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The aim of this book is to preseut the essentials of Descriptive Geometry in a clear and concise manner. There has been no attempt to make it an exhaustive treatise on the subject. Since frequent practice in the applications of the fundamental principles of the subject has been found to produce the best results, numerous original problems are given. Problems involving the application of a particular principle are given at the close of the discussion of that principle, while those of a more general character and requiring more time tor their solution are given at the end of the chapter. By considering tangent lines and tangent planes as the limiting positions of secant lines and secant planes respectively, the troublesome terms consecutive points and consecutive elements are avoided Tangent planes are discussed in connection with the representation of surfaces. It is believed that this aids the student in securing an early understanding of the fundamental difference between any two classes of surfaces. Plane sections, intersections and developments of prisms and pyramids are discussed in connection with the same operations applied to cylinders and cones. While the arrangement and treatment of the subject is the outgrowth of an extended class-room experience, the preliminary notes were developed from year to year by frequent reference to the works of Church, Watson, De laG ournerie, Javary, Pillet, F. J. and others. The University of Wisconsin, Madison, Wis. January,
(Typographical errors above are due to OCR software and don't occur in the book.)
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