Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . considered, that willshow true length and contain an angle, a°, with XY, equal to the angle thehne makes with the V^P. —The secondary positions for the lines in Figs. 4 and 5 are shown bydouble lines to emphasize them. EXERCISE III I. Place the plan and elevation of the line AB, making the plan ab 2 long and the elevation3 long. Find the true length of this line, and also its inclinations to the planes of the angles as in Fig. 4 with arrow-headed arcs and us


Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . considered, that willshow true length and contain an angle, a°, with XY, equal to the angle thehne makes with the V^P. —The secondary positions for the lines in Figs. 4 and 5 are shown bydouble lines to emphasize them. EXERCISE III I. Place the plan and elevation of the line AB, making the plan ab 2 long and the elevation3 long. Find the true length of this line, and also its inclinations to the planes of the angles as in Fig. 4 with arrow-headed arcs and use a. to indicate the angle with the ,and ii for the angle with the ^. The plan cd is 2 long. The line CD is 3 long. Draw an elevation for it, and showwhat angles the line-CZ) makes with the planes of projection. 8 DESCRIPTIVE GEOMETRY 3. The elevation of EF is 2 long, and is at 45° to XY. The line is at 30° to the Finda plan for it, and also determine its true length. 4, 5 and 6. Find the true length of each of the given lines GH, JK and LM, and their indina-tions to the planes of CHAPTER II PLAX AND ELEVATION FORMS FOR PLANE RECTILINEAL FIGURES Section 3. Suppose it be required to lind the projections of any plane figureinclined at a given angle to one of the projection i)lanes and having one of itsedges in that projection plane at a given inclination to the XV. Illustrationsof such a problem are shown in Fig. 6 and Fig. 7. In Fig. 6 a square is chosen and is first placed, as at (i), in the Its planis therefore part of the XY line. In order that it may swing out at the required


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