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May 24, 2017 at 10:27 history edited Joseph O'Rourke CC BY-SA 3.0
Image link broken; now fixed.
Mar 25, 2011 at 22:20 comment added Gerry Myerson @Joseph, I see your figure and Andre's answer as expansions of my comment on the original question, a comment which I hoped OP would pick up on and develop himself into something like Andre's answer. But OP seems to have left the room.
Mar 25, 2011 at 12:22 comment added Joseph O'Rourke @Gerry: Your interpretation makes sense, in which case my figure supports André's answer.
Mar 25, 2011 at 11:31 comment added Gerry Myerson I took the problem to be, bound the number of segments in terms of $a$ and $b$.
Mar 25, 2011 at 11:29 history answered Joseph O'Rourke CC BY-SA 2.5