Elements of Descriptive Geometry: With Its Applications to Spherical Projections, Shades and Shadows, Perspective and Isometric Projections

Elements Of Descriptive Geometry: With Its Applications To Spherical Projections, Shades And Shadows, Perspective And Isometric Projections by Albert Ensign Church is a comprehensive manual on the geometric methods for representing three-dimensional forms on two-dimensional surfaces. The book systematizes orthographic projection, including the representation of points, lines, and planes, and covers spherical projections (orthographic, stereographic, gnomonic, cylindrical, conic, maps), shades and shadows, linear perspective (points, vanishing points, lines of apparent contour, practical problems), and isometric projections. It also explores the generation and classification of surfaces, tangent planes and normals, the development of surfaces, and the intersections of curved surfaces. Throughout, it provides explicit constructions, rules of notation, and numerous problems designed to train engineers and draftsmen, particularly for the U.S. Military Academy. The Preface notes the author’s aim to present elementary principles clearly and concisely, with acknowledgments to Davies, Leroy, Olivier, and Warren.