A method of reducing or eliminating machine induced errors which affect the orthogonality of the axes of a first and a second carriage of a machine tool the carriages being moveable substantially orthogonally with respect to one another, each carriage carrying a respective one of a workpiece and tool for machining the workpiece, comprising the steps of attaching a two-axis scale means to one carriage so as to move therewith, attaching a reading head which cooperates with the scale means to the other carriage to move therewith, the reading head being disposed in substantially the same plane as the two-axis scale means, deriving positional data from the reading head and scale means for the first carriage, exerting a force on at least one of the two carriages to effect a movement thereof relative to the machine, and deriving a value for the linear displacement of the first carriage relative to the second by determining the difference between the positional data at the beginning, and at the end, of the carriage movement.