Divide a Line Segment into a Whole Number of Parts

Geometric Construction with the Compass Alone

Construct segments 2, 3, 4, etc. times as small as AB.

Solution

Pick an arbitrary segment b and, for a given n, construct a segment with length a=nb (Problem #1). Let c be the length of the given segment. Use Problem #10 to find x such that a/b=c/x. x=c/n is the required length.


[an error occurred while processing this directive]

|Contact| |Front page| |Contents| |Up|

Copyright © 1996-2018 Alexander Bogomolny
[an error occurred while processing this directive]
[an error occurred while processing this directive]