When a series of parallels are required perpendicular to a base line A B, they may be drawn as in [fig. 107] through points in the base line set off at the required distances apart. This method is convenient also where a succession of parallels are required to a given line C D, for the perpendicular may be drawn to it, and any number of parallels may be drawn on the perpendicular.
Fig. 108.
Fig. 109.
Ex. 6.—To divide a line into a number of equal parts, [Fig. 108].
To divide the line A B into, say, five parts. From A and B draw parallels A C, B D on opposite sides; set off any convenient distance four times (one less than the given number), from A on A C, and on B on B D; join the first on A C to the fourth on B D, and so on. The lines so drawn divide A B as required.
Second Method, [Fig. 109]. Draw the line at A C, at an angle from A, set off, say, five equal parts; draw B 5, and draw parallels to it from the other points of division in A C. These parallels divide A B as required.
Fig. 110.