... coordinate of any point in space, we have R = −ρ R ρ Now let Q(R) be any function of R, the coordinates of Q being functions of ρ only Consider the integral Q(R) ds the variable of integration being ... application of equation (9) may be put in the following form:—Q being any linear function (varying from point to point) of R1 and , R being a function of the position of a point Q(R1 , ) ds =− Q1 (R, ) ... UTILITY QUATERNIONS IN PHYSICS UTILITY QUATERNIONS IN PHYSICS A McAULAY, M.A., LECTURER IN MATHEMATICS AND PHYSICS IN THE UNIVERSITY OF TASMANIA London: MACMILLAN...