Changes

Length contraction may be derived using the [[Lorentz transformation]]s as with time dilation. This time we use the equation for <math>x</math>. In this case, the time in the undashed frame must be the '''same'''. Following the same procedure as above we find that:

Length contraction may be derived using the [[Lorentz transformation]]s as with time dilation. This time we use the equation for <math>x</math>. In this case, the time in the undashed frame must be the '''same'''. Following the same procedure as above we find that:

<math>x'_2 -x'_1 = \frac{x_2 - x_1}{\gamma}

<math>x'_2 -x'_1 = \frac{x_2 - x_1}{\gamma}</math>

This is the same as above with <math>x_2 - x_1</math> and <math>x'_2 - x'_1</math> being the lengths in the undashed and dashed frames respectively. Again, geometrical arguments may be used to achieve the same result.

This is the same as above with <math>x_2 - x_1</math> and <math>x'_2 - x'_1</math> being the lengths in the undashed and dashed frames respectively. Again, geometrical arguments may be used to achieve the same result.