Module 2 : Theory of projections

Lecture 19 : Projection of lines

Line parallel to one plane and inclined to the other

Case 5. Line parallel to VP and inclined to HP

A line AB, 90 mm long is inclined at 30° to HP and  parallel to VP.  The line is 80 mm in front of VP. The lower end A is 30 mm above HP. The upper end B is 50 mm in front of the right PP. The projections of line AB shown in figure 5 can be obtained in the following manner. Mark a', the front view of the end A, 30 mm above HP. Draw the front view a΄b΄ = 90 mm inclined at 30° to XY line.


Project the top view ab parallel to XY line. The top view is 80 mm in front of VP. Draw the X1Y1 line at a distance of 50 mm from b'.  Draw a 45° line through O. Draw the horizontal projector through the top view ab to cut the 45 ° line at m.  Draw a vertical projector through m.  Draw the horizontal projectors through a' and b' to intersect the vertical projector drawn through m at a” and b”.  Connect a΄΄ b΄΄ which is the left side view.

(b)

Figure 5.  Projections of line AB parallel to VP and inclined to HP.