In his book Simply Einstein Richard Wolfson describes time dilation this way: "The time between two events is shortest when measured in a reference frame where the two events occur at the same place."
I think I have a counterexample to this but I am not sure. Suppose Battlestar Galactica is flying over the earth. In the front of BG a flash of light is emitted. Then, a short time later, at the back of BG a flash of light is emitted. As it happens, BG has moved exactly one length in the interval, so, from our standpoint on Earth, those flashes of light have occurred in the same place. Doesn't special relativity say that, if the time interval between the two events measured on BG is one second, the time interval between those events measured on Earth will be longer than one second?
My original example involved two clocks that are (at least from the standpoint of BG) synchronized with one another, one in the front, one in the back. I have no idea if it makes any difference.
Anyway, is Wolfson's formulation correct? Is my example a counterexample to his statement?