Engineering graphics: theoretical foundations of engineering geometry for design

This professional treatise on engineering graphics emphasizes engineering geometry as the theoretical foundation for communication of design ideas with real world structures and products. It considers each theoretical notion of engineering geometry as a complex solution of direct- and inverse-problems of descriptive geometry and each solution of basic engineering problems presented is accompanied by construction of biunique two- and three-dimension models of geometrical images. The book explains the universal structure of formal algorithms of the solutions of positional, metric, and axonometric problems, as well as the solutions of problems of construction in developing a curvilinear surface. The book further characterizes and explains the added laws of projective connections to facilitate construction of geometrical images in any of eight octants. Laws of projective connections allow constructing the complex drawing of a geometrical image in the American system of measurement and the European system of measurement without errors and mistakes. The arrangement of projections of a geometrical image on the complex drawing corresponds to an arrangement of views of a product in the projective drawing for the European system of measurement. The volume is ideal for engineers working on a range of design projects as well as for students of civil, structural, and industrial engineering and engineering design. • Facilitates development of spatial imagination and imaginative perception in the context of developing a generalized approach to solving geometrical engineering problems; • Explains geometric and analytical models of points, straight lines, planes, and surfaces; • Provides solutions for basic engineering problems accompanied by construction of biunique two- and three-dimension models of geometrical images; • Includes detail on geometric projections and complex drawings; • Provides an arrangement of views of a product in the projective drawing for various systems of measurement.

Systems of Measurement for the Construction of Geometrical Models

In the present work, the relevant components of the two basic system of measurement are defined through the analysis of existing systems of measurement for geometrical modeling. The major features of such systems related to the ways of formation of the two-dimensional complex drawing of a geometrical image on the basis of laws of projective connections are revealed. Interrelations of the elements of different systems of measurement with various projections of a geometrical image are defined. The relative location of projections of a geometrical image into the constructed two-dimensional complex drawings for various systems of measurement is discussed. The rationale behind a particular arrangement of views in the projective drawing of a product in the analyzed systems of measurement is explained