At the present time there are several remote-indicating systems in common usage in industry. These types include the conventional a-c Selsyn, a-c Magnesyn system, and the d-c Selsyn. The d-c Selsyn embodies two features which present a distinct advantage in aircraft systems. 1. The system does not require an a-c source of power. 2. The system requires only three wires between transmitter and receiver, whereas all other types of systems require at least five wires leading from the transmitter to the receiver. To offset somewhat these advantages, all d-c Selsyn systems now in operation have a very slight natural error which, although not important in some applications, becomes very undesirable in applications where a high degree of accuracy is required. In this paper the author presents a rigorous analysis of a conventional d-c Selsyn remote-indicating system. The first part of the analysis shows that a natural error exists in the system, which has a 60-degree cycle and which reaches a maximum value of 1.1 degress. The error is zero at each 30-degree point and reaches a maximum almost midway between the 30-degree points. The natural error of the Selsyn system arises from the fact that the transmitter resistance is a linear function of the transmitter angle ?? This natural error may be overcome by designing a transmitter resistance in a non-linear manner. The equation is developed for the necessary variation of the transmitter resistance with the transmitter angle.