45 u00b0 for example to this end the winding head 7 is mounted so as to pivot around a vertical axis v which is orthogonal to the axis of the slot 3 using means symbolized by 25 which make it possible to pivot the head 7 on the carriage 26 thereby assuring the displacement of the head parallel to the slot 3 along the double arrow h the means 25 are of course linked to the control station 8 that actuates and controls the winding steps in the apparatus of the invention the mandrel 2 is configured so as to obtain a cylindrical tubular piece made of a fiber composite constituted by a vitreous or glass ceramic matrix the fibers can be of different kinds for example fibers of sic c al 2 o 3 sio 2 and si 3 n 4 the vitreous or glass ceramic matrix can for example be constituted by at least one oxide of the sio 2 al 2 o 3 zro 2 or b 2 o 3 type or by alkaline or alkaline earth oxides the fibers f are fibers which are preimpregnated in the known manner with the constituents of the matrix for example fibers.