circular helix

circular helix

[′sər·kyə·lər ′hē‚liks]
(mathematics)
A curve that lies on a right circular cylinder and intersects all the elements of the cylinder at the same angle.
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References in periodicals archive ?
Now we show that [alpha](t) is a circular helix in [E.sup.2n+1.sub.v].
So, we can say that [alpha] (t) is a circular helix.
It is easy to show that the curve [alpha](t) is the circular helix.
If both [kappa] and [tau] are non-zero constants, it is called a circular helix.
Hence a circular helix is a Bertrand curve (see ).
The circular helix characteristic to the reference worm is the helix corresponding to the reference cylinder and is named the mean circular reference helix of the worm; it has the pitch [p.sub.E] and the inclination [[theta].sub.0] having the size:
The right line d is inclined posed towards the basic cylinder with the angle [[theta].sub.b] that is the inclination angle of the circular helix described by the right line d on the base cylinder.
So, a W-curve of rank 1 is a straight line, a W-curve of rank 2 is a circle, and a W-curve of rank 3 is a right circular helix.
If k and r are positive constants along C, then C is called a circular helix with respect to the Frenet frame.
C is a circular helix with respect to the Frenet frame {[partial derivative]/[partial derivative]v, n, b}, if and only if
In that sense, at the generation of the helical cylindrical surfaces where the theoretic directrix curve D is a circular helix, it is used the composition of a rotation movement with the rectilinear translation movement of the generating element in order to generate a helical circular trajectory in conditions of cinematic correlation (Sandu & Strajescu, 2004), (Botez, 1967).
that represent the known parametric equations of the circular helix and in which

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