A transformation in which all points along a given line remain fixed while other points are shifted parallel to by a distance proportional to their perpendicular distance from . Shearing a plane figure does not change its area. The shear can also be generalized to three dimensions, in which planes are translated instead of lines.

# Shear

## See also

Affine Transformation, Cavalieri's Principle, Shear Factor, Shear Matrix## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Shear." From *MathWorld*--A
Wolfram Web Resource. https://mathworld.wolfram.com/Shear.html