Two new methods of measurement in alternating-current networks are described. Each method involves the use of a cathode-ray oscillograph, together with a precision-type phaseshifting transformer, a calibrated potential divider, and amplifying equipment. One, a null method, is capable of very high accuracy. The other, although not capable of the same degree of accuracy, has certain definite advantages. It is particularly useful, for instance, in the analysis of networks containing elements with variable parameters, and in the investigation of transient phenomena in networks.The manner of operation of the measuring equipment is illustrated by a series of photographic records.