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.
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.
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