Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. The author presents to the reader the pages which follow in the hope that they may stimulate thought, suggest new methods and aid in the elucidation of some of the difficult problems of ocular refraction. Charles sheard. Department of Physiological Optics, Research Division, The American Optical Company, Southbridge, Mass, 1920.