CHAPTER XIX ALTERNATING-CURRENT MOTORS IN GENERAL 171. The starting point of the theory of the polyphase and single-phase induction motor usually is the general alternating- current transformer. Coming, however, to the commutator motors, this method becomes less suitable, and the following more general method preferable. In its general form the alternating-current motor consists of one or more stationary electric circuits magnetically related to one or more rotating electric circuits. These circuits can be excited by alternating currents, or some by alternating, others by direct current, or closed upon themselves, etc., and connec- tion can be made to the rotating member either by collector rings—that is, to fixed points of the windings—or by commutator —that is, to fixed points in space. The alternating-current motors can be subdivided into two classes—those in which the electric and magnetic relations between stationary and moving members do not vary with their relative positions, and those in which they vary with the relative positions of stator and rotor. In the latter a cycle of rotation exists, and therefrom the tendency of the motor results to lock at a speed giving a definite ratio between the frequency of rotation and the frequency of impressed e.m.f. Such motors, therefore, are synchronous motors. The main types of synchronous motors are as follows: 1. One member supplied with alternating and the other with direct current—polyphase or single-phase synchronous motors. 2. One member excited by alternating current, the other con- taining a single circuit closed upon itself—synchronous induction motors. 3. One member excited by alternating current, the other of different magnetic reluctance in different directions (as polar construction)—reaction motors. 4. One member excited by alternating current, the other by alternating current of different frequency or different direction of rotation—general alternating-current transformer or fre- quency converter and synchronous-induction generator.