fig1 to 15 the end 36 has been offset towards the left so as better to explain some steps which take place on the existing track upstream of the track end 36 fig1 synthesizes and completes the steps of the method explained with reference to fig1 to 15 fig1 and 2 respectively illustrate a first laying phase 1 and a first transient phase 2 within the conveying step 101 of a current track panel 32 in which an operator causes a motorized lorry 34 to travel on the existing track 31 the lorry carrying the current panel 32 so as to bring the motorized lorry 34 near to the end 36 of the track solely as a non limiting illustration the operator is a human being a team of human beings or a programmable logic controller if the operator is a human being a portable remote control station allows controlling of the functions which are each servo controlled for implementing the method the use of a programmable logic controller is possible provided it is equipped with sensors and a programme that are sufficient to make provision for all the situations which may occur a human being is able to confront unexpected and varied situations whilst controlling the proper conducting of the method without having to invest in a prohibitive number of sensors and complex combined programming fig2 illustrates a system which allows the method of the.