In plane geometry, a shear mapping is an affine transformation that displaces each point in a fixed direction by an amount proportional to its signed...

translation, scaling, homothety, similarity, reflection, rotation, shear mapping, and compositions of them in any combination and sequence. Viewing an...

rectangle of equal area with sides p and q with the help of three shear mappings (shear mappings preserve the area): *Hartmut Wellstein, Peter Kirsche: Elementargeometrie...

Look up shear in Wiktionary, the free dictionary. Shear may refer to: Animal shearing, the collection of wool from various species Sheep shearing The removal...

rotation}}\end{matrix}}} The mathematical model representing simple shear is a shear mapping restricted to the physical limits. It is an elementary linear transformation...

the Cartesian plane, but is not a rotation or shear mapping. For a fixed positive real number a, the mapping ( x , y ) ↦ ( a x , y / a ) {\displaystyle (x...

to that point. The linear transformation in this example is called a shear mapping. Points in the top half are moved to the right, and points in the bottom...

the converse is not true. In fact, shear mapping and squeeze mapping are counterexamples to the converse. Shear mapping takes a rectangle to a parallelogram...

{\ell }{k}}b,\ b)} shear mapping ∼ ( k a + ℓ b ,   1 k b ) {\displaystyle \thicksim (ka+\ell b,\ {\tfrac {1}{k}}b)} squeeze mapping ∼ ( k a + ℓ b ,   1...

the idea of angle follows from the difference of slopes. Consider the shear mapping ( u , v ) = ( x , y ) ( 1 v 0 1 ) . {\displaystyle (u,v)=(x...