Divide a circular disk into seven parts with a straightedge and compass such that each part has the same area and perimeter.
(In reply to
Heptagon vs. 180 rotation by nikki)
Nikki, draw any nonconcurrent line through an endpoint of the line segment you want to divide into n equal parts. starting at the intersection/endpoint, use the compass (set at any length you want) to walk down the line and make n equally spaced points. Draw a line from the the nth point to the "other" endpoint of your line segment. Then for each of the remaining n1 point, construct a line that passes through this point is parallel to the last line drawn. These parallel lines will divide up your line segment into n equal parts. There is no need for the first line to be any particular angle from the line segment (other than 0 or 180). Jer's picture shows this nicely with the dotted lines.
Make sense? Hope this helps :)

Posted by owl
on 20041210 21:55:32 