Equation of Plane Shear/Mistake

Source Work

1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.)

2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.):

shear 2.

Mistake

The shear of the plane with invariant line $x = 0$ and angle $\theta$ maps the point with Cartesian coordinates $\tuple {x, y}$ to $\tuple {x + y \tan \theta, y}$.

Correction

The invariant line for such a shear is actually the $x$-axis, that is, the line $y = 0$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): shear: 2.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): shear: 2.