In 1802, Lancret stated that a necessary and sufficient condition for a curve to be a general helix is that the ratio t/k be constant where k is the curvature and t is the torsion of the curve. My goal is to investigate the case when the ration t/k is a linear function, i.e. t/k = t
In this paper, we determine the equation of a Salkowski curve whose ratio of torsion to curvature is...
T.Ikawa obtained the following differential equation DTD TDTT - KDTT, K = ?2 - ?2 for the circular h...
The behavior of a space curve α in Minkwoski space was studied. The existence of the involute and ev...
In the present paper, we investigate a space curve in which the curvature is constant and the torsio...
ABSTRACT In the present paper, we investigate a space curve in which the curvature is constant and t...
According to the Fundamental Theorem of Curves, any regular curve with a smooth positive curvature a...
The structure of helix is a significant field in the differential geometry studies, and it is profou...
6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA) -- AUG 15-1...
Abstract. Curves in Rn for which the ratios between two consecutive curvatures are constant are char...
T. Ikawa obtained in [4] the following characteristic ordinary differ-ential equation ∇X∇X∇XX −K∇XX ...
T. Ikawa obtained the following differential equation DTDTDTT-KDTT, K = k2 - r2 for the circular hel...
Abstract In this study, we give the relation of being general helix and slant helix of two curves by...
Bernoulli’s elastic curves • If c: [0, L] → Rn is a curve parameterized by its arclength s then its...
Helical space curves are characterized by the property that their unit tangents maintain a constant ...
curve in %-space that admits a continuously differentiable first order frame can be C1 approximated ...
In this paper, we determine the equation of a Salkowski curve whose ratio of torsion to curvature is...
T.Ikawa obtained the following differential equation DTD TDTT - KDTT, K = ?2 - ?2 for the circular h...
The behavior of a space curve α in Minkwoski space was studied. The existence of the involute and ev...
In the present paper, we investigate a space curve in which the curvature is constant and the torsio...
ABSTRACT In the present paper, we investigate a space curve in which the curvature is constant and t...
According to the Fundamental Theorem of Curves, any regular curve with a smooth positive curvature a...
The structure of helix is a significant field in the differential geometry studies, and it is profou...
6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA) -- AUG 15-1...
Abstract. Curves in Rn for which the ratios between two consecutive curvatures are constant are char...
T. Ikawa obtained in [4] the following characteristic ordinary differ-ential equation ∇X∇X∇XX −K∇XX ...
T. Ikawa obtained the following differential equation DTDTDTT-KDTT, K = k2 - r2 for the circular hel...
Abstract In this study, we give the relation of being general helix and slant helix of two curves by...
Bernoulli’s elastic curves • If c: [0, L] → Rn is a curve parameterized by its arclength s then its...
Helical space curves are characterized by the property that their unit tangents maintain a constant ...
curve in %-space that admits a continuously differentiable first order frame can be C1 approximated ...
In this paper, we determine the equation of a Salkowski curve whose ratio of torsion to curvature is...
T.Ikawa obtained the following differential equation DTD TDTT - KDTT, K = ?2 - ?2 for the circular h...
The behavior of a space curve α in Minkwoski space was studied. The existence of the involute and ev...