The discovery of X rays was made possible by the intelligent use of the best accelerator of the time. Since then, the development of particle accelerators has been at the root of both fundamental discoveries in physics and unforeseeable medical applications. The lecture will describe the major steps in this 120-year history of diagnostics and tumour therapy. The first attempts to heal tumours with X rays were made only one month after Röntgen’s discovery, but the understanding of the mechanisms by which the radiation kills the cells and the introduction of dose fractionation took much longer. The use of X rays in diagnostics developed much faster and its benefits were very visible during the First World War. Today no t...