  Monge-Amp\`ere equations of the form, $u_{xx}u_{yy}-u_{xy}^2=F(u,u_x,u_y)$
arise in many areas of fluid and solid mechanics. Here it is shown that in the
special case $F=u_y^4f(u, u_x/u_y)$, where $f$ denotes an arbitrary function,
the Monge-Amp\`ere equation can be linearized by using a sequence of Amp\`ere,
point, Legendre and rotation transformations. This linearization is a
generalization of three examples from finite elasticity, involving plane strain
and plane stress deformations of the incompressible perfectly elastic Varga
material and also relates to a previous linearization of this equation due to
Khabirov [7].
