J20
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Shears<br />
A shear is a transformation that keeps one line invariant and moves all the<br />
other points parallel to this invariant line. The distance moved by each point is<br />
proportional to its distance from the invariant line. The constant of this<br />
proportionality is called the shear factor. The area of the object remains<br />
constant.<br />
The shear factor is given by the ratio:<br />
perpendicular<br />
distance moved by a point<br />
distance of the point from the<br />
invariant line<br />
Example<br />
In the figure below, rectangle OABC is mapped onto parallelogram OAB 1C 1<br />
under a shear.