# generatrix

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Related to generatrix: directrix

## generatrix

[¦jen·ə¦rā·triks]
(mathematics)
The straight line generating a ruled surface. Also known as generator.
References in periodicals archive ?
The function of the disc generatrix is assumed to be y = f(x).
The most convenient way to define a surface of revolution is to prescribe the (planar) generating curve, or generatrix, given by g(v) = [(r(v), 0, z(v)).
Generally, the lower section temperature during the chamber operation is less than the temperature of the upper generatrix section.
To obtain an accurate description of the predominantly roughness of samples, a set of profile measurements were carried out of different sections on sample height, rotating a defined angle value for each generatrix studied.
The constructive parameters of the workpiece and tool and also the generation ones determine the form of the directrix and generatrix of the polygonal processed surface.
An example of the applicability of this case of composition of simple movements is the realization of the generatrix G at the generation of the cylindrical wheel gears' flanks with cycloid profile.
2] can be in practice rings or disks and the generatrix G can be rigid bars.
Considering the large industrial application, the authors have proposed the cylinder intersections study: The oblique cylinder can be modeled in four steps, by the extrusion of a circle along a line parallel to the generatrix, followed by its upper part sectioning.
For the generating of a surface on machine tools, the generatrix G or the director curve D are flat analytical curves (involute, ellipse, Archimedean spiral, polygonal curves, closed contour, resulting from combinations of simple flat curves, etc.
According to the cinematic principle of the generation of the real surfaces on machine tools, for the generation of complex surface in a general case, the generating element must effectuate a movement along the theoretic generatrix G and a movement along the theoretical directrix D (Sandu & Strajescu, 2006), (Strajescu & Sandu, 2006).

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