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In the form of four lectures the author outlines the roentgen-ray therapy of deep lying cancer by the use of the Roentgen rays of extremely short wave length combined with copper filters, large areas and increased distance, so as to obtain a high dose quotient at the depth of the disease. Only by this means is an adequate dosage of rays administered to the cancer cells without injuring the overlying tissues. The depth of ten cm. is used as a standard for computing ray absorption, and in order to generate a beam rich in the rays of high penetrating character a larger capacity tube must be used combined with an electrical transformer delivering a current of much higher potential than has been the practice in the past. Two hundred thousand volts excites the tube, and the beam is filtered through a copper filter of a thickness the major fraction of