Delta-K,  Feature Articles,  Volume 38, Issue 1

n-Secting a Line Segment by Straightedge and Compass Methods (with an Inductive Proof Using Vector Theory)

Journal of the Mathematics Council of the Alberta Teachers’ Association

Volume 38 Issue 1, December 2000

46 – 48

n-Secting a Line Segment by Straightedge and Compass Methods (with an Inductive Proof Using Vector Theory)

Murray L. Lauber and Keith Harder

The motivation for this article grew out of a problem presented to me by an artist colleague at Augustana University College, Keith Harder. He had located the thirds, fourths, fifths and so on of the diagonals of a rectangle on a grid by methods in harmony with those described here and was looking for a mathematical justification of the methods. The grid illustrated a variety of methods of finding these thirds, fourths, fifths and so on. In the interests of simplicity, I have focused on just one.