" Equation 3."
Clearly both the systems of equations ([2]) and ([3]) developed for the system k shall express the same things, for both of these systems are equivalent to the Maxwell-Hertzian equations for the system K. Since both the systems of equations ([2]) and ([3]) agree up to the symbols representing the vectors, it follows that the functions occurring at corresponding places will agree up to a certain factor ψ(v), which depends only on v, and is independent of (ξ, η, ζ, τ). Hence the relations,
v v
[X′, Y′, Z′] = ψ (v) [X, β(Y - ----- N), β(Z + ------ M)],
c c
v v
[L′, M′, N′] = ψ (v) [L, β(M - ----- Z), β(N + ----- Y)],
c c