18 citations · 80 across the 14 of their papers we have counts for
14 papers · 1 filter
New special curves and their spherical indicatrices
Ahmad T Ali
In this paper, we define a new special curve in Euclidean 3-space which we call {\it slant helix} and introduce some characterizations for this curve. This notation is generali…
Similar Curves With Variable Transformations
Mostafa F. El-Sabbagh, Ahmad T. Ali
In this paper, we define a new family of curves and call it a {\it family of similar curves with variable transformation} or briefly {\it SA-curves}. Also we introduce some charact…
Position vectors of a spacelike general helices in Minkowski Space $\e_1^3$
Ahmad T Ali
In this paper, position vector of a spacelike general helix with respect to standard frame in Minkowski space E are studied in terms of Frenet equations. First, a vector diff…
Some Characterizations of Special Curves in the Euclidean Space
Melih Turgut, Ahmad T Ali
In this work, first, we express some characterizations of helices and ccr curves in the Euclidean 4-space. Thereafter, relations among Frenet-Serret invariants of Bertrand curve of…
Constant Scalar Curvature of Three Dimensional Surfaces Obtained by the Equiform Motion of a helix
Ahmad T. Ali, Fathi M. Hamdoon, Rafael Lopez
In this paper we consider the equiform motion of a helix in Euclidean space . We study and analyze the corresponding kinematic three dimensional surface under the hyp…
Position vectors of slant helices in Euclidean space E
Ahmad T Ali
In classical differential geometry, the problem of the determination of the position vector of an arbitrary space curve according to the intrinsic equations and (…