Elements of Descriptive Geometry: Surfaces of Revolution

Elements Of Descriptive Geometry: Surfaces Of Revolution by Samuel Edward Warren. This foundational 19th?century treatise introduces Descriptive Geometry as the science of form and position in space, using projections on two perpendicular planes. It classifies surfaces by their generative method, with Part I devoted to surfaces of revolution, Part II to surfaces of transposition, and Part III to special subjects. The work covers the theory and practice of projections (orthogonal and oblique), traces and developments, and the solution of problems concerning points, lines, planes, tangencies, and intersections. It includes detailed sections on cylinders and cones, developable and warped surfaces, and the conic sections—ellipse, parabola, and hyperbola—treating their properties, tangents, normals, and asymptotes. Rich with diagrams and step?by?step procedures, the book combines mathematical rigor with instructional problems designed for engineering and architectural applications. The author emphasizes the method of projection as a research tool and aims for a self-contained text suitable for colleges and technical schools.