the inside and the outside of the mold in which the preform is contained after impregnation a step of polymerizing the resin is performed the winding machine 20 making this possible while also performing real time monitoring of the alignment and possible off centering of the preform itself comprises a stand 22 supporting in particular the takeup mandrel 24 and the impregnation mandrel 26 the takeup mandrel 24 that receives the preform 28 as obtained by three dimensional weaving is carried by a horizontal shaft 30 having one end rotatably mounted on the stand 22 of the winding machine and having its other end coupled to the outlet shaft of a first motor 32 the impregnation mandrel 26 for receiving superposed layers of the preform as unwound from the takeup mandrel and that presents an outside surface of profile corresponding to the profile of the inside surface of the casing that is to be made is itself carried by a horizontal shaft 34 that is parallel to the axis of rotation 30 of the takeup mandrel and that has one end rotatably mounted on the stand 22 while its other end is coupled to the outlet shaft of a second motor 36 forming rolls 38 may be provided between the takeup.