Note 1 — PART I The Special Theory of Relativity

Obviously our problem can be exactly formulated in the following manner. What are the values , of an event with respect to K′, when the magnitudes , of the same event with respect to K are given? The relations must be so chosen that the law of the transmission of light in vacuo is satisfied for one and the same ray of light (and of course for every ray) with respect to K and K′. For the relative orientation in space of the co-ordinate systems indicated in the diagram (Fig 2), this problem is solved by means of the equations: This system of equations is known as the “Lorentz transformation.”1