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55. As a test of the correctness of the two last-found projections, all the lines in the original object A that are parallel to each other MECHANICAL AND ENGINEERING DRAWING 127 should be parallel in their projections, for if they are not, there is some inaccuracy in projecting over corresponding points in the different views, as no alteration of position of the original object, with respect to the planes of its projection, can in any way affect its form, or the relative position of its surfaces, from whatever direction it may be viewed. These deductions apply, of course, to all " original " objects, but they require to be more particularly remembered here, as in no other part of the subject is there the same likelihood of making a false projection of an object, as when it is inclined to both the planes of its projection. As no better examples of plane-surfaced solids, as objects for pro- jection in this part of our subject, can be chosen than those whose forms the student is already familiar with viz., the cube, prism, pyra- mid, etc. they will be taken in the same order as before, and the first problem is Problem 60 (Fig. 163). Given the plan of a solid cube, with one of its faces upon the HP ; to find its plan and elevations, together with a sectioned plan and elevation, when the plane on which it rests is inclined to the horizontal at an angle of 80. Let the square 1, 2, 3, 4, No. 1, be the given plan of the cube, IL being the intersecting line of the VP and HP, and DL a datum line parallel to the IL, at any convenient distance below the plan of the cube. At 0, say in the IL, draw a line OP, making with the IL an angle of 30. Set off on OP, from 0, in points 1', 4', 3', the distances