  Starting from a suggestion of Einstein on the construction of the concept of
space, we elaborate an intrinsic method to obtain space and time
transformations between two inertial spaces of reference, mathematically
modeled as affine euclidean spaces. The principal device introduced for
relating the space readings in both spaces is the so-called tracer mapping,
which makes a snapshot of a space onto the other. The general form of the space
and time transformations is obtained as an affine--preserving mapping
compatible with the principle of relativity, a cylindrical symmetry around the
relative velocities between spaces and the group character of the
transformations. After having obtained Galileo and Lorentz transformations, the
same method has been applied to two classical problems: the Coriolis theorem of
Newtonian Mechanics and the geometry of a rotating disk in Special Relativity.
Even in the case of Newtonian Mechanics, the possibility of distinguishing the
spaces of reference is found useful.

General Physics