A rotary combustion engine includes a peripheral housing, side housing plates, a piston, and an eccentric shaft, where the triangular piston mounted on the eccentric shaft rotates between the side plates around an epitrochoidal orbit with a long and short axis inside the housing to form three working spaces, where the gas exchange is controlled by an intake port and an exhaust port. Fuel is supplied by an injection nozzle located on the short axis of the peripheral housing, and combustion is initiated by a spark plug located shortly after the injection nozzle in the housing relative to the direction of rotation of the piston. Nozzle bores in the injection nozzle are designed in such a way that, in conjunction with a multi-fuel injection system, they guarantee reliable ignition of the fuel during each cycle.