True 2 phase power used 4 conductors, some of the motors used 3 conductors like a 3 phase motor but they can be
ID by the fact that one of the 3 wires will be larger then the other 2 because it carries about 1.5 times the current that the other two wires carry. the reason for the difference is that it carries the vector sum of the 2 90 degree angle motor windings. True 2 phase power was used for a very short time in the early 1900s. I have never seen a true 2 phase motor.
Some of the the early three phase power supplies were connected to 2 of the three phases and the motor generated the third phase internally, but the phase angle between the two connected transformers was 120 degrees. the power delivered to the building was 240 delta with a main phase for 120 volt power available. Two of the legs to ground or neutral was 120 but the third leg was about 180 depending on load balance. This is also referred to as wild or bastard leg three phase. when looking at the transformers on the pole one was considerably larger then the other. Those "2 phase " motors used on this power system were really 3 phase motors .
The idea that the common 120/240 volt systems are 2 phase is a misnomer because the system is simply a single phase 240 Volt transformer with a grounded center tap of the transformer as neutral for 110 Volt.
208 Volt three phase is a Y configuration with a grounded center tap of the wye as neutral. Any leg to neutral or ground as 110.
I hope this helps a little
Art B