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Consider a Cartesian Coordinates system (2dimensions). If we imagine another axxis, different from the already existent ones, as in it is moving parallel to the y axxis and L to the x axxis, then another coordinates system is born, right? In total we have 3 axxi, x'x and y'y of the considered Cartesian, and another one, say k'k. But k'k and x'x form another Cartesian system.

What should be done to find the coordinates of one system using the other is a Lorentz Transform, right? This is what Special Relativity uses, right?