,
,
,
, which is the basis of our discussion, can be regarded as giving the relations between two systems of reference which are moving with an accelerated motion relatively to one another. The nature of the state of motion of two systems of reference relative to one another finds its expression in the analytical form of the equations of transformation of their co-ordinates.
[Note 26] (p. 51). Two things are to be undertaken in the following: (1) the fundamental equations of the new theory are to be written in an explicit form, and (2) the transition to Newton's fundamental equations is to be performed.
1. From the equation of variation