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under sides in e and /will not be seen from above, and are, therefore, not shown in the projection. CHAPTER IX PROJECTION IN THE UPPER PLANE 27. HAVING carefully worked out the problems given in Sheets 1 and 2, and studied, with the assistance of Figs. 98 and 99, and the descriptive matter in connection with them, the principles involved in obtaining the sectional plans and elevations of objects, the student should find no difficulty in solving the problems in the projection of solids which are now to follow. The first subject we take it being the simplest of all the plane solids is the " cube " ; but although simple, it is necessary that the student should fully comprehend the specific relations of its various faces and edges to each other, before starting to find its projections. This solid is defined as one having six equal sides or faces, all of them ;D Fig. 09a squares. It follows from this that adjacent sides must be at right angles to each other and opposite faces parallel ; the adjacent and opposite edges of the solid having the same relative positions. Bear- ing these facts in mind, the projections of the cube are easily ob- tained. To put the original object on the paper as required in the problems, it is necessary to note the difference between the diagonal of a face of a cube, and a diagonal of the cube itself. The first is a line joining the opposite corners of any one of its faces (as d, Fig. 99), and the latter is an imaginary line joining the vertices of any two of its opposite solid angles, or those formed by the junction of three adjacent