There is a unique curve called striction curve that is not present on a surface except a ruled
surface. This curve is defined as the shortest distance with the help of a common …

In this study we have examined, involute of the cubic Bezier curve based on the control
points with matrix form in E3. Frenet vector fields and also curvatures of involute of the cubic …

Ruled surfaces play an important role in various types of design, architecture,
manufacturing, art, and sculpture. They can be created in a variety of ways, which is a topic …

Purpose: To carry out the transition from a cylindrical gear in which the centroids are
congruent ellipses with centres of rotation in the foci, to a bevel gear on the basic of …

Some situations that change the parameters of the kinematic structure may cause the robot
end effector to deviate [Merlet [2005] Parallel Robots, Vol. 128 (Springer Science & Business …

Let B^ be a Bézier curve in D3, that is, the control points of B^ are the vectors in D3={u=(u1,
u2, u3): ui∈ D, i= 1, 2, 3} which is the set of dual vectors whose each coordinate …

In this study we have examined, Mannheim partner of a cubic Bezier curve based on the
control points with matrix form in E3. Frenet vector fields and also curvatures of Mannheim …

In this study, we have examined Bertrand mate of a cubic Bezier curve based on the control
points with matrix form in E^3. Frenet vector fields and also curvatures of Bertrand mate of …

In this paper, we investigate the problem of the construction of a ruled surface family passing
through the striction curve (c) of a ruled surface φ. We first define ruled surface family with …

Using the matrix representation form, the first, second, third, fourth, and fifth derivatives of 5th
order Bezier curves are examined based on the control points in E3E3. In addition to this …