If you connect two of the windings to the single phase supply and use a capacitor between the single phase supply and third winding you can create a fake 3 phase system. It works but with reduced performance.You can't run a three phase motor on a single phase, and it's referred to as "single phasing" and it can burn your motor up or lock the rotor.
Refer here:
http://www.wisconsinpublicservice.com/business/phase.aspx