The equations of the Moving Body are

 

 

These give us the adjusted coordinates of the Moving Body, (its true or "proper" position, i.e., its position as measured by the Moving Body itself). However, as we saw, the unadjusted coordinates of the Moving Body (its position as measured by the Stationary Body) are:

 

 

These two positions have the same x coordinate, and they only differ in their time coordinate, so the position that the Stationary Body sees (x, t) can be considered a projection of the true or "proper" position of the Moving Body (x', t') on the x axis of the Stationary Body.

 

In the graph as shown on the applet (c = 1, υ = 0.6, and T = 10), the adjusted Moving Body coordinates are x' = 6 and t' = 8. For the unadjusted Lorentz system, the position of point x' = 6, t' = 8 is x = 6, t = 10, which is the projection of point x' = 6, t' = 8 on the x axis of the Stationary Body (same x coordinate, different t coordinates).