Maybe this will help.
The power going to most residential service (In the US), is 1 leg of the three phase high voltage. That 1 leg, is then lowered by transformers into 2 120 volt, legs, and a neutral. If you look close at the transformer, it has 1 hot going in, and 2 half voltage hots coming out, and a ground in and out.
Here is a good page that explains it.
http://waterheatertimer.org/See-inside-main-breaker-box.html
There is such a monster as 2 phase, in some parts of Philadelphia, and a few other rural areas in the US. So you can run across 2 phase motors once in awhile.