pairs of Bertrand type, Kexue Tongbao 32, 585-588, 1987). The same problem was studied ...
On Mannheim partner curves in dual Lorentzian space
(Hacettepe Univ, Fac Sci, 2011)
In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D(1)(3), and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual ...
General helices with spacelike slope axis in Minkowski 3-space
(World Scientific Publ Co Pte Ltd, 2019)
In the present paper, we consider general helix with spacelike slope axis for all possible types of curves in Minkowski 3-space. We give the conditions under which the curves in Minkowski 3-space have spacelike slope axis. ...
Bi-null curves with constant curvatures in R-2(5)
(Springer Basel Ag, 2019)
In the present paper, we classify bi-null curves with constant curvatures in semi-Euclidean 5-space R-2(5) with index 2.
A new approach to design the ruled surface
(World Scientific Publ Co Pte Ltd, 2019)
This paper considers a kind of design of a ruled surface. The design interconnects some concepts from the fields of computer-aided geometric design (CAGD) and kinematics. Dual unit spherical Bezier-like curves on the dual ...