Pentagon. In the following subparagraphs, we will discuss the procedures for constructing a pentagon. We have to draw a pentagon inscribed in a circle of diameter A. To draw this pentagon, perform the following steps:

Step 1. Construct a circle of diameter A.

Step 2. Define points 0, 1, and 2 as shown in view A.

Step 3. Bisect line 0-1 and define the midpoint as point 3 (figure 32, view A).

Step 4. Define point 4 as shown in view A.

Step 5. Using a compass set on point 3, construct an arc through point 4 and line 2-0.

Step 6. Define the intersection of the arc and line 2-0 as point 5.

Step 7. Using a compass set on point 4, construct an arc through point 5 and the edge of the circle (view B).

Step 8. Define the intersection of this arc and the circle as point 6 (figure 32, view C, on the previous page).

Step 9. Using a compass, mark off the distance 4-6 around the circumference of the circle as shown in view C.

Step 10. Draw in the pentagon (view C).