The proof of Cauchy's theorem.
Graphical methods in statics and their geometrical applications.
Theorems on the changes in motion of a system of bodies produced by impulses.
The "instantaneous ellipse" for a particle moving under a gravitational force to a fixed centre and a perturbing force.
The motion of a top.
The "uniqueness theorems" of electrostatics and their applications in the methods of images and of inversion.
The properties of the velocity-potential \(\phi\) and the stream-function \(\psi\) in the hydrodynamics of an incompressible fluid in two and three dimensions.
The porous-plug experiment and the determination of absolute temperature.