A method for making a rotary electric machine comprises the steps of: preparing a core (18) having a plurality of pole expansions and a plurality of windings (100, 200, 300) made of electrically conductive material on the pole expansions, where at least a part of the windings (100, 200, 300) is made from a conductor wire having a free end (14) that can be connected electrically to a mains power supply; stably coupling to each other at least two free ends (14) of different windings (100, 200, 300) so as to connect them to a single power supply terminal; twisting the coupled ends (14) together to form a single electrical termination (5, 6, 7) twisted along a principal line of extension of the electrical termination (5, 6, 7).