Cut a line into N segments

How to Cut a line into N segments
using just a compass and a straightedge

Here we cut a line into 3 segments, but the same approach can be used to cut a line into any number of segments:

Steps:

  • Draw a line from the start point, heading somewhat upwards
  • Use the compass to divide it into 3 segments
  • Use the compass to create a parallel line heading backwards and down from the end point.
  • Use the compass to divide it into 3 segments
  • Connect the intersection points of the two new lines, and where they cross the original line it will be neatly subdivided.