and through which a sliding carriage 3 moves longitudinally turrets 19 are arranged at both extremities of the base 2 of the cutting machine 1 where the extremities of the guides 4 are inserted the sliding carriage 3 carries the cutting tool known as a scoring wheel in charge of tracing the ceramic piece 5 once the tracing is complete on said ceramic piece 5 the same is broken by means of a breakage system the present invention comprises an extractable actuating lever 9 which activates the breakage system a through shaft 13 a cam 6 a die 8 located in the lower part of the breakage system below the supporting plane of the piece to be cut and a separator 7 in the upper part of the breakage system which in turns comprises a ram 15 as shown in fig1 and 2 the actuating lever 9 of the die 8 has been displaced towards the exterior of the guides 4 in the breakage system object of the invention said actuating lever 9 is extractable this way the path of the sliding carriage 3 is cleared such that it does not interfere with said lever 9 likewise given that the.