The document outlines a method for dividing a circle using a compass, detailing the process of drawing a series of circles to create intersections. This technique results in dividing the central circle into six equal parts, which can form a regular hexagon. Additionally, it describes how to further divide the figure into twelve parts by locating midpoints and repeating the initial sequence.

1. Dividing a circle with a compassgerard brown2D Foundation Princples

2. 1. Draw a circle with your compass

3. 2. Draw a 2nd circle whose center is on the edge of the first your compass (red)

4. 3. Draw a 3rd circle whose center is on the edge of the 2nd(this on is green)

5. 4. Draw a 4th circle whose center is on the edge of the 3rd(this one is blue)

6. 5 - 7. Using the points at which each new circles intersects the original shape, inscribe 3 more circles (they are purple)

7. The central circle is now divided into six equal parts. Connecting the points will make a regular hexagon.

8. To divide the figure into 12 parts, locate the midpoint between two points on the edge of the central circle.

9. Moving clockwise from that point, repeat the sequence by which you located the first six peripheral circles (red).