An invertor is a way of running a three phase motor from a single phase supply but a cheaper method is that a three phase motor with two accessible terminals per winding can be wired to work as a single phase motor by using two of the windings as running windings and the third winding as a starting winding with a capacitor and switch(usually a centrifugal type but could also be driven from a Tachometer)which disconnects the start winding once started and the motor runs on the other two windings.
In olden days before health and safety rightly put stop to such a practice, simple wound motors could be started by hand by twisting the shaft and then very quickly standing back
some smaller motors including those on small drilling machines could even run on a permanently connected capacitor start winding ie no switch.