A method for casing in books, in which • book blocks are vertically transported astraddle by means of saddle plates of a continuous conveyor, which engage into the book blocks, while glue is applied on their lateral surfaces in a first transport section and • said book blocks respectively penetrate into the spine region of a book case, which is essentially laid out flat on a support, in a second transport section and during their continuing transport motion lift the book case out of its resting position and carry along said book case such that the covers of the book case place themselves against the glued lateral surfaces of the book block, wherein • a device with rub-down rollers for rolling down the cover onto the lateral surfaces moves synchronous with the saddle plate in a first subsection and the rub-down rollers are positioned due to an adjusting motion (b), which is adapted to the book thickness, such that they support the spine region of the book case at least until the book case is free of the support, and wherein • the rub-down device carries out a rub-down motion (a) relative to the book case, which is directed opposite to the transport direction (d) of the book blocks, in a following second subsection, with the rub-down rollers rolling along the outer surfaces of the covers and thereby rubbing down these covers onto the lateral surfaces of the book blocks, characterized in that • the adjusting motion (b) of the rub-down rollers is in each working cycle of the rub-down device divided into at least two segments (A, B), wherein the adjusting motion (b) takes place in a position-controlled fashion in at least a first segment and the adjusting motion (b) takes place in a force-controlled fashion in at least one additional segment, and wherein the control of the rub-down device interprets the information received from a first sensor system via a data line as the instantaneous horizontal position of the rub-down rollers during the first segment and the information received from a second sensor system via a data line as the force exerted upon the book by the rub-down rollers during the additional segment. • book blocks are vertically transported astraddle by means of saddle plates of a continuous conveyor, which engage into the book blocks, while glue is applied on their lateral surfaces in a first transport section and • said book blocks respectively penetrate into the spine region of a book case, which is essentially laid out flat on a support, in a second transport section and during their continuing transport motion lift the book case out of its resting position and carry along said book case such that the covers of the book case place themselves against the glued lateral surfaces of the book block, wherein • a device with rub-down rollers for rolling down the cover onto the lateral surfaces moves synchronous with the saddle plate in a first subsection and the rub-down rollers are positioned due to an adjusting motion (b), which is adapted to the book thickness, such that they support the spine region of the book case at least until the book case is free of the support, and wherein • the rub-down device carries out a rub-down motion (a) relative to the book case, which is directed opposite to the transport direction (d) of the book blocks, in a following second subsection, with the rub-down rollers rolling along the outer surfaces of the covers and thereby rubbing down these covers onto the lateral surfaces of the book blocks, • the adjusting motion (b) of the rub-down rollers is in each working cycle of the rub-down device divided into at least two segments (A, B), wherein the adjusting motion (b) takes place in a position-controlled fashion in at least a first segment and the adjusting motion (b) takes place in a force-controlled fashion in at least one additional segment, and wherein the control of the rub-down device interprets the information received from a first sensor system via a data line as the instantaneous horizontal position of the rub-down rollers during the first segment and the information received from a second sensor system via a data line as the force exerted upon the book by the rub-down rollers during the additional segment.