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In order to have a complete description of the motion, we must specify how the body alters its position with time; i.e. for every point on the trajectory it must be stated at what time the body is situated there. These data must be supplemented by such a definition of time that, in virtue of this definition, these time-values can be regarded essentially as magnitudes (results of measurements) capable of observation. If we take our stand on the ground of classical mechanics, [ 11 ] we can satisfy this requirement for our illustration in the following manner.
In your schooldays most of you who read this book made acquaintance with the noble building of Euclid's geometry, and you remember - perhaps with more respect than love — the magnificent structure, ...
On the basis of the physical interpretation of distance which has been indicated, we are also in a position to establish the distance between two points on a rigid body by means of measurements.
As is well known, the fundamental law of the mechanics of Galilei-Newton, which is known as the law of inertia, can be stated thus: a body removed sufficiently far from other bodies continues in a state of rest ...
In order to attain the greatest possible clearness, let us return to our example of the railway carriage supposed to be travelling uniformly. We call its motion a uniform translation ...
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