669.017: 5.715′295′235The data of metallography, x-ray diffraction, electron microprobe, and differential thermal analyses are used to project the solidus surface of the partial TiRh-Rh-AlRh system onto the concentration triangle for the first time. No ternary compounds are found in this system. It is established that there are four single-phase surfaces corresponding to the rhodium solid solution, phases based on Ti 3 Rh 5 and TiRh 3 compounds, and the δ phase (continuous series of solid solutions between isostructural CsCl-type AlRhbased phases and high-temperature modification of the TiRh-based phase). The solidus surface also contains five ruled surfaces bounding two-phase volumes and two isothermal planes that are constituents of invariant four-phase equilibria reached at 1714 and 1675°C, respectively.