We assume that this definition of synchronism is possible without involving any inconsistency, for any number of points, therefore the following relations hold:—
1. If the clock at B be synchronous with the clock at A, then the clock at A is synchronous with the clock at B.
2. If the clock at A as well as the clock at B are both synchronous with the clock at C, then the clocks at A and B are synchronous.
Thus with the help of certain physical experiences, we have established what we understand when we speak of clocks at rest at different stations, and synchronous with one another; and thereby we have arrived at a definition of synchronism and time.
In accordance with experience we shall assume that the magnitude
2[=AB]/(t´_{A} - t_{A}) = c, where c is a universal constant.
We have defined time essentially with a clock at rest in a stationary system. On account of its adaptability to the stationary system, we call the time defined in this way as "time of the stationary system."
§ 2. On the Relativity of Length and Time.
The following reflections are based on the Principle of Relativity and on the Principle of Constancy of the velocity of light, both of which we define in the following way:—
1. The laws according to which the nature of physical systems alter are independent of the manner in which these changes are referred to two co-ordinate systems
