Special Relativity and train experiment

If we want to calculate the time dilation and the lorentz transformation equations then we take axiomatic that c=constant and perform the experiment in which the observer emits light to a mirror.So from the isosceles triangle we can calculate the equations.BUT what if we emit the light not perpendicular but on the same direction in which the train travels , then HOW DO WE CALCULATE THE EQUATIONS? Any thought?

submitted by /u/tasoskatsipis
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