Figure 8 shows the method of drawing a circle touching three lines inclined to each other but not forming a triangle.

• Let AB, BC, and AD be the lines.
• Draw bisectors  of the two angles, intersecting at O.
• From O draw a perpendicular to any one line intersecting it at P.
• With O as center and OP as radius draw the desired circle.

 

Figure 9 shows the method of drawing  outside a regular polygon, the same number of equal circles as the sides of the polygon, each circle touching one side of the polygon and two of the other circles.

• Draw bisectors of two adjacent angles and produce them outside the polygon.
• Draw a circle touching the extended bisectors and the side AB (in this case) and repeat the same for other sides.

Figure 9 shows the method of drawing  outside a regular polygon, the same number of equal circles as the sides of the polygon,