As ofiered to the public this course is intended to form a text book for high, normal, and technical schools and for colleges; also as a book of reference for supervisors and teachers of draw ing, and for draughtsmen and artists whose training in perspective needs to be supplemented. Where a less extended course is de sired, selections can be made from it at the discretion of the teacher. Moreover there are students so situated that personal art teaching is beyond their reach, though books could be had. But while perspective books, excellent in certain directions, have been published, it has been found difficult to direct inquirers to anything at once directly applicable to immediate use and com prehensive enough to give a working knowledge of the subject. For several years, therefore, the need which this book is intended to meet has been increasingly felt. In the hope that it may pass on to others the aid received in the past it is sent forth.