Introduction
General remarks on the place of Quaternions in Physics
Cartesian form of some of the results to follow
Definitions
Properties of ¿
Fundamental Property of D
Theorems in Integration
Potentials
Brief recapitulation of previous work in this branch
Strain, Stress-force, Stress-couple
Stress in terms of strain
The equations of equilibrium
Variation of temperature
Small strains
Isotropic Bodies
Particular integral of the equation of equilibrium
Orthogonal coordinates
Saint-Venant's torsion problem
Wires
Electrostatics-general problem
The force in particular cases
Nature of the stress
Magnetism-magnetic potential, force, induction
Magnetic solenoids and shells
Electro-magnetism-general theory
Electro-magnetic stress
Preliminary
Notation
Euler's equations
The Lagrangian equations
Cauchy's integrals of these equations
Flow, circulation, vortex-motion
Irrotational Motion
Motion of a solid through a liquid
The velocity in terms of the convergences and spins
Viscosity
Preliminary
Statement of Sir Wm. Thomson's and Prof. Hicks's theories
General considerations concerning these theories
Description of the method here adopted
Acceleration in terms of the convergences, their time-fluxes, and the spins
Sir Wm. Thomson's theory
Prof. Hicks's theory
Consideration of all the terms except ¿¿ (¿2)/2
Consideration of the term ¿¿ (¿2)/2