A continuous centrifuge of the type comprising a perforated basket of generally frusto-conical configuration which is adapted to rotate about a rotational axis and along whose inner peripheral wall a liquids/solids mix is caused to travel, with solids being discharged over the mouth of the rotating basket at its wider end and liquids being collected via the basket perforations. The basket has at least three separating stages of different inclination relative to the basket rotational axis, with the respective residence time over each separating stage being controlled by the basket angle locally to set the angle to suit the local values controlling the flow at that stage.