The present invention relates to a method of cutting a sheet strip (1) of material or complexed for the production of blanks intended to form, after its shaping, a skirt of the cover of the bottle, which is characterized by the fact that the blanks are cut from an arrangement of the blanks by the pair (s), the two sides of the pair (5a - 6a) (5b - 6b) (5c - 6c) being head - in opposite directions along the width of the sheet in strip and the blanks being aligned with the line along the length of the sheet in strip form. A machine that is specially configured to this end the invention.
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