Fig. 116.
Ex. 13.—To draw tangents to a circle from points without it, [Fig. 116]. From A with the radius A C describe an arc B C D, and from C with a radius equal to the diameter of the circle, cut the arc at B D, join B C, C D, cutting the circle at E F, and draw A E, A F, the tangents.
Fig. 117.
Ex. 14.—Between two inclined lines to draw a series of circles touching these lines and touching each other, [Fig. 117]. Bisect the inclination of the given lines A B, C D by the line N O. From a point P in this line draw the perpendicular P B to the line A B, and on P describe the circle B D, touching the lines and cutting the center lines at E. From E draw E F perpendicular to the center line, cutting A B at F, and from F describe an arc E G, cutting A B at G. Draw G H parallel to B P, giving H, the center of the next circle, to be described with the radius H E, and so on for the next circle, I N.
Fig. 118.
Fig. 119.
Ex. 15.—To construct a triangle on a given base, the sides being given.