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>> No.9404990 [View]
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9404990

>>9404523
I mean any pair of distinct vertices. The idea is basically the same as >>9404048 but you also check for intersections and continue the lines past vertices if possible.

>>9404530
I would think that the method works. The attached picture shows the simplified problem; if there exists a case in which AB - which passes through only one vertex - is the longest line, then the method will not work. However, in these cases either CD or EF should(?) be longer. I tried applying cosine rule and got something, but couldn't quite complete the proof...

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