When machining surfaces of workpieces, which are not directly accessible for the working tool, for instance due to projecting flanges or inclined wall surfaces, a back-working tool is used, comprising a rotatable spindle carrying a cutter means. The workpiece is located upon a table with its accessible face turned downwards, the driving component of the machine is located below the table, and the spindle is made to extend through an opening in the working table and a passage in the workpiece, to present the cutter means at the, normally, non-accessible face of the workpiece. During operation the cutter means is brought to exert a downwardly directed pressure upon the workpiece, which is transferred to, and taken up by the working table.
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