Method for automatically exposing a branch-off point of a line system which has been rehabilitated with a lining sleeve, comprising the following steps, in particular in this order: a) providing an exposing apparatus, comprising a data processing device, in the rehabilitated line and arranging the exposing apparatus in front of the branch-off point to be exposed; b) inputting a geometrical shape to be exposed by means of an input device; c) exposing the branch-off point by automatically milling out, in a manner controlled by the data processing device, sections of the lining sleeve along the input geometrical shape using an exposing device of the exposing apparatus, also comprising the following steps, in particular in parallel with or after step b): d) inputting the geometrical shape by selecting the geometrical shape from a range of geometrical figures stored in the data processing device, in particular comprising circles, ellipses, rectangles and/or polygons, or e) drawing the geometrical shape in a freehand manner and reading said shape into the data processing device by means of an image capture device, in particular a scanner or a camera device, or f) drawing the geometrical shape in a freehand manner by means of the input device, in particular by means of a trackpad or a mouse, wherein in particular at least one of the parameters can be or is selected from a group of parameters comprising a length, a width, a height and a diameter of the geometrical shape, also comprising the following steps, in particular in parallel with or after step b): g) inputting a position of the geometrical shape relative to the inner wall of the lining sleeve by means of the input device, in particular an angular position of the geometrical shape based on a centre of the radius of the lining sleeve and/or a distance based on the deepest point of the lining sleeve, and/or h) detecting the position of the free end of the exposing device and automatically arranging the geometrical shape starting with the detected position of the free end of the exposing device, and i) subsequently optionally turning, rotating, inclining and/or shifting the geometrical shape by means of the input device. a) providing an exposing apparatus, comprising a data processing device, in the rehabilitated line and arranging the exposing apparatus in front of the branch-off point to be exposed; b) inputting a geometrical shape to be exposed by means of an input device; c) exposing the branch-off point by automatically milling out, in a manner controlled by the data processing device, sections of the lining sleeve along the input geometrical shape using an exposing device of the exposing apparatus, also comprising the following steps, in particular in parallel with or after step b): d) inputting the geometrical shape by selecting the geometrical shape from a range of geometrical figures stored in the data processing device, in particular comprising circles, ellipses, rectangles and/or polygons, or e) drawing the geometrical shape in a freehand manner and reading said shape into the data processing device by means of an image capture device, in particular a scanner or a camera device, or f) drawing the geometrical shape in a freehand manner by means of the input device, in particular by means of a trackpad or a mouse, wherein d) inputting the geometrical shape by selecting the geometrical shape from a range of geometrical figures stored in the data processing device, in particular comprising circles, ellipses, rectangles and/or polygons, or e) drawing the geometrical shape in a freehand manner and reading said shape into the data processing device by means of an image capture device, in particular a scanner or a camera device, or f) drawing the geometrical shape in a freehand manner by means of the input device, in particular by means of a trackpad or a mouse, wherein in particular at least one of the parameters can be or is selected from a group of parameters comprising a length, a width, a height and a diameter of the geometrical shape, also comprising the following steps, in particular in parallel with or after step b): g) inputting a position of the geometrical shape relative to the inner wall of the lining sleeve by means of the input device, in particular an angular position of the geometrical shape based on a centre of the radius of the lining sleeve and/or a distance based on the deepest point of the lining sleeve, and/or h) detecting the position of the free end of the exposing device and automatically arranging the geometrical shape starting with the detected position of the free end of the exposing device, and i) subsequently optionally turning, rotating, inclining and/or shifting the geometrical shape by means of the input device. g) inputting a position of the geometrical shape relative to the inner wall of the lining sleeve by means of the input device, in particular an angular position of the geometrical shape based on a centre of the radius of the lining sleeve and/or a distance based on the deepest point of the lining sleeve, and/or h) detecting the position of the free end of the exposing device and automatically arranging the geometrical shape starting with the detected position of the free end of the exposing device, and i) subsequently optionally turning, rotating, inclining and/or shifting the geometrical shape by means of the input device.