In the preceding paper (1) a method was described by which complement, or that portion of it which combines with antigen-antibodyprecipitates, could be measured in weight units; that is, in absolute rather than relative terms. It was estimated that the samples of pooled guinea pig sera analyzed contained from 0.04 to 0.06 mg. of complement nitrogen per ml., corresponding to 0.25 to 0.4 mg. of complement combining component, if the substance is a globulin, as seems certain (2-4). With the aid of these figures it is now possible to define quantitative relations, under the conditions used, between complement, antigen, antibody including hemolysin, and the sensitized sheep red cell.It has long been known that titration of varying amounts of hemolysin against varying quantities of complement yields dilution end-point curves roughly of parabolic form. This renders difficult the establishment of definite "units" and the determination of the minimal amounts of antigen, antibody, hemolysin, and complement effective in complement fixation tests.